Answer:
The volumetric flow through the pipe is 1.21 ft³/s
Explanation:
Given;
fluid mean velocity, v = 10 ft/s
outer diameter of the pipe, d₀ = 4.95 inches = 0.4125 ft
thickness of the pipe, x = 0.25 inches = 0.0208 ft
the inner diameter of the pipe, d₁ = d₀ - x = 0.4125 ft - 0.0208 ft = 0.3917 ft
the area of the pipe = \(A = \frac{\pi d_i^2}{4} = \frac{\pi * 0.3917^2}{4} = 0.121 \ ft^2\)
The volumetric flow rate of the pipe is given by;
Q = Av
Q = (0.121 ft²) (10 ft/s)
Q = 1.21 ft³/s
Therefore, the volumetric flow through the pipe is 1.21 ft³/s
Highway safety engineers want to design roadside barriers that will crumple
in the event that a car drives off the road and collides with them, slowing
down the car more gradually. The average person has a mass of 68 kg and
travels on a highway at a velocity of 27 m/s. If the engineers know that the
maximum force that a person can safely withstand is 1650 N, approximately
how much time is required to crumple the barrier to safely slow the person
with this force?
A 1.5s
B. 0.7 s
C. 1.1 s
D. 2.1 s
The time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately C, 1.1 seconds.
How to find time?To determine the time required to crumple the barrier and safely slow down the person with a maximum force of 1650 N, use the equation of motion:
F = m × a
where:
F = force
m = mass
a = acceleration
Given:
m = 68 kg
F = 1650 N
Find the acceleration (a) first. Rearranging the equation:
a = F / m
Substituting the values:
a = 1650 N / 68 kg
a ≈ 24.26 m/s²
Now, use the equation of motion to find the time (t):
v = u + at
where:
v = final velocity (0 m/s as the person comes to a stop)
u = initial velocity (27 m/s)
a = acceleration (24.26 m/s²)
t = time
Rearranging the equation:
t = (v - u) / a
Substituting the values:
t = (0 m/s - 27 m/s) / 24.26 m/s²
t ≈ -27 m/s / 24.26 m/s²
t ≈ -1.11 s
The negative sign indicates that the time is in the opposite direction to the initial velocity. Taking the absolute value, the time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately 1.11 seconds.
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Some types of bacteria contain chains of ferromagnetic particles parallel to their long axis. The chains act like small bar magnets that align these magnetotactic bacteria with the earth's magnetic field. In one experiment to study the response of such bacteria to magnetic fields, a solenoid is constructed with copper wire, 1.0 mmmm in diameter, evenly wound in a single layer to form a helical coil of length 40 cmcm and diameter 12 cmcm. The wire has a very thin layer of insulation, and the coil is wound so that adjacent turns are just touching. The solenoid, which generates a magnetic field, is in an enclosure that shields it from other magnetic fields. A sample of magnetotactic bacteria is placed inside the solenoid. The torque on an individual bacterium in the solenoid’s magnetic field is proportional to the magnitude of the magnetic field and to the sine of the angle between the long axis of the bacterium and the magnetic-field direction.
What current is needed in the wire so that the magnetic field experienced by the bacteria has a magnitude of 150μT?
a. 0.095 A
b. 0.12 A
c. 0.30 A
d. 14 A.
Answer:
the required current is 0.12 A
Option b) 0.12 A is the correct answer
Explanation:
Given the data in the question,
to determine the current needed in the wire, we use the following relation;
B = μ₀n\(I\)
\(I\) = B / μ₀n
where μ₀ is the magnetic constant ( 4π × 10⁻⁷ T.m/A )
n is the number of turns ( 1 / 1mm\(\frac{10^{-3}m}{1 mm}\)) = 1000 m⁻¹
B is magnitude ( 150μT ( \(\frac{10^{-6}m}{1uT}\)) )
so we substitute
\(I\) = [ 150μT ( \(\frac{10^{-6}m}{1uT}\)) ] / [ ( 4π × 10⁻⁷ T.m/A ) × 1000 m⁻¹ ]
\(I\) = [ 0.00015 ] / [ 0.00125 ]
\(I\) = 0.12 A
Therefore, the required current is 0.12 A
Option b) 0.12 A is the correct answer
if the body is floating in a liquid then can we say that the rise in the level of the liquid is equal to the height of the body
Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.
Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.
When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.
This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.
