Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Kinetic Theory of Gases
0 votes

A gas with $\large\frac {C_p}{C_v} = \gamma$ goes from an initial state of $(P_1,V_1,T_1)$ to a final state of $(P_2,V_2,T_2)$ through an adiabatic process. The work done by the gas is?

$(A) \; \large\frac{nR (T_1-T_2)}{\gamma-1}$ $(B) \; \gamma \large\frac{(P_1V_1+P_2V_2) (T_1-T_2)}{\gamma-1}$ $(C) \; \gamma \large\frac{(P_1V_1+P_2V_2)}{\gamma-1}$ $(D) \; \large\frac{n\gamma R (T_1-T_2)}{\gamma-1}$
Can you answer this question?

1 Answer

0 votes
$\Delta Q = \Delta u + \Delta w$
$\Delta Q = 0$ for an adiabatic process.
So, $\Delta w = - \Delta u = - \large\frac{nfR(T_2-T_1)}{2}$$= \large\frac{nR}{\gamma-1}$${T_1-T_2}$ (Substituting $\;f = \large\frac{2}{\gamma-1}$)
answered Jan 22, 2014 by balaji.thirumalai
edited Aug 9, 2014 by balaji.thirumalai

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App