JEE Main 2016 · 3 Apr · Shift 1 · Physics Q8

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PhysicsSingle correct+4 / -1Question 8 of 90

An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by $PV^n$ = constant, then n is given by (Here $C_P$ and $C_V$ are molar specific heat at constant pressure and constant volume, respectively) :

n=\dfrac{C_P}{C_V}

n=\dfrac{C-C_P}{C-C_V}

n=\dfrac{C_P-C}{C-C_V}

n=\dfrac{C-C_V}{C-C_P}

Answer and worked solution

Official answer: B

For a polytropic process $C=C_V+\dfrac R{1-n}$ . With $R=C_P-C_V$ , $1-n=\dfrac{C_P-C_V}{C-C_V}$ , so
$n=\frac{C-C_P}{C-C_V}.$

Topics:Thermodynamic processes Specific heats of gases

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JEE Main 2016 · 3 Apr · Shift 1, Physics question 8