Kinetic Theory and Gas Laws

A kinetic theory formula relating the pressure p and the volume V of a gas to the root-mean-square speed of its molecules is p=\frac{1}{3}\ \frac{Nm}{V}  In this formula, what does the product Nm represent?

• the number of molecules in unit volume of the gas

• the total number of molecules in one mole of gas

• the total number of molecules  present in volume V

• the mass of gas present in volume V

• the average of the squares of the speeds of the gas molecules

• the root-mean-square of the gas molecules

• the square of the average speed of the gas molecules

• the sum of the squares of the speeds of the gas molecules

The density of argon at a pressure of 1.00x10⁵Pa and at a temperature of 300 K is 1.60 kg m¯³. What is the root-mean-square speed of argon molecules at this temperature?

• 216 m s¯¹

• 250 m s¯¹

• 306 m s¯¹

• 433 m s¯¹

Tags

NGSS.HS-PS3-2

• x

• 2x

Gas inside a balloon originally had a volume of 3.12 L. Ernesto decides to sit on the balloon and compresses it to a final volume of 0.12 L and a final pressure of 3.14 atm. What was the original pressure?

• 2.29 atm

• 0.12 atm

• 8.28 atm

A gas occupies 4.98 L at 2.6 atm of pressure. What volume does it occupy at 1.8 atm pressure?

• 12.9 L

• 0.72 L

• 7.2 L

• 3.44 L

What is the formula for Boyle's Law?

• P₁V₁=P₂V₂

• P₁V₁/P₂V₂

• P₁V₂=P₂V₁

• P₁/V₁=P₂/V₂

If the temperature of a gas increase, the pressure...

• Decreases

• Increases

• Does not change

Tags

NGSS.MS-PS3-4

When a cold tire is inflated to a certain pressure and then is warmed up due to friction with the road, the pressure increases. This happens because the

• air molecules hit the walls of the tire less frequently

• rubber in the tires reacts with oxygen in the atmosphere

• air molecules speed up and collide with the tire walls more often

• air molecules diffuse rapidly through the walls of the tire.

Tags

NGSS.HS-PS2-1

According to the kinetic theory of gases, gas particles

• Do not always move in straight lines

• Have most their volume occupied by empty space

• Attract each other

• Do not always move randomly