One mole of an ideal mono-atomic gas ( ) is initially at and

PHYSICS · Subjective · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

One mole of an ideal mono-atomic gas (γ=5/3\gamma=5/3) is initially at T1=300 KT_1=300\,\text{K} and V1=0.010 m3V_1=0.010\,\text{m}^3. The gas is taken to a final volume V3=0.020 m3V_3=0.020\,\text{m}^3 by two different paths: Path A: Direct isothermal expansion from V1V_1 to V3V_3. Path B: Isothermal expansion from V1V_1 to an intermediate volume V2=0.015 m3V_2=0.015\,\text{m}^3, followed by adiabatic expansion from V2V_2 to V3V_3. (i) Calculate the work done by the gas along Path A. (ii) Calculate the total work done by the gas along Path B. (iii) Which path requires a greater heat input? Give one reason.

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