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Question
The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square speed of gas molecules is V, then at 480, it will be ______.
Options
4V
2V
`"V"/2`
`"V"/4`
MCQ
Fill in the Blanks
Solution
The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square speed of gas molecules is V, then at 480, it will be 2V.
Explanation:
`"V"_("rms"_1)/("V"_("rms"_2)) = sqrt("T"_1/"T"_2) = sqrt(120/480) = 1/2`
V = `1/2 "V"_2` = 2V
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RMS Speed of Gas Molecules
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