Partial pressure of H₂ in the vessel is 189 torr.
According to Dalton's law of partial pressures, the total pressure a gas mixture exerts is equal to the sum of the partial pressures of its individual constituent gases. The partial pressure is the pressure that each gas would have if it occupied the same volume of the mixture at the same temperature on its own.
According to Dalton's law of partial pressures,
[tex]P_{Total} = P_{A} +P_{B} + P_{C}[/tex]
[tex]P_A},P_{B} ,P_{C}[/tex] are partial pressures of A,B,C
And [tex]P_{A} =P_{Total} .X_{A}[/tex]
[tex]X_{A}= mole refraction of A.[/tex]
Also [tex]X_{A} +X_{B} +X_{C} =1[/tex]
Here, 2 gases, H₂ and He
and [tex]X_{He}[/tex]=0.75
[tex]X_{He}+X_{H_{2} }[/tex] = 1
[tex]X_{H_{2} } = 1- X_{He} \\[/tex]
[tex]X_{H_{2} }[/tex]=1 - 0.75
[tex]X_{H_{2} }[/tex]=0.25
Then, [tex]P_{H_{2} } = P_{Total} .X_{H_{2} }[/tex]
[tex]P_{H_{2} }[/tex]= 756×0.25
[tex]P_{H_{2} }[/tex]= 189 torr.
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