Determine the boundary work done by a gas during an expansion process if the pressure and volume values at various states are measured to be

Question

Determine the boundary work done by a gas during an expansion process if the pressure and volume values at various states are measured to be 300 kPa, 1 L; 290 kPa, 1.1 L; 270 kPa, 1.2 L; 250 kPa, 1.4 L; 220 kPa, 1.7 L; and 200 kPa, 2 L.

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Trúc Chi 3 weeks 2021-08-26T18:25:38+00:00 1 Answers 0 views 0

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    2021-08-26T18:26:42+00:00

    Answer:

    W=0.217kJ

    Explanation:

    #Boundary Work is energy expended when a force acts through a displacement

    The boundary of work can be calculated as the area under the P-V curve for all the 4 stages measured:

    W= \sum_{n=1}^{5} \frac{P_{n+1}+P_{n+2}+P_{n+3}+P_{n+4}+P_{n+5}}{2}\\\\=0.5((290+300)(1.1-1)+(270+290)(1.2-1.1)+(250+270)(1.4-1.3)+(220+250)(1.7-1.4)+(200+220)(2-1.7))\times 10^-^3kJ\\\\=0.217kJ

    Hence the boundary of work done by a gas during this 4-stage process is 0.217kJ

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