The total internal energy of 4 moles of a dia | vedclass

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(C) The formula for the total internal energy $U$ of an ideal gas is given by $U = n \frac{f}{2} R T$. For a diatomic gas, the degrees of freedom $f =

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$24.93$

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(C) The formula for the total internal energy $U$ of an ideal gas is given by $U = n \frac{f}{2} R T$. For a diatomic gas, the degrees of freedom $f = 5$. Given: number of moles $n = 4$, temperature $T = 27^{\circ} C = 27 + 273 = 300 \ K$, and $R = 8.31 \ J \ mol^{-1} \ K^{-1}$. Substituting these values into the formula: $U = 4 	imes \frac{5}{2} 	imes 8.31 	imes 300$ $U = 2 	imes 5 	imes 8.31 	imes 300$ $U = 10 	imes 2493 = 24930 \ J$ $U = 24.93 \ kJ$.

The total internal energy of $4$ moles of a diatomic gas at a temperature of $27^{\circ} C$ is (Universal gas constant $R = 8.31 \ J \ mol^{-1} \ K^{-1}$) (in $kJ$)

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