Question 19: Thermodynamics & KTG

Question

A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of gas is increased by $50 \%$ introducing more gas in the vessel at the same temperature. Now the resultant pressure of the gas is

Accepted Answer

According to kinetic theory of gases
$$ p V=\frac{1}{3} M V_{\mathrm{rms}}^2 $$
at constant temperature $V_{	ext {rms }}^2$ is constant, as $V$ is also constant, so $p \propto M$
When the mass of gas increases by $50 \%$ pressure also increases by 50\%.
So, final pressure $=76+\frac{50}{100} 	imes 76=114 \mathrm{~cm}$ of Hg .

Answer

76 cm of Hg

Answer

114 cm of Hg

Answer

86 cm of Hg

Answer

92 cm of Hg

Thermodynamics & KTG

A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of gas is increased by 50 \% introducing more gas in the vessel at the same temperature. Now the resultant pressure of the gas is

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