Question

H2 gas kept in vessel at 27 c is heated so that root mean square speed of its molecule increases by 41.1% the final temp of the gas is

Answer 1

Answer:

The final temperature of the gas is 324.27 °C .

Explanation:

The root mean square of the hydrogen gas when temperature was 27°C

T = 27°C = 300 K

$u_{rms}=\sqrt{\frac{3RT}{M}}$

The root means square of the hydrogen gas at temperature T'.

300 K <T'

$u'_{rms}=u_{rms}+41.1\%of u_{rms}$

$u'_{rms}=\sqrt{\frac{3RT'}{M}}$

$\sqrt{\frac{3RT'}{M}}=\sqrt{\frac{3RT}{M}}+0.411\times \sqrt{\frac{3R\times 300}{M}}$

T'= 597.27 K =324.27 °C

The final temperature of the gas is 324.27 °C .