Internal energy of $$n1$$ moles of hydrogen of temperature T is equal to the internal energy of $$n2$$ mole of helium at temperature $$2T$$.Then the ratio $$n1n2$$ is

Question

Internal energy of $$n1$$ moles of hydrogen of temperature T is equal to the internal energy of $$n2$$ mole of helium at temperature $$2T$$.Then the ratio $$n1n2$$ is

Infinity Learn · Accepted Answer

Internal energy of a n moles of an ideal gas at temperature T is given by  U $$=$$ $$f2nRT$$ [f $$=$$ degress of freedom]$$U1$$ $$=$$ $$U2f1n1T1$$ $$=$$ $$f2n2T2$$∴ $$n1n2$$ $$=$$ $$f2T2f1T1$$ $$=$$ $$3$$×$$25$$×$$1$$ $$=$$ $$65Here$$, $$f2$$ $$=$$ degrees of freedom of He $$=$$ $$3$$ and $$f1$$ $$=$$ degrees of freedome of $$H2$$ $$=$$ $$5$$

Internal energy of $n_{1}$ moles of hydrogen of temperature T is equal to the internal energy of $n_{2}$ mole of helium at temperature 2T.Then the ratio $\frac{n_{1}}{n_{2}}$ is

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Internal energy of n1 moles of hydrogen of temperature T is equal to the internal energy of n2 mole of helium at temperature 2T.Then the ratio n1n2 is

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Internal energy of $n_{1}$ moles of hydrogen of temperature T is equal to the internal energy of $n_{2}$ mole of helium at temperature 2T.Then the ratio $\frac{n_{1}}{n_{2}}$ is