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 Charles law. From Charles law \[\frac{V}{T}=\text{constant}\] where V is volume, T the temperature. \[\therefore \] \[\frac{{{V}_{2}}}{{{V}_{1}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\] Given \[{{T}_{1}}=27{{\,}^{o}}C=300,\,{{V}_{2}}=2{{V}_{1}}\,\] \[\therefore \] \[2\times 300={{T}_{2}}\] \[\Rightarrow \] \[{{T}_{2}}=600\,K\] In centigrade \[{{T}_{2}}=600-273=327{{\,}^{o}}C.\]You need to login to perform this action.
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