COMEDK · Physics · 13. Thermodynamics
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 \(\dfrac{C_p}{C_v}=\gamma=1.4\) ]
- A The final pressure after the adiabatic expansion is less than the final pressure after the isothermal expansion.
- B Pressure remains same in both adiabatic and isothermal expansion
- C The final temperature after the adiabatic expansion is 1.4 times less than the final temperature after the isothermal expansion.
- D The final pressure after the adiabatic expansion is 1.4 times greater than the final pressure after the isothermal expansion.
Answer & Solution
Correct Answer
(A) The final pressure after the adiabatic expansion is less than the final pressure after the isothermal expansion.
Step-by-step Solution
Detailed explanation
Let the initial pressure be \(P_0\), initial volume be \(V_0\), and initial temperature be \(T_0\). The gas expands to a final volume \(V_f = 6V_0\). For isothermal expansion, the final pressure \(P_{iso}\) is given by \(P_0 V_0 = P_{iso} (6V_0)\), which gives…
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