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Question

(B) The change in internal energy $\Delta U$ for an ideal gas at constant volume is given by the formula: $\Delta U = n C_V \Delta T$.For an ideal gas

Vedclass · Accepted Answer

$300$

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(B) The change in internal energy $\Delta U$ for an ideal gas at constant volume is given by the formula: $\Delta U = n C_V \Delta T$.For an ideal gas,the relationship between molar heat capacities is $C_P - C_V = R$,which implies $C_V = C_P - R$.Given: $n = 5 \ mol$,$C_P = 8 \ cal/mol \cdot K$,$R = 2 \ cal/mol \cdot K$,and $\Delta T = 20^{\circ}C - 10^{\circ}C = 10 \ K$.Calculating $C_V$: $C_V = 8 - 2 = 6 \ cal/mol \cdot K$.Now,substituting the values into the formula: $\Delta U = 5 	imes 6 	imes 10 = 300 \ cal$.

When $5 \ mol$ of oxygen gas is heated at constant volume from $10^{\circ}C$ to $20^{\circ}C$,the change in internal energy is ........ $cal$. (Given: $C_P = 8 \ cal/mol \cdot K$,$R = 2 \ cal/mol \cdot K$)

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