Question

A gas occupies a 1.0 l rigid container at 300.0 k and 500.0 torr. What final temperature in °C would be required to increase the pressure to 1.00 atm?

Answer 1

To increase the pressure to 1.00 atm in a rigid container filled with gas at 300.0 K and 500.0 torr, the final temperature required is 600.0 K.

Step-by-step explanation:

To solve this problem, we can use the ideal gas law equation:

P1V1/T1 = P2V2/T2

We are given:

• P1 = 500.0 torr
• V1 = 1.0 L
• T1 = 300.0 K
• P2 = 1.00 atm
• V2 = 1.0 L (since the container is rigid)

Substituting these values into the equation, we have:

(500.0 torr)(1.0 L)/(300.0 K) = (1.00 atm)(1.0 L)/T2

Solving for T2, we get:

T2 = (1.00 atm)(1.0 L)(300.0 K)/(500.0 torr) = 600.0 K

Therefore, the final temperature required to increase the pressure to 1.00 atm is 600.0 K.