Amass 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

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