A) \[12.42\times {{10}^{21}}\,J,\ 968\,m/s\]
B) \[8.78\times {{10}^{21}}J,\ 684\,m/s\]
C) \[6.21\times {{10}^{21}}\,J,\,968\,m/s\]
D) \[12.42\times {{10}^{21}}\,J,\ 684\,m/s\]
Correct Answer: D
Solution :
| [d] We know that average translational \[K.E.\] of a molecules \[=\frac{3}{2}kT\] At\[300K,\] average \[K.E.=6.21\times {{10}^{-21}}J\] |
| At\[600K,\] average \[K.E=2\times (6.21\times {{10}^{-21}})\] |
| \[=12.42\times {{10}^{-21}}J\] |
| We know that \[{{v}_{rms}}=\sqrt{\frac{3kT}{m}}\] |
| At \[300K,\]\[{{v}_{rms}}=484\,m/s\] |
| At \[600K,\]\[{{{v}'}_{rms}}=\sqrt{2}\times 484=684m/s\] |
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