Question

A given volume of gas at NTP is allowed to expand 6 times of its original volume, first under isothermal condition and then under adiabatic condition. Which of the given statement is correct? [Given \(\frac{c_p}{c_v} = \gamma = 1.4\)]

• A. The final pressure after the adiabatic expansion is 1.4 times greater than the final pressure after the isothermal expansion.
• B. The final temperature after the adiabatic expansion is 1.4 times less than the final temperature after the isothermal expansion.
• C. Pressure remains same in both adiabatic and isothermal expansion
• D. The final pressure after the adiabatic expansion is less than the final pressure after the isothermal expansion.

Hint:

Adiabatic expansion causes temperature drop, hence pressure falls more rapidly than in isothermal expansion.

Answer 1

The Correct Option is D