A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 55.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact (in years)
Answer:
\( t = 4.942\times10^{3}\)
Explanation:
we know that
\(t =-\frac{ln\frac{R}{R_0} }{\lambda}\)
the symbols have their usual meaning
Also,
\(t=-T_{1/2}\frac{ln\frac{R}{R_0} }{ln2}\)
now plugging the values we get
\(t=-5730\frac{ln(0.55) }{ln(2)}\)
\( t = 4.942\times10^{3}\) years
Which one these statements describes how to typically tell the difference
between a synthesis (S) reaction and a decomposition (D) reaction?
Tap to select or deselect answer.
An S reaction has one product and two or more reactants and a D reaction
has one reactant and two or more products.
An Sreaction has one reactant and two or more products and a D reaction
has one product and two or more Reactants.
An S reaction has oxygen as a reactant and a Dreaction has oxygen as a
product
An S reaction has oxygen as a product and a D reaction has oxygen as a
reactant
Answer: An S reaction has one product and two or more reactants and a D reaction has one reactant and two or more products.
Explanation:
In a synthesis reaction, two or more simple molecules or substances interact to form a more sophisticated product. (General equation: A + B → AB)
When one reactant decomposes into two or more products, this is known to as a decomposition reaction. (General equation: AB → A + B)
Complete the sentence.
When a force applied at an angle causes an object to move horizontally,
only the
of the force does work.
Answer: horizontal component
Explanation: only force which is parallel to motion does work
A force applied at an angle causes an object to move horizontally only force which is parallel to motion does work.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force.
An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
A force applied at an angle causes an object to move horizontally only force which is parallel to motion does work.
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natasha weighs 530 n what is her kendrick energy as she swims at a constant speed covering a distance of 72 m in 1.0 min
Given,
The weight of Natasha, W=530 N
The distance covered by Natasha, d=72 m
The time in which she covers the given distance, t=1 min= 60 s
The mass of Natasha is given by,
\(m=\frac{W}{g}\)Where g is the acceleration due to gravity.
On substituting the known values,
\(\begin{gathered} m=\frac{530}{9.8} \\ =54.08\text{ kg} \end{gathered}\)The speed of Natasha is given by,
\(v=\frac{d}{t}\)On substituting the known values,
\(\begin{gathered} v=\frac{72}{60} \\ 1.2\text{ m/s} \end{gathered}\)The kinetic energy of a body is the energy possessed by the motion of the body.
And the kinetic energy of Natasha is given by,
\(E=\frac{1}{2}mv^2\)On substituting the known values,
\(\begin{gathered} E=\frac{1}{2}\times54.08\times1.2^2 \\ =38.94\text{ J} \end{gathered}\)Thus the kinetic energy of Natasha is 38.94 J
Water flows over a section of Niagara Falls at the rate of 1.2×106 kg/s and falls 50.0 m. How much power is generated by the falling water?
Answer:
5.88×10⁸ W
Explanation:
Power = energy / time
P = mgh / t
P = (m/t) gh
P = (1.2×10⁶ kg/s) (9.8 m/s²) (50.0 m)
P = 5.88×10⁸ W
This question involves the simple concept and formula of Power.
The power generated by the falling water is "5.88 x 10⁸ W".
Power can be defined as the energy applied per unit of time.
\(Power = \frac{Energy}{Time}\)
here, the energy is the potential energy, due to the fall of water:
\(Power = P = \frac{mgh}{t}\)
where,
g = acceleration due to gravity = 9.81 m/s²
h = height = 50 m
\(\frac{m}{t}\) = mass flow rate = 1.2 x 10⁶ kg/s
Therefore,
\(P = (1.2\ x\ 10^6\ kg/s)(9.81\ m/s^2)(50\ m)\\\)
P = 5.88 x 10⁸ W
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The attached picture explains the concept of work, power and energy.
Two long, straight wires are parallel and 20 cm apart. One carries a current of 2.2 A, the other a current of 5.9 A. (a) If the two currents flow in opposite directions, what is the magnitude (in N/m) and direction of the force per unit length of one wire on the other
Answer: \(1.298\times 10^{-5}\ N/m\)
Explanation:
Given
Current in the first wire \(I_1=2.2\ A\)
Current in the second wire \(I_2=5.9\ A\)
wires are \(20\ cm\) apart
Force per unit length between the current-carrying wires is
\(\Rightarrow \dfrac{F}{l}=\dfrac{\mu_oI_1I_2}{2\pi r}\)
Force exerted by the wires is the same
Put the values
\(\Rightarrow \frac{F}{l}=f=\dfrac{4\pi \times 10^{-7}\times 2.2\times 5.9}{2\pi \times 0.2}=1.298\times 10^{-5}\ N/m\)
This force will be repulsive in nature as the current is flowing opposite
A dielectric block such as shown in Fig. P5.1 is uniformly polarized. The polarization is P. Find the polarization charge density , on the faces 1, 2, and 3. (Find both magnitude and sign of the charge.) P Fig. P5.1
The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).
