Question 1

A tire has a gauge pressure 300kPa at 15S1U1P1$\circ$S1S1P0C.What is the gauge pressure at 45S1U1P1$\circ$S1S1P0C? Assume that the change in volume of the tire is negligible.

Accepted Answer

A) 330 kPa 
B) 340 kPa 
C) 440 kPa 
D) 900 kPa 
E) 1100 kPa 
A) 330 kPa 
B) 340 kPa 
C) 440 kPa 
D) 900 kPa 
E) 1100 kPa

Question 2

A gas fills a rigid box at one atmosphere and 21S1U1P1$\circ$S1S1P0C.If we increase the temperature to 50S1U1P1$\circ$S1S1P0C,what is the pressure of the gas in the box?

Accepted Answer

A) 1.67 atm 
B) 2.42 atm 
C) 3.35 atm 
D) 1.10 atm 
E) 2.72 atm 
A) 1.67 atm 
B) 2.42 atm 
C) 3.35 atm 
D) 1.10 atm 
E) 2.72 atm

Question 3

For an ideal gas,the temperature measured in Kelvin is proportional to

Accepted Answer

A) the average speed of the ideal gas molecules. 
B) the root-mean-squared speed of the ideal gas molecules. 
C) the average kinetic energy of the ideal gas molecules. 
D) None are correct. 
A) the average speed of the ideal gas molecules. 
B) the root-mean-squared speed of the ideal gas molecules. 
C) the average kinetic energy of the ideal gas molecules. 
D) None are correct.

Question 4

A cylinder with a piston contains 2.00 liters of an ideal monatomic gas at 1.00 atm and 275 K.The gas is subject to an adiabatic compression from its initial volume to 1/4 its initial volume.What is the pressure after the compression?

Accepted Answer

A) 6.96 atm 
B) 10.1 atm 
C) 2.52 atm 
D) 1.74 atm 
A) 6.96 atm 
B) 10.1 atm 
C) 2.52 atm 
D) 1.74 atm

Question 5

Find the rms speed of water molecules (m =2.99 * 10-26 kg)inside your body if the water molecules can be treated as an ideal gas.Body temperature is 98.6S1U1P1$\circ$S1S1P0F or 37.0S1U1P1$\circ$S1S1P0C.

Accepted Answer

A) 130 m/s 
B) 226 m/s 
C) 378 m/s 
D) 534 m/s 
E) 655 m/s 
A) 130 m/s 
B) 226 m/s 
C) 378 m/s 
D) 534 m/s 
E) 655 m/s

Question 6

A gas fills a rigid box at one atmosphere and 21S1U1P1$\circ$S1S1P0C.If we increase the pressure to 1.4 atmospheres,what is the temperature of the gas in the box?

Accepted Answer

A) 100S1U1P1$\circ$S1S1P0C 
B) 140S1U1P1$\circ$S1S1P0C 
C) 150S1U1P1$\circ$S1S1P0C 
D) 50S1U1P1$\circ$S1S1P0C 
E) 130S1U1P1$\circ$S1S1P0C 
A) 100S1U1P1$\circ$S1S1P0C 
B) 140S1U1P1$\circ$S1S1P0C 
C) 150S1U1P1$\circ$S1S1P0C 
D) 50S1U1P1$\circ$S1S1P0C 
E) 130S1U1P1$\circ$S1S1P0C

Question 7

A diesel engine compresses the air adiabatically.If the engine compresses the air in it to a temperature of of 420S1U1P1$\circ$S1S1P0C and the compressed air if the air enters the engine at 22S1U1P1$\circ$S1S1P0C,find the pressure of the air when it reaches 420S1U1P1$\circ$S1S1P0C .You may assume that air behaves as an ideal gas during this process.

Accepted Answer

A) 2.4 atm 
B) 3.0 atm 
C) 17 atm 
D) 18 atm 
E) 19 atm 
A) 2.4 atm 
B) 3.0 atm 
C) 17 atm 
D) 18 atm 
E) 19 atm

Question 8

One mole of a diatomic gas has an initial temperature of 293 K.Its internal energy is increased by 85.0 J.What is the final temperature of the diatomic gas?

