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Question: The root mean square velocity of the molecules in a sample of helium is 5/7<sup>th</sup> that of the...

The root mean square velocity of the molecules in a sample of helium is 5/7th that of the molecules in a sample of hydrogen. If the temperature of the hydrogen sample is 0ŗC, that of helium samples is about:

A

00C

B

0 K

C

2730C

D

1000C

Answer

00C

Explanation

Solution

vHev_{H_{e}} = 57vH2\frac{5}{7}v_{H_{2}}

3RT4=573R×2732\sqrt{\frac{3RT}{4}} = \frac{5}{7}\sqrt{\frac{3R \times 273}{2}}