How much heat energy should be added to the gaseous mixture consisting of 1 g of hydrogen and 1g of helium to raise it s temperature from `0^(@)C` to `100^(@)C`
(a) at constant volume,
b. at constant pressure `(R = 2 cal//mol K)`?

Explanation

To solve the problem of how much heat energy should be added to a gaseous mixture consisting of 1 g of hydrogen and 1 g of helium to raise its temperature from \(0^\circ C\) to \(100^\circ C\), we will calculate the heat energy required at constant volume and at constant pressure.

### Step 1: Calculate the number of moles of hydrogen and helium.
- **Hydrogen (H₂)**: The molar mass of hydrogen is approximately 2 g/mol.
\[ n_{H_2} = \frac{1 \text{ g}}{2 \text{ g/mol}} = 0.5 \text{ moles} \]

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