A) remain unchanged
B) be doubled
C) increase four fold
D) be halved
E) be reduced to one-fourth
Correct Answer: C
Solution :
For a gas, \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\](where\[{{T}_{2}}=2{{T}_{1}},{{P}_{2}}=\frac{1}{2},{{P}_{1}},{{V}_{2}}=?\]) \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{1}{2}\frac{{{P}_{1}}\times {{V}_{2}}}{2{{T}_{1}}}\] \[{{V}_{1}}=\frac{{{V}_{2}}}{4}\] \[\therefore \] \[{{V}_{2}}=4{{V}_{1}}\]
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