Question

A sample of Nitrogen gas occupies a volume of 230 mL at 735 torr pressure. What volume will it occupy at 820 Torr? (Answer if 3 significant figures)

Answer 1

The equation that we use in this calculation is ideal gas law PV=nRT, R = Gas constant, P = pressure, V = Volume, n = no. moles, T = Temperature

Rearranging, PV = nRT

At constant temperature, nRT can be kept constant and two states can be related by

P1V1 = nRT = P2V2

i.e. P1V1 = P2V2 which is also known as Boyle's Law,

P1 = 735 torr

V1 = 230 mL

P2 = 820 Torr

V2 = P1V1/P2 = 735 x 230 / 820 = 206.1585 mL = 206 mL (3 significant figure)

Volume N2 Gas occupy = 206 mL