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5.8     What will be the pressure of the gaseous mixture when 0.5\: L of H_{2} at 0.8 bar and 2.0\: L of dioxygen at 0.7 bar are introduced in a 1L vessel at 27^{o}C ?

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Pressure of the gas mixture will be the sum of partial pressure of H_{2} gas and partial pressure of O_{2} gas.

So, calculating the partial pressures of each gas.

 Partial pressure of H_{2} in a 1L volume vessel.

P_{1} = 0.8\ barP_{2},\ V_{1} = 0.5L,\ V_{2} =1L

As the temperature remains constant, P_{1}V_{1} =P_{2}V_{2}

\implies (0.8\ bar)(0.5L) = P_{2}(1L)

or P_{2} = 0.4\ bar    or   P_{H_{2}} = 0.4\ bar

Now, calculating the partial pressure of O_{2} gas in 1L vessel.

P'_{1}V_{1} = P'_{2} V'_{2}

\implies (0.7\ bar)(2L) = P_{2}(1L)

\implies P'_{2} = 1.4\ bar  or  P_{O_{2}} = 1.4\ bar

Therefore the total pressure  = P_{H_{2}} +P_{O_{2}} = 0.4\ bar+1.4\ bar = 1.8\ bar

Posted by

Divya Prakash Singh

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