Accepted Answer

A) 293 K 
B) 294 K 
C) 295 K 
D) 296 K 
E) 297 K 
A) 293 K 
B) 294 K 
C) 295 K 
D) 296 K 
E) 297 K

Question 9

Which of the following gases have the highest average velocity?

Accepted Answer

A) diatomic oxygen at 21S1U1P1$\circ$S1S1P0C 
B) diatomic nitrogen at 60S1U1P1$\circ$S1S1P0C 
C) neon at 21S1U1P1$\circ$S1S1P0C 
D) argon at 30S1U1P1$\circ$S1S1P0C 
E) carbon dioxide at 50S1U1P1$\circ$S1S1P0C 
A) diatomic oxygen at 21S1U1P1$\circ$S1S1P0C 
B) diatomic nitrogen at 60S1U1P1$\circ$S1S1P0C 
C) neon at 21S1U1P1$\circ$S1S1P0C 
D) argon at 30S1U1P1$\circ$S1S1P0C 
E) carbon dioxide at 50S1U1P1$\circ$S1S1P0C

Question 10

Find the most probable speed of water molecules (m =2.99 * 10-26 kg)inside your body if the water molecules can be treated as an ideal gas.Body temperature is 98.6S1U1P1$\circ$S1S1P0F or 37.0S1U1P1$\circ$S1S1P0C.

Accepted Answer

A) 130 m/s 
B) 226 m/s 
C) 378 m/s 
D) 534 m/s 
E) 655 m/s 
A) 130 m/s 
B) 226 m/s 
C) 378 m/s 
D) 534 m/s 
E) 655 m/s

Question 11

The temperature of a room at 10S1U1P1$\circ$S1S1P0C is raised to 30S1U1P1$\circ$S1S1P0C.What is the percent increase in the average speed of the molecules?

Accepted Answer

A) 7.1 % 
B) 2.3 % 
C) 3.4 % 
D) 10 % 
E) 1.5 % 
A) 7.1 % 
B) 2.3 % 
C) 3.4 % 
D) 10 % 
E) 1.5 %

Question 12

15.0 liters of an ideal monatomic gas at a pressure of 100 * 103 Pa is expanded adiabatically (no heat transfer)until the volume is tripled.If the initial temperature of the gas was 100 K,what was it final temperature after the expansion?

Accepted Answer

A) 48.1 K 
B) 75.6 K 
C) 101 K 
D) 157 K 
E) 208 K 
A) 48.1 K 
B) 75.6 K 
C) 101 K 
D) 157 K 
E) 208 K

Question 13

Which of the following statements is true about the average speed of an oxygen molecule,O2,and that of a N2 molecule in a gas at fixed temperature and pressure? MO =16,MN =14

Accepted Answer

A) The average speed of the O2 molecule is higher. 
B) At the same temperature,the average speed of the two molecules is the same. 
C) The average speed of the N2 molecule must be lower. 
D) The ratio of the average speed of the O2 molecule to that of the N2 molecule must be (32/28)1/2. 
E) The ratio of the average speed of the O2 molecule to that of the N2 molecule must be (28/32)1/2. 
A) The average speed of the O2 molecule is higher. 
B) At the same temperature,the average speed of the two molecules is the same. 
C) The average speed of the N2 molecule must be lower. 
D) The ratio of the average speed of the O2 molecule to that of the N2 molecule must be (32/28)1/2. 
E) The ratio of the average speed of the O2 molecule to that of the N2 molecule must be (28/32)1/2.

Question 14

Two containers contain the same gas at different temperatures and pressures as detailed in the drawing.The small container has a volume of 1 liter and the large container has a volume of 2 liters.The two containers are then connected to each other using a thin tube and the system is allowed to reach equal pressure and temperature in both containers.If the final temperature is 300 K,what is the final pressure? You may assume that the connecting tube has negligible volume and mass.

