[JEE Main 10-4-2019 Afternoon]
A) \[{{V}_{mp}}\]of\[{{N}_{2}}(300K);\]\[{{V}_{mp}}\]of\[{{H}_{2}}(300K);\]\[{{V}_{mp}}\]of \[{{O}_{2}}(400K)\]
B) \[{{V}_{mp}}\]of\[{{H}_{2}}(300K);\]\[{{V}_{mp}}\]of\[{{N}_{2}}(300K);\]\[{{V}_{mp}}\]of\[{{O}_{2}}(400K)\]
C) \[{{V}_{mp}}\]of\[{{O}_{2}}(400K);\]\[{{V}_{mp}}\]of\[{{N}_{2}}(300K);\]\[{{V}_{mp}}\]of\[{{H}_{2}}(300K)\]
D) \[{{N}_{2}}(300K);\]\[{{V}_{mp}}\]of\[{{O}_{2}}(400K);\]\[{{V}_{mp}}\]of\[{{H}_{2}}(300K)\]
Correct Answer: B
Solution :
\[{{V}_{mp}}=\sqrt{\frac{2RT}{M}}\Rightarrow {{V}_{mp}}\propto \sqrt{\frac{T}{M}}\] For\[{{N}_{2}},{{O}_{2}},{{H}_{2}}\] \[\sqrt{\frac{300}{28}}<\sqrt{\frac{400}{32}}<\sqrt{\frac{300}{2}}\] \[{{V}_{mp}}\]of\[{{N}_{2}}(300K)<{{V}_{mp}}\]of\[{{O}_{2}}(400K)<{{V}_{mp}}\]of\[{{H}_{2}}(300K)\]
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