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Question: One mole of ideal gas undergoes cyclic process shown in figure. Process 1®2 is adiabatic. Heat given...

One mole of ideal gas undergoes cyclic process shown in figure. Process 1®2 is adiabatic. Heat given to gas in the process is (nearly) –

A

– 59 J

B

– 47 J

C

– 42 J

D

None of these

Answer

– 47 J

Explanation

Solution

W12 = –nR(T1T2)γ1\frac{nR(T_{1} - T_{2})}{\gamma - 1}= –RT1(10γ1γ1)γ1\frac{RT_{1}(10^{\frac{\gamma - 1}{\gamma}} - 1)}{\gamma - 1}

= – 5600 kJ

W23 = 0

W31 = nRT1 ln (VV/10)\left( \frac{V}{V/10} \right) = RT1 ln 10 = 5552.67 J

\ DQ = Wnet = – 47.33 J