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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]

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