When 1 mol gas is heated at constant volume, the temperature is raised from 298 to 308 K. Heat supplied to the

Question

When 1 mol gas is heated at constant volume, the temperature is raised from 298 to 308 K. Heat supplied to the gas is 500 J. The correct statement among the following is:

Accepted Answer

1. **Identify Process:** The gas is heated at **constant volume** (isochoric process).
2. **Calculate Work Done (w):** Work done in a thermodynamic process is given by $w = -P_{ext}\Delta V$. Since the volume is constant, the change in volume $\Delta V = 0$. Therefore, work done $w = 0$.
3. **Apply First Law of Thermodynamics:** The law states $\Delta U = q + w$, where $\Delta U$ is the change in internal energy and $q$ is the heat supplied.
4. **Substitute Values:**
   - Heat supplied ($q$) = $+500	ext{ J}$ (positive because heat is absorbed by the system).
   - Work ($w$) = $0$.
   $$ \Delta U = 500	ext{ J} + 0 = 500	ext{ J} $$
5. **Conclusion:** $q = 500	ext{ J}$, $\Delta U = 500	ext{ J}$, and $w = 0$.

Step-by-Step Solution

Practice All CHEMISTRY Questions