A) \[52.2\times {{10}^{-21}}\text{J}\]
B) \[5.22\times {{10}^{-21}}\text{J}\]
C) \[10.42\times {{10}^{-21}}\text{J}\]
D) \[11.35\times {{10}^{-21}}\text{J}\]
Correct Answer: C
Solution :
According to kinetic molecular theory of gases, kinetic energy of gas is directly proportional to its absolute temperature. \[\therefore \] \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\] \[\frac{6.25\times {{10}^{-21}}}{{{E}_{2}}}=\frac{27+273}{227+273}\] \[\frac{6.25\times {{10}^{-21}}}{{{E}_{2}}}=\frac{300}{500}\] \[{{E}_{2}}=\frac{5}{3}\times 6.25\times {{10}^{-21}}\] \[=10.42\times {{10}^{-21}}J\]
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