A) Greater than the final pressure of B
B) Equal to the final pressure of B
C) Less than the final pressure of B
D) Twice the final pressure of B
Correct Answer: C
Solution :
A is compressed isothermally, hence \[{{P}_{1}}V={{P}_{2}}\frac{V}{2}\Rightarrow {{P}_{2}}=2{{P}_{1}}\] and B is compressed adiabatically, hence \[{{P}_{1}}{{V}^{\gamma }}={{P}_{2}}\,{{\left( \frac{V}{2} \right)}^{\gamma }}\Rightarrow {{P}_{2}}={{(2)}^{\gamma }}{{P}_{1}}\] Since \[\gamma >1\], hence \[{{P}_{2}}'>{{P}_{2}}\]or \[{{P}_{2}}<{{{P}'}_{2}}\]
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