Five moles of helium are mixed with two moles | vedclass

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(D) The internal energy of a gas is an extensive property,meaning it depends on the total amount of matter present.When two non-reacting gases are mix

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$300$

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(D) The internal energy of a gas is an extensive property,meaning it depends on the total amount of matter present.When two non-reacting gases are mixed,the total internal energy of the resulting mixture is the sum of the internal energies of the individual components.Given:Internal energy of $He$ sample $(U_{He})$ = $100\ J$Internal energy of $H_2$ sample $(U_{H_2})$ = $200\ J$Since the gases do not interact chemically,the total internal energy of the mixture $(U_{mix})$ is:$U_{mix} = U_{He} + U_{H_2}$$U_{mix} = 100\ J + 200\ J = 300\ J$

Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$. If the internal energy of the $He$ sample is $100\ J$ and that of the hydrogen sample is $200\ J$,then the internal energy of the mixture is ..... $J$.

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