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IB DP Physics Questions

3.2 Modelling a Gas

Question 1

A cricket ball of mass 0.15 kg is hit with a force of 30 N for a time interval of 0.1 seconds. What is the change in momentum of the ball?

A. 0.5 kg·m/s

B. 1.5 kg·m/s

C. 3 kg·m/s

D. 30 kg·m/s

Question 2

Two objects of equal mass collide head-on. Before the collision, their velocities were v and -v, respectively. What is their combined momentum after the collision?

A. 0 kg·m/s

B. v kg·m/s

C. -v kg·m/s

D. 2v kg·m/s

Question 3

Which of the following best describes the impulse-momentum theorem?

A. Impulse is equal to the change in kinetic energy.

B. Impulse is equal to the change in momentum.

C. Momentum is always conserved.

D. Impulse is the product of mass and change in velocity.

Question 4

A force of 20 N acts on a 5 kg object for 2 seconds. What is the final velocity if the object was initially at rest?

A. 2 m/s

B. 4 m/s

C. 8 m/s

D. 10 m/s

Question 5

A 1000 kg car moving at 10 m/s collides with a stationary 1500 kg truck. If the car comes to a complete stop after the collision, what is the velocity of the truck?

A. 6.67 m/s

B. 4.44 m/s

C. 2.22 m/s

D. 1.11 m/s

Question 6

a) State Boyle's law and explain its pressure-volume relationship. [3]

b) A sample of gas occupies a volume of 2.0 L at a pressure of 1.0 atm. If the volume is decreased to 1.0 L while keeping the temperature constant, what will be the new pressure of the gas, according to Boyle's law? [2]

Question 7

a) Describe Charles' law and explain its volume-temperature relationship. [3]

b) A gas sample is initially at a temperature of 273 K. If its volume increases from 5.0 L to 7.5 L while keeping the pressure constant, what will be the new temperature of the gas, according to Charles' law? [2]

Question 8

a) Explain the ideal gas law (PV = nRT) and define its terms. [3]

b) A gas sample occupies a volume of 10.0 L at a pressure of 2.0 atm and a temperature of 300 K. Calculate the number of moles of the gas in the sample using the ideal gas law. [2]

Question 9

a) Explain the concept of the Ideal Gas Law (PV = nRT) and define each of its terms. [4]

b) A gas occupies a volume of 4.0 L at a pressure of 2.5 atm and a temperature of 300 K. Calculate the number of moles of the gas in the sample using the Ideal Gas Law. [3]

c) If the volume of the gas is compressed to 2.0 L while keeping the temperature and the number of moles constant, what will be the new pressure of the gas, according to the Ideal Gas Law? [2]

Question 10

a) Define Boyle's law and describe its pressure-volume relationship. [4]

b) A gas initially occupies a volume of 6.0 L at a pressure of 3.0 atm. If the volume is increased to 9.0 L while keeping the temperature constant, calculate the final pressure of the gas using Boyle's law. [3]

c) Explain how the pressure of a gas sample would change if its volume is reduced to half of its initial volume while keeping the temperature constant. [2]

Question 11

Which of the following is NOT true about impulse?

A. It is the change in momentum.

B. It is the product of force and time.

C. It is always conserved.

D. It can change the direction of an object's motion.

Question 12

A force of 5 N acts on an object for 4 seconds. What is the impulse imparted to the object?

A. 5 N·s

B. 10 N·s

C. 20 N·s

D. 40 N·s

Question 13

A bullet of mass 0.01 kg is fired with a velocity of 400 m/s. What is its momentum?

A. 4 kg·m/s

B. 40 kg·m/s

C. 400 kg·m/s

D. 4,000 kg·m/s

Question 14

Which of the following is true about momentum?

A. It is always conserved.

B. It can be created but not destroyed.

C. It is a scalar quantity.

D. It depends only on the velocity of an object.

Question 15

A 2 kg object moving at 3 m/s collides with a 3 kg object moving at -2 m/s. What is their combined momentum after the collision?

A. 0 kg·m/s

B. 1 kg·m/s

C. 6 kg·m/s

D. 12 kg·m/s

Question 16

a) Describe Charles' law and explain its volume-temperature relationship. [4]

b) A gas sample is initially at a temperature of 300 K. If its volume decreases from 8.0 L to 4.0 L while keeping the pressure constant, what will be the new temperature of the gas, according to Charles' law? [3]

c) Explain how the volume of a gas sample would change if its temperature is doubled while keeping the pressure constant. [2]

Question 17

a) Explain the concept of the Ideal Gas Law (PV = nRT) and its significance in understanding the behaviour of gases. [4]

b) A sample of gas occupies a volume of 5.0 L at a pressure of 2.0 atm and a temperature of 300 K. Calculate the number of moles of the gas using the Ideal Gas Law. [3]

c) If the temperature of the gas is increased to 350 K while keeping the pressure and volume constant, how will this change affect the gas's properties according to the Ideal Gas Law? [2]

Question 18

a) Describe Boyle's Law and its relationship between pressure and volume. [3]

b) A gas is initially at a pressure of 3.0 atm and occupies a volume of 4.0 L. According to Boyle's Law, if the pressure is increased to 6.0 atm while keeping the temperature constant, what will be the new volume of the gas? [4]

c) Explain the concept of Charles' Law and how it relates volume to temperature. [3]

d) A gas is initially at a volume of 8.0 L and a temperature of 300 K. According to Charles' Law, if the temperature is increased to 400 K while keeping the pressure constant, what will be the new volume of the gas? [4]

Question 19

a) State the ideal gas law and define each of its variables. [4]

b) A sample of gas has a pressure of 2.0 atm, a volume of 5.0 L, and a temperature of 300 K. Calculate the number of moles of gas in this sample using the ideal gas law. [5]

c) Explain the concept of the molar volume of a gas at standard temperature and pressure (STP). [3]

d) Calculate the molar volume of an ideal gas at STP. [4]

Question 20

a) Define the term "ideal gas" and explain the conditions under which real gases deviate from ideal behaviour. [4]

b) A real gas occupies a volume of 10.0 L, has a pressure of 4.0 atm, and a temperature of 350 K. Calculate the number of moles of the gas using the van der Waals equation. [5]

c) Describe the van der Waals equation and its significance in describing the behaviour of real gases. [3]

d) Explain how intermolecular forces affect the behaviour of gases and why real gases deviate from ideal behaviour. [4]

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