Question

A sample of an ideal gas has a volume of 2.24 L at 287 K and 1.12 atm. Calculate the pressure when the volume is 1.76 L and the temperature is 308 K.

Answer 1

From the ideal gas equation

PV = n RT

Pressure P = 1.12 atm,

Volume V = 2.24 L

Temperature T = 287 K

Gas constant R = 0.0821 L.atm/ mole.K

Plug all the values in the above equation, we will get no. of moles of the gas

PV = nRT

n = PV/RT = 1.12 atm x 2.24 L / 0.0821 L.atm/ mole.K x 287 K = 0.1065 moles

Case-2:

Volume V = 1.76 L

Temperature T = 308 K

From the above equation PV = nRT

Pressure P = nRT/V = 0.1065 moles x 0.0821 L.atm/ mole.K x 308 K / 1.76 L

                  = 1.53 atm