Accepted Answer

A) 400 kPa 
B) 250 kPa 
C) 200 kPa 
D) 300 kPa 
A) 400 kPa 
B) 250 kPa 
C) 200 kPa 
D) 300 kPa

Question 15

An ideal gas is initially at a temperature of 300 K.Its volume triples while its pressure decreases by a factor of two.What is its final temperature?

Accepted Answer

A) 50.0 K 
B) 200 K 
C) 450 K 
D) 1800 K 
A) 50.0 K 
B) 200 K 
C) 450 K 
D) 1800 K

Question 16

The temperature of a room at 21S1U1P1$\circ$S1S1P0C is raised such that the average speed of the molecules increases by 10%.What is the new temperature of the room?

Accepted Answer

A) 51S1U1P1$\circ$S1S1P0C 
B) 25S1U1P1$\circ$S1S1P0C 
C) 63S1U1P1$\circ$S1S1P0C 
D) 83S1U1P1$\circ$S1S1P0C 
E) 42S1U1P1$\circ$S1S1P0C 
A) 51S1U1P1$\circ$S1S1P0C 
B) 25S1U1P1$\circ$S1S1P0C 
C) 63S1U1P1$\circ$S1S1P0C 
D) 83S1U1P1$\circ$S1S1P0C 
E) 42S1U1P1$\circ$S1S1P0C

Question 17

Two moles of an ideal gas are held at a constant volume of 3 liters.The change in pressure if the temperature increases by 150S1U1P1$\circ$S1S1P0C is

Accepted Answer

A) 1 atm. 
B) 2 atm. 
C) 4 atm. 
D) 6 atm. 
E) 8 atm. 
A) 1 atm. 
B) 2 atm. 
C) 4 atm. 
D) 6 atm. 
E) 8 atm.

Question 18

A diesel engine compresses the air adiabatically.If the engine compresses the air in it to 18 atmospheres find the temperature of the compressed air if the air enters the engine at 22S1U1P1$\circ$S1S1P0C.You may assume that air behaves as an ideal gas during this process.

Accepted Answer

A) 400S1U1P1$\circ$S1S1P0C 
B) 410S1U1P1$\circ$S1S1P0C 
C) 5000S1U1P1$\circ$S1S1P0C 
D) 5300S1U1P1$\circ$S1S1P0C 
E) 5600S1U1P1$\circ$S1S1P0C 
A) 400S1U1P1$\circ$S1S1P0C 
B) 410S1U1P1$\circ$S1S1P0C 
C) 5000S1U1P1$\circ$S1S1P0C 
D) 5300S1U1P1$\circ$S1S1P0C 
E) 5600S1U1P1$\circ$S1S1P0C

Question 19

At standard atmospheric pressure,at what temperature is the rms speed of Krypton atoms (83.8g/mol)equal to the speed of a cruising 747 (555 mph)?

Accepted Answer

A) 103 K 
B) 207 K 
C) 310 K 
D) 1040 K 
A) 103 K 
B) 207 K 
C) 310 K 
D) 1040 K

Question 20

1.5 liters of nitrogen at 112S1U1P1$\circ$S1S1P0C and 2.8 atmospheres contain how many moles?

Accepted Answer

A) 0.13 
B) 2.8 
C) 4.5 
D) 22.4 
E) 314 
A) 0.13 
B) 2.8 
C) 4.5 
D) 22.4 
E) 314

Exam 19: Ideal Gases

A tire has a gauge pressure 300kPa at 15 ∘\circ∘ C.What is the gauge pressure at 45 ∘\circ∘ C? Assume that the change in volume of the tire is negligible.

A gas fills a rigid box at one atmosphere and 21 ∘\circ∘ C.If we increase the temperature to 50 ∘\circ∘ C,what is the pressure of the gas in the box?

For an ideal gas,the temperature measured in Kelvin is proportional to

A cylinder with a piston contains 2.00 liters of an ideal monatomic gas at 1.00 atm and 275 K.The gas is subject to an adiabatic compression from its initial volume to 1/4 its initial volume.What is the pressure after the compression?

Find the rms speed of water molecules (m =2.99 * 10-26 kg)inside your body if the water molecules can be treated as an ideal gas.Body temperature is 98.6 ∘\circ∘ F or 37.0 ∘\circ∘ C.

