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Question

Gas molecules each of mass 1026kg are taken in a container of volume 1 dm3. The root mean square speed of gas molecules is 1 km sec1. What is the temperature of gas molecules.
(Given : NA=6×1023; R=8 J/mol.K)

A
298 K
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B
25 K
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C
250 K
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D
2500 K
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Solution

The correct option is D 250 K
Man of each gas molecule =1026kg.
volume of cowaiver =1 dm3
Root mean square speed Urm=3 RTM
1|cm|5=3 RTM=3 kTm
1000=3×8×T6×1023×1026
1000×1000=4.T103
4.T=1000
T=250 K

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