Question

The heat capacity at constant volume of a sample of a monoatomic gas is $31.867J/K$. Find the internal energy at ${300}^{\circ }C$.

• A. $8.88kJ$
• B. $9.56kJ$
• C. $3.56kJ$
• D. $8.96kJ$

Answer 1

The correct option is B $9.56kJ$

At constant volume, work done is zero. Hence, the heat supplied in a process is equal to the internal energy.

Thus, $Q=\Delta U=C_V\Delta T$

Thus, $U=C_{V}T$

$U=31.867\times 300=9.56kJ$