A) \[40{}^\circ C\]
B) \[93{}^\circ C\]
C) \[39{}^\circ C\]
D) Cannot be calculated
Correct Answer: C
Solution :
\[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}\] Given, \[{{v}_{{{O}_{2}}}}={{v}_{{{N}_{2}}}}\] \[\sqrt{\frac{3RT}{{{M}_{{{O}_{2}}}}}}=\sqrt{\frac{3R\times 273}{{{M}_{N}}}}\] \[\therefore \] \[\frac{T}{32}=\frac{273}{28}\] \[T=\frac{8}{7}\times 273=312K\] \[T=312-273={{39}^{o}}C\]
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