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Question

The root mean square speed of hydrogen molecule of an ideal hydrogen gas kept in a gas chamber at 0C is 3180 metre/ second. The pressure on the hydrogen gas is: (density of hydrogen gas is 8.99×102kg/m3,1 atm=1.01×105N/m2).
  1. 1.0 atmosphere
  2. 1.5 atmosphere
  3. 2.0 atmosphere
  4. 3.0 atmosphere

A
2.0 atmosphere
B
3.0 atmosphere
C
1.5 atmosphere
D
1.0 atmosphere
Solution
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The root mean square speed (u) of hydrogen molecule is related to its pressure (P) and density (d) by the following expression.
u=3Pd
3180m/s=3P8.99×102kg/m3

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