Thus, A dielectric is considered to be polarized when its molecules acquire an electric dipole moment when exposed to an external electric field.
Electric polarization of the dielectric is the term used to describe the electric dipole moment induced per unit volume of the dielectric material.
The forces that emerge from these interactions can be calculated using the polarization density, which also defines how a material reacts to an applied electric field and how it modifies the electric field. It is comparable to magnetization, which measures a material's equivalent response.
Thus, The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).
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In hiking, what fitness component is required of you
A car travels a distance of 120 km in 4 hours. What is its average speed in kilometers per hour?
Answer:
60 kilometers per hr
Explanation:
PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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how does a football work
Answer:
As the football travels up, gravity slows it down until it reaches a point where it stops briefly at its highest peak; then the football comes down, and gravity accelerates it until it hits the ground hard.
Have a great day!
A typical industrial-scale wind turbine has a peak efficiency of about 0.44 for a wind
speed of 9 m·s−1. That is, it converts about 44% of the kinetic energy of the wind
approaching it into usable electrical energy. The total air flow impinging on such a
turbine with a rotor diameter of 43 m is about 15,000 kg·s−1 for the given wind speed.(a) How much electrical energy is produced when 1 kg of air passes through the
turbine?
(b) What is the power output of the turbine?
(c) If there is no heat transferred to the air, and if its temperature remains
unchanged, what is its change in speed upon passing through the turbine?
1 kg of air passing through the turbine produces 1.98 kg m^2/s^2 of energy.
How much electrical energy is produced?The energy produced by the turbine can be calculated as follows:
Energy = Efficiency x Kinetic Energy of air
Efficiency = 0.44
Kinetic Energy of air = 1/2 * Mass * Velocity^2
Mass = 1 kg
Velocity = 9 m/s
Plugging in the values:
Energy = 0.44 * (1/2 * 1 kg * 9^2 m^2/s^2) = 0.44 * (1/2 * 9 kg m^2/s^2)
= 0.44 * 4.5 kg m^2/s^2
= 1.98 kg m^2/s^2
So 1 kg of air passing through the turbine produces 1.98 kg m^2/s^2 of energy.
(b) The power output of the turbine can be calculated as follows:
Power = Energy / Time
Time = 1 s (time taken by 1 kg of air to pass through the turbine)
Plugging in the values:
Power = 1.98 kg m^2/s^2 / 1 s = 1.98 kg m^2/s^3
= 1.98 J/s
= 1.98 Watts
So the power output of the turbine is 1.98 Watts.
(c) The change in velocity can be calculated using the law of conservation of energy:
Initial Kinetic Energy + Work done on air = Final Kinetic Energy
Work done on air = Efficiency x Initial Kinetic Energy
Plugging in the values:
Initial Kinetic Energy = 1/2 * 1 kg * 9^2 m^2/s^2 = 40.5 kg m^2/s^2
Work done on air = 0.44 * 40.5 kg m^2/s^2 = 17.82 kg m^2/s^2
Final Kinetic Energy = 40.5 kg m^2/s^2 - 17.82 kg m^2/s^2 = 22.68 kg m^2/s^2
Final Velocity = sqrt(2 * Final Kinetic Energy / Mass)
Plugging in the values:
Final Velocity = sqrt(2 * 22.68 kg m^2/s^2 / 1 kg) = sqrt(45.36 kg m^2/s^2)
= 6.72 m/s
So the change in velocity of the air upon passing through the turbine is 9 m/s - 6.72 m/s = 2.28 m/s.
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How does something(the big bang) come from nothing by nothing i mean the first universe although we don't know where the first universe is but we do know that nothing can't come from something.
The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.
It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.
Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.
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We desire to make an LC circuit that oscillates at 100 Hz using an
inductance of
2.5H. We also need a capacitance of
The capacitance needed in the LC circuit is 1 μF.
