A) \[700{{m}^{3}}\]
B) \[900{{m}^{3}}\]
C) \[1000\,{{m}^{3}}\]
D) \[500{{m}^{3}}\]
Correct Answer: B
Solution :
Using standard gas equation \[\frac{{{p}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{p}_{2}}{{V}_{2}}}{{{V}_{2}}}\] \[\Rightarrow \] \[{{V}_{2}}=\frac{{{p}_{1}}{{V}_{1}}{{T}_{2}}}{{{p}_{2}}{{T}_{1}}}\] \[{{V}_{2}}=\frac{1\times 500\times (273-3)}{0.5\times (273+27)}\] \[{{V}_{2}}=\frac{1\times 500\times 273}{0.5\times 300}\] \[\Rightarrow \]\[{{V}_{2}}=900\,{{m}^{2}}\]
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