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1 litre of gas at STP is expanded adibatically to 3 litre.Find work done by gas. gaama=1.4&3power1.4=4.65

1 litre of gas at STP is expanded adibatically to 3 litre.Find work done by gas.gaama=1.4&3power1.4=4.65

Grade:12

1 Answers

Arun
25750 Points
3 years ago
V1​=1l⇒ initial volume, V1​=1×10−3m3
V2​=3l⇒ final volume, V2​=3×10−3m3
At STP:
T=273K
P1​=101.325kPa⇒ initial pressure 
Y=1.4
Work done in adiabatic process, ΔW=−(Y−1P2​V2​−P1​V1​​)
adiabatic ⇒PVγ=constant
⇒P1​V1γ​=P2​V2γ​
⇒P2​=P1​(V2​V1​​)γ=1.01325(3×10−31×10−3​)1.4
 
⇒P2​=101.325×(3)1.41​=(4.6555101.325​)kPa
 
P2​=21.7646KPa
 
ΔW=−(1.4−121.7646×103×3×10−3−101.325×103×1×10−3​)
 
ΔW=−(0.465.2937−101.325​)=90.5J
Considering only magnitude, the work done by the air will be 90.5J

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