A metal gas cylinder is filled with compressed helium at a pressure 2.50 atm when the temperature is 37°C. What is the temperature in Celsius degrees when the pressure in the cylinder changes to 1.78 atm?

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve the problem:

(P1V1/T1) = (P2V2/T2)

Since the volume of the cylinder does not change, we can simplify the equation to:

P1/T1 = P2/T2

Plugging in the values, we get:

(2.50 atm)/(37°C + 273.15) = (1.78 atm)/(T2 + 273.15)

Solving for T2, we get:

T2 = -52 °C

Note that the temperature is negative, indicating that the pressure decrease causes a cooling effect on the gas.

A Metal Gas Cylinder Is Filled with Compressed Helium at a Pressure