7 mole of a certain monoatomic ideal gas unde | vedclass

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Question

(B) For any ideal gas,the change in internal energy $\Delta U$ depends only on the change in temperature $\Delta T$ and is given by the formula:$\Delt

Vedclass · Accepted Answer

$3486$

Vedclass · Answer

(B) For any ideal gas,the change in internal energy $\Delta U$ depends only on the change in temperature $\Delta T$ and is given by the formula:$\Delta U = n C_V \Delta T$For a monoatomic ideal gas,the molar heat capacity at constant volume is $C_V = \frac{3}{2} R$.Given values are:$n = 7 	ext{ mol}$$\Delta T = 40 K$$R = 8.3 J K^{-1} mol^{-1}$Substituting these values into the formula:$\Delta U = 7 	imes \left( \frac{3}{2} 	imes 8.3 ight) 	imes 40$$\Delta U = 7 	imes 3 	imes 8.3 	imes 20$$\Delta U = 21 	imes 166 = 3486 J$Thus,the increase in internal energy is $3486 J$.

$7$ mole of a certain monoatomic ideal gas undergoes a temperature increase of $40 K$ at constant pressure. The increase in the internal energy of the gas in this process is $.... J$ (Given $R = 8.3 J K^{-1} mol^{-1}$)

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