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Asked by jhajuhi19 | 20 Nov, 2019, 06:56: AM
Expert Answer
Let us pressure P as a quadratic function of volume V :- P = a V2 + b V + c ..................(1)
we need to find the coefficients a, b and c
at point-A, Po = Vo2 a + Vo b+ c .....................(2)
at point-B, 1.5Po = 4Vo2 a+ 2Vo b+ c .....................(3)
at point-C, Po = 9Vo2 a + 3Vo b+ c .....................(4)
By solving eqns.(2), (3) and (4) , we get , a = - 0.5 ( Po / Vo2 ) , b = 2 ( Po / Vo ) and c = -0.5 Po
Hence eqn.(1) is rewritten as :- (P/Po) = -0.5 (V/Vo)2 + 2 ( V/Vo ) -0.5 ...................(5)
Workdone W is given by,
W = (8/3) Po Vo
Answered by Thiyagarajan K | 20 Nov, 2019, 01:23: PM
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