Question

The volume of 400 mL of chlorine gas at 400 mm Hg is decreased to 200 mL at constant temperature. What is the new gas pressure?

400 mm Hg

650 mm Hg

300 mm Hg

800 mm Hg

The collision of gas molecules with the walls of its container produces ____________.

temperature

density

volume

pressure

Answer 1

Option 4 - 800 mm Hg

option 4 - Pressure

Explanation:

Given : The volume of 400 mL of chlorine gas at 400 mm Hg is decreased to 200 mL at constant temperature.

To find : What is the new gas pressure?

Solution :

Applying Boyle's law, which states that at constant mass and temperature, the volume of a gas is inversely proportional to the pressure.

The formula is given by,
`P_1V_1=P_2V_2`

Where,
`V_1=400ml`

`P_1=400mm Hg`

`V_2=200ml`

Substitute the value in the formula,

`400* 400=P_2* 200`

`P_2=(400* 400)/(200)`

`P_2=800mmHg`

So, The new gas pressure is 800 mm Hg.

Therefore, option 4 is correct.

We know that, The collision of gas molecules with the walls of its container

produces pressure.

Therefore, Option 4 is correct.

Answer 2

A. Let us first assume that the gas acts like an ideal gas so that we can use the ideal gas equation:

PV = nRT

where P is pressure, V is volume, n is number of moles, R is universal gas constant and T is absolute temperature

In this case, let us assume that nRT = constant so that:

P1V1 = P2V2

400 mm Hg * 400 mL = P2 * 200 mL

P2 = 800 mm Hg

B. The collision of gas with the walls of the container produces Pressure.