In a process, temperature of 1 mole of an ideal monoatomic gas is related to volume is TV = constant. In this process heat given to the gas is (Temperature difference is 50^oC) R is universal gas constant

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25R

20R

50R

75R

answer is B.

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Detailed Solution

$VT = K, V (\frac{PV}{R}) = K$ or PV² = constant
For a polytropic process $C = \frac{R}{1 - x} + C_{v} = \frac{R}{1 - 2} + \frac{3 R}{2} = \frac{R}{2}$
$∴ ΔQ = nCΔT = \frac{1}{2} RΔT$

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