A) \[-\,\,123{}^\circ C\]
B) \[54{}^\circ C\]
C) \[327{}^\circ C\]
D) \[600{}^\circ C\]
Correct Answer: C
Solution :
\[{{V}_{1}}=0.1\,{{m}^{3}},\] \[{{p}_{1}}=1\,bar,\] \[{{T}_{1}}\,\,=27\,\,+\,\,273\,\,=\,\,300\,\,K,\] \[{{V}_{2}}=0.04\,\,{{m}^{3}},\] \[{{p}_{2}}=5\,bar\] \[\frac{{{p}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{p}_{2}}{{V}_{2}}}{{{T}_{2}}}\] \[{{T}_{2}}={{T}_{1}}\,\frac{{{p}_{2}}}{{{p}_{1}}}\times \frac{{{V}_{2}}}{{{V}_{1}}}=300\times \frac{5}{1}\times \frac{0.04}{0.1}=600\,\,K\] \[or\,\,{{t}_{1}}\,\,600-273=327{}^\circ C\]
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