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A large cylindrical tank contains 0.720 m3 of nitrogen gas at 27.0 ∘C and 8350 Pa...

A large cylindrical tank contains 0.720 m3 of nitrogen gas at 27.0 ∘C and 8350 Pa (absolute pressure). The tank has a tight-fitting piston that allows the volume to be changed.What will be the pressure if the volume is decreased to 0.460 m3 and the temperature is increased to 155 ∘C? My answers have been coming up wrong so I need help with this one

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Answer #1

Given,

V1 = 0.72 m3 ; T1 = 27 Deg C = 300 K ; P1 = 8350 Pa

V2 = 0.46 m3 ; T1 = 155 Deg C = 428 K ; P2 = ?

We know that,

P1V1/T1 = P2V2/T2

P2 = P1V1T2 / V2T1

P2 = 8350 x 0.72 x 428 / 0.46 x 300 = 18646 Pa

Hence, P2 = 18646 Pa.

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