Question

Helium gas at 20 °C is confined within a rigid vessel. The gas is then heated until its pressure is doubled. What is the final temperature of the gas?

Answer 1

To find the final temperature of the gas, we can use the combined gas law equation: P1V1/T1 = P2V2/T2. Assuming the initial volume and pressure of the helium gas remains constant, we can rearrange the equation to solve for the final temperature.

Step-by-step explanation:

To find the final temperature of the gas, we can use the combined gas law equation:

P1V1/T1 = P2V2/T2

Assuming the initial volume and pressure of the helium gas remains constant, we can rearrange the equation to solve for the final temperature:

T2 = (P2 * T1 * V1) / (P1 * V2)

Since the pressure is doubled and the initial temperature is 20 °C, we plug in the values:

T2 = (2 * 293 K * V1) / (1 * V2)

This equation allows us to find the final temperature of the gas after doubling its pressure.

Answer 2

586 K

Step-by-step explanation:

Let P is the initial pressure.

Initial temperature, T₁ = 20°C = 293 K

Final pressure, P₂ = 2P

We need to find the final temperature of the gas.

The relation between the pressure and the temperature is as follows

`P\propto T\\\\or\\\\(P_1)/(P_2)=(T_1)/(T_2)`

Put all the values,

`(P)/(2P)=(293)/(T_2)\\\\(1)/(2)=(293)/(T_2)\\\\T_2=2* 293\\\\T_2=586\ K`

So, the final temperature of the gas is 586 K.