Capacitance needed to make the LC circuitThe capacitance needed to make the LC circuit is calculated as follows;
capacitive reactance = inductive reactance
Xc = Xl
1/2πfC = 2πfL
2πfC(2πfL) = 1
4π²f²LC = 1
LC = 1/4π²f²
C = 1/(4π²f²L)
where;
L is the inductancef is the frequencyC is the capacitanceSubstitute the given parameter and solve for the capacitance as follows;
C = (1)/(4π² x 100² x 2.5)
C = 1.01 x 10⁻⁶ F
C ≈ 1 μF
Thus, the capacitance needed in the LC circuit is 1 μF.
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in physics, a blank is a group of related objects that interact with eachother and form a complex whole
In physics, a system is a group of related objects that interact with each other and form a complex whole.
What is a system?In sciences (i.e., physics, chemistry and biology) a system can be defined as an interrelated group of different elements or parts that work together to perform a given function.
In conclusion, in physics and science disciplines in general, a group of related objects that interact in order to form a complex whole is commonly referred as a system.
Complete question:
Fill in the blank. In physics, a ____ is a group of related objects that interact with each other and form a complex whole.
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A particle, whose acceleration is constant, is moving in the negative x direction at a speed of 4.38 m/s, and 13.3 s later the particle is moving in the positive x direction at a speed of 7.95 m/s.
Part A: What is the particle’s acceleration in m/s2?
Part B: What is the particle’s velocity, in m/s, 13.3 s before it was moving in the negative x direction at a speed of 4.38 m/s?
Part C: When is the particle at rest? Express this answer as a time in seconds elapsed since it was moving in the negative x direction at a speed of 4.38 m/s?
solve all parts please
The particle’s acceleration is 0.268 m/s².
The initial velocity of the particle before 13.3 seconds is 3.56 m/s.
The time when the particle is at rest is 32.68 seconds.
Acceleration of the particleThe acceleration of the particle is calculated as follows;
a = Δv/Δt
a = (7.95 m/s - 4.38 m/s) / 13.3 s
a = 0.268 m/s²
Initial velocity of the particle before 13.3 secondsu = at
u = 0.268 m/s² x 13.3 s
u = 3.56 m/s
Time when the particle is at rests = ut + ¹/₂at²
0 = -4.38t + ¹/₂(0.268)t²
0.134t² = 4.38t
0.134t = 4.38
t = 32.68 seconds
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Calculate the net force on the particle q1.
Answer:
-12.1
Explanation:
i’m almost sure this is it, i’m checking my old answers
if not let me know and i’ll give you some more answers
wire (mass = 50 g, length = 40 cm) is suspended horizontally by two vertical wires which
conduct a current I = 8.0 A, as shown in the figure. The magnetic field in the region is into the
paper and has a magnitude of 60 mT. What is the tension in either wire?
The magnetic field in the region is into the paper and has a magnitude of 60 mT and the tension in either wire is 0.096 N.
To find the tension in either wire, we can apply the equation for the force experienced by a current-carrying wire in a magnetic field.
The force experienced by a current-carrying wire in a magnetic field is given by the equation F = B * I * L * sin(θ), where B is the magnetic field strength, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.
In this case, the wire is suspended horizontally by two vertical wires, and the magnetic field is into the paper. Since the wire is horizontal, the angle between the wire and the magnetic field is 90 degrees, so sin(θ) = 1.
The force experienced by the wire due to the magnetic field is F = B * I * L.
Given:
Current (I) = 8.0 A
Magnetic field (B) = 60 mT = 60 * 10^(-3) T
Length of the wire (L) = 40 cm = 40 * 10^(-2) m
Substituting the given values into the equation, we get:
F = (60 * 10^(-3) T) * (8.0 A) * (40 * 10^(-2) m)
Simplifying the expression, we find:
F = 0.192 N
Since the wire is suspended by two vertical wires, the tension in each wire will be half of the total force. Therefore, the tension in either wire is 0.192 N / 2 = 0.096 N.
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Claudia stubs her toe on the coffee table with a force of 100.ON. A) What is the
acceleration of Claudia's 1.80kg foot? B) What is the acceleration of the table if it has a mass
of 20.0kg? (ignore any frictional effects) C) Why would Claudia's toe hurt less if the table had
less mass?
Answer:
A.) acceleration= 55.6m/s^2
B.) acceleration of table= 5.0m/s^2
C.) More acceleration
Explanation:
A.) 100N/1.8kg= -55.6
B.) 100N÷20kg= 5
C.) Because since the table would have less mass, it would have had to accelerate more
A 3-m-diameter vertical cylindrical tank is filled with water to a depth of 11 m. The rest of the tank is filled with air at atmospheric pressure. What is the absolute pressure at the bottom of the tank
We have that the absolute pressure at the bottom of the tank is mathematically given as
Pabs=209.21Kpa
Absolute Pressure at the bottom of the tankQuestion Parameters:
A 3-m-diameter vertical cylindrical tank is filled
with water to a depth of 11 m.
