question_answer

A system changes from the state \[({{P}_{1}},\text{ }{{V}_{1}})\] to \[({{P}_{2}},\text{ }{{V}_{2}})\] as shown in the figure. What is the work done by the system?       

A) \[7.5\times {{10}^{5}}joule~\]

B) \[7.5\times {{10}^{5}}erg\]

C) \[12\times {{10}^{5}}joule\]

D) \[6\times {{10}^{5}}joule\]

Correct Answer: C

Solution :

[c] \[~W={{W}_{1}}+{{W}_{2}}\] \[-{{p}_{0}}(\gamma -1)+\alpha (\gamma -1)\,V={{p}_{0}}-2\alpha V\] \[=12\times {{10}^{5}}\text{joule}\]