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P-V graph for an ideal gas undergoing polytropic process `PV^(m) = constant` is shown here. Find the value of m. A. `3/4`B. `-3/2`C. `5/3`D. `3/2`

Answer» Correct Answer - D
`PV^(m) = const`.
`implies V^(m) dP + mv^(m-1) Pd v=0`
`implies (dP)/(dV) = -(mP)/(V) = tan(180 - 37^@)`
`=3/4 = m(2xx10^5)/(4xx10^5) implies m = 3/2`.


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