A) \[2\times {{10}^{9}}K\]
B) \[{{10}^{9}}K\]
C) \[6\times {{10}^{9}}K\]
D) \[3\times {{10}^{9}}K\]
E) \[4.5\times {{10}^{9}}K\]
Correct Answer: A
Solution :
Given: \[k=1.38\times {{10}^{-23}}J{{K}^{-1}}\] The energy of proton gas \[=4.14\times {{10}^{-14}}J\] \[\therefore \] \[E=\frac{3}{2}kT\] or \[4.14\times {{10}^{-14}}=\frac{3}{2}\times 1.38\times {{10}^{-23}}\times T\] \[T=2\times {{10}^{9}}K\]
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