Express your answer with the appropriate units.

Question

A sample of a gas is in a sealed container. The pressure of the gas is 605 torr , and the temperature is 15 ∘C . If the temperature changes to 67 ∘C with no change in volume or amount of gas, what is the new pressure, P2, of the gas inside the container?

Using the same sample of gas (P1 = 605 torr , T1 = 15 ∘C ), we wish to change the pressure to 6050 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure?

Answer 1

Given:

P1 = initial pressure = 605 torr

T1 = initial temperature = 15ºC + 273 = 288K

T2 = final temperature = 67ºC + 273 = 340K

Asked for:

P2 = final pressure = ?

Since n (moles) and V(volume) are constant, we have the following relationship:

P1/T1 = P2/T2

605 torr/288K = P2/340K

P2 = 714 torr

If P2 is 6050 torr with no change in volume of moles of gas, then T2 can be found as follows:

P1 = 605 torr

P2 = 6050 torr

T1 = 288K

T2 = ?

P1/T1 = P2/T2

605/288 = 6050/T2

T2 = 2880K