A) \[{{600}^{o}}C\]
B) \[327\,\,K\]
C) \[{{327}^{o}}C\]
D) \[{{273}^{o}}C\]
Correct Answer: C
Solution :
Key Idea: Since pressure is constant, gas obeys Charle's law. From Charle's law \[\frac{V}{T}=\]constant where \[V\] is volume, \[T\] the temperature. \[\therefore \] \[\frac{{{V}_{2}}}{{{V}_{1}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\] Given\[{{T}_{1}}={{27}^{o}}C=300\,\,K,\,\,{{V}_{2}}=2{{V}_{1}}\] \[\therefore \] \[2\times 300={{T}_{2}}\] \[\Rightarrow \] \[{{T}_{2}}=600\,\,K\] In centigrade\[{{T}_{2}}=600-273={{327}^{o}}C\].
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