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  • The molecules of a given mass a gas have a root mean square speeds of 100 ms-1 at 27°C and 1.00 atmospheric pressure.

The molecules of a given mass a gas have a root mean square speeds of 100 ms-1 at 27^{\circ}C and 1.00 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at 127^{\circ}C and 2.0 atmospheric pressure?

Answers (1)

V_{1} rms = 100m/s, T_{1}= 300K, T_{2} = 400K, V_{2} rms =?

We know that,

V_{rms}=\sqrt{\frac{3RT}{m}}

V_{rms}\propto \sqrt{T}

Hence,

\frac{V_{1}rms}{V_{2}rms}=\sqrt{\frac{T_{1}}{T_{2}}}

\frac{100}{V_{2}rms}=\sqrt{\frac{300}{400}}

V_{2}rms = 115.4 \frac{m}{s}

Posted by

infoexpert24

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