Chemical Thermodynamics Question 411

Question: An ideal gas occuping a volume of $ 2dm^{3} $ and a pressure of 5 bar undergoes isothermal and irreversible expansion against external pressure of 1 bar. The final volume of the system and the work involved in the process is

Options:

A) $ 10dm^{3},1000J $

B) $ 8dm^{3},-800J $

C) $ 10dm^{3},-800J $

D) $ 10dm^{3},-1000J $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ P_1V_1=P_2V_2 $

$ \therefore V=\frac{5bar\times 2dm^{3}}{1bar}=10dm^{3} $ Work, $ W=-P_{ext}(V_{final}-V_{initioal}) $

$ =-1,bar( 10-2 ) $

$ =-1\times 10^{5}Pa\times 8\times {{10}^{-3}}m^{3} $

$ =-800J $



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