A gas fills a rigid box at one atmosphere and 21 ∘\circ∘ C.If we increase the pressure to 1.4 atmospheres,what is the temperature of the gas in the box?

One mole of a diatomic gas has an initial temperature of 293 K.Its internal energy is increased by 85.0 J.What is the final temperature of the diatomic gas?

Which of the following gases have the highest average velocity?

Find the most probable speed of water molecules (m =2.99 * 10-26 kg)inside your body if the water molecules can be treated as an ideal gas.Body temperature is 98.6 ∘\circ∘ F or 37.0 ∘\circ∘ C.

The temperature of a room at 10 ∘\circ∘ C is raised to 30 ∘\circ∘ C.What is the percent increase in the average speed of the molecules?

15.0 liters of an ideal monatomic gas at a pressure of 100 * 103 Pa is expanded adiabatically (no heat transfer)until the volume is tripled.If the initial temperature of the gas was 100 K,what was it final temperature after the expansion?

Which of the following statements is true about the average speed of an oxygen molecule,O2,and that of a N2 molecule in a gas at fixed temperature and pressure? MO =16,MN =14

An ideal gas is initially at a temperature of 300 K.Its volume triples while its pressure decreases by a factor of two.What is its final temperature?

The temperature of a room at 21 ∘\circ∘ C is raised such that the average speed of the molecules increases by 10%.What is the new temperature of the room?

Two moles of an ideal gas are held at a constant volume of 3 liters.The change in pressure if the temperature increases by 150 ∘\circ∘ C is

A diesel engine compresses the air adiabatically.If the engine compresses the air in it to 18 atmospheres find the temperature of the compressed air if the air enters the engine at 22 ∘\circ∘ C.You may assume that air behaves as an ideal gas during this process.

At standard atmospheric pressure,at what temperature is the rms speed of Krypton atoms (83.8g/mol)equal to the speed of a cruising 747 (555 mph)?

1.5 liters of nitrogen at 112 ∘\circ∘ C and 2.8 atmospheres contain how many moles?

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Filters

A tire has a gauge pressure 300kPa at 15^$\circ$C.What is the gauge pressure at 45^$\circ$C? Assume that the change in volume of the tire is negligible.

A gas fills a rigid box at one atmosphere and 21^$\circ$C.If we increase the temperature to 50^$\circ$C,what is the pressure of the gas in the box?

Find the rms speed of water molecules (m =2.99 * 10^-26 kg)inside your body if the water molecules can be treated as an ideal gas.Body temperature is 98.6^$\circ$F or 37.0^$\circ$C.

A gas fills a rigid box at one atmosphere and 21^$\circ$C.If we increase the pressure to 1.4 atmospheres,what is the temperature of the gas in the box?

Find the most probable speed of water molecules (m =2.99 * 10^-26 kg)inside your body if the water molecules can be treated as an ideal gas.Body temperature is 98.6^$\circ$F or 37.0^$\circ$C.

The temperature of a room at 10^$\circ$C is raised to 30^$\circ$C.What is the percent increase in the average speed of the molecules?

15.0 liters of an ideal monatomic gas at a pressure of 100 * 10³ Pa is expanded adiabatically (no heat transfer)until the volume is tripled.If the initial temperature of the gas was 100 K,what was it final temperature after the expansion?

Which of the following statements is true about the average speed of an oxygen molecule,O₂,and that of a N₂ molecule in a gas at fixed temperature and pressure? M_O =16,M_N =14

The temperature of a room at 21^$\circ$C is raised such that the average speed of the molecules increases by 10%.What is the new temperature of the room?

Two moles of an ideal gas are held at a constant volume of 3 liters.The change in pressure if the temperature increases by 150^$\circ$C is

A diesel engine compresses the air adiabatically.If the engine compresses the air in it to 18 atmospheres find the temperature of the compressed air if the air enters the engine at 22^$\circ$C.You may assume that air behaves as an ideal gas during this process.

1.5 liters of nitrogen at 112^$\circ$C and 2.8 atmospheres contain how many moles?