A mass of gas has a volume of 4m3, a temperature of 290k, and an absolute pressure of 475 kpa. When the gas is I love to expand to 6.5 M3 it's new temperature is 277K what's the absolute pressure of the gas after expansion?

Given:

V1 = 4m3

T1 = 290k

P1 = 475 kpa = 475000 Pa

V2 = 6.5m3

T2 = 277K

Required:

P

Solution:

n = PV/RT

n = (475000 Pa) (4m3) / (8.314 Pa-m3/mol-K) (290k)

n = 788 moles

P = nRT/V

P = (788 moles) (8.314 Pa-m3/mol-K) (277K) / (6.5m3)

P = 279,204 Pa or 279 kPa