(B) The change in internal energy $\Delta U$ for an ideal gas is given by the formula: $\Delta U = n C_V \Delta T$.Here,$n = 2 \text{ moles}$,$C_V = 4

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(B) The change in internal energy $\Delta U$ for an ideal gas is given by the formula: $\Delta U = n C_V \Delta T$.Here,$n = 2 \text{ moles}$,$C_V = 4.96 \text{ cal/mole K}$,and $\Delta T = T_2 - T_1 = 342 \text{ K} - 340 \text{ K} = 2 \text{ K}$.Substituting these values into the formula:$\Delta U = 2 \times 4.96 \times 2 = 19.84 \text{ cal}$.Thus,the increase in internal energy is $19.84 \text{ cal}$.

Class 11 Physics Thermodynamics Mix Examples-Thermodynamics

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If ${C_V} = 4.96 \text{ cal/mole K}$,then the increase in internal energy when the temperature of $2 \text{ moles}$ of this gas is increased from $340 \text{ K}$ to $342 \text{ K}$ is ....... $\text{cal}$.

A
$27.80$
B
$19.84$
C
$13.90$
D
$9.92$

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If ${C_V} = 4.96 \text{ cal/mole K}$,then the increase in internal energy when the temperature of $2 \text{ moles}$ of this gas is increased from $340 \text{ K}$ to $342 \text{ K}$ is ....... $\text{cal}$.

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