An amount of heat is added to a monatomic ideal gas in a process in which the gas performs work `Q/2` on its surrounding. Find the molar heat capacity for the process.

Explanation

To find the molar heat capacity for the process where an amount of heat \( Q \) is added to a monatomic ideal gas that performs work \( \frac{Q}{2} \) on its surroundings, we can follow these steps:

### Step 1: Apply the First Law of Thermodynamics
The first law of thermodynamics states:
\[ \Delta Q = \Delta U + \Delta W \]
Where:
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