Generally the equation for the Absolute Pressure is mathematically given as
Pabs=Patm+pgh
Therefore
Pabs=101.3e3+(1000*9.81*11)
Pabs=209.21Kpa
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Consider a vector G pointed 36.9 degrees clockwise from the positive y-axis. The vector's x- component has a value of 3. Find the magnitude of vector G.
A vector quantity has both magnitude and direction, and therefore, can be resolved into components
The magnitude of the vector, G is approximately 5 units
The value of the magnitude of the vector is correct for the following reason:
The given parameters are;
The direction in which the vector, G, is pointed, θ = 36.9° clockwise rotation from the positive y-axis
The x-component of the vector = 3
Required:
To find the magnitude of the vector
Solution:
Let |G|, represent the magnitude of the vector
Given that the angle, is measured from the y-axis, we have;
|G| × sin(θ) = The x-component of the vector
Therefore;
|G| × sin(36.9°) = 3
\(|G| = \dfrac{3}{sin(36.9^{\circ})} \approx 4.9965 \approx 5\)
The magnitude of the vector, G ≈ 5
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Question 7 of 20
What is required for an electromagnet to produce a magnetic field that is
strong enough to be useful?
Answer:
high number of coils in the wire
Using sound as your example, explain how these concepts differ: absolute threshold, subliminal stimulation, and difference threshold.
These aforementioned concepts differ in that:
Absolute threshold is the minimum level of stimulation an individual is able to sense. This is the lowest threshold at which an individual can detect a stimulus. Subliminal stimulation is a type of stimulus that is below the individual's absolute threshold. The difference threshold, also known as the just noticeable difference, is the minimum amount of difference between two stimuli for an individual to detect it.Absolute threshold, for sound, this would mean the lowest volume at which a person can detect a sound. Subliminal stimulation, This means that the stimulus is too weak for the individual to consciously detect, but can still influence their behavior in some way. The difference threshold, for sound, this would mean the smallest change in the volume of a sound that the individual can detect.Learn more about stimulation thresholds:
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What is the speed at 5.0 seconds? (Use the graph to draw on and help you)
The graph of the given values in the table is shown below:
In the previous graph, speed is represented by the vertical values (each unit represents 10.0 m/s) and time is represented by horizontal values (each unit represents 1.0s).
As you can notice on the graph, for a time of 5.0s the speed is 25.0m/s (by considering the red lines with show the values on vertical and horizontal axis)
Which is an example of convection currents?
marshmallows toasting over a campfire
a pot being heated by an electric burner
feet getting hot when stepping across sand
a radiator emitting warm air and drawing in cool air
Answer:
D
Explanation:
took the quiz!!! I picked B and got it wrong!
An example of convection currents is a radiator emitting warm air and drawing in cool air.
What is Convection?This is a method of heat transfer which is characterized by movement of a heated fluid such as air or water.
A radiator emitting warm air and drawing in cool air involves a fluid which is why option D was chosen as the most appropriate choice.
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The brakes of an automobile can decelerate it at -4.7m/s^2. If the automobile is traveling at the rate of 31.0m/s How far will it travel after the brakes are applied before it stops?
Please help!!!
Answer:
204.5 m
Explanation:
a = v \ t
t = v \ a
t = 31 \ 4.7 = 6.6s
v = d \ t
d = v * t
d = 31 * 6.6
d= 204.5 meters
The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to: O donate Hydrogen ions O complete their nucleus O donate Hydroxyl ions O complete their outer electron orbital area (shell)
The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to complete their outer electron orbital area (shell).
When both the cases are fulfilled i.e. when the enthalpy change is negative and the entropy change is positive, the reaction is said to be spontaneous and thus enthalpy and entropy are the two thermodynamic driving forces of chemical reactions.
Formation of a solid (precipitate)The creation of water.Electron transfer.Gas formationThere are several factors that affects the driving force:
1. Release of heat (exothermic reactions are driven)
2. Free energy – the change in free energy should be negative
3. Entropy – An increase in entropy drives a reaction
4. Equilibrium Shift - Removal of products drives the reaction
The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to complete their outer electron orbital area (shell).
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