A cylinder of fixed capacity 44.8 litre contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by `15.0^(@) C ? [R = 8.31 J mol^(-1) K(-1)]`

Explanation

To solve the problem of finding the amount of heat needed to raise the temperature of helium gas in a cylinder by 15.0 °C, we will follow these steps:

### Step 1: Determine the number of moles of helium gas in the cylinder.
Given that the volume of the cylinder is 44.8 liters and at standard temperature and pressure (STP), 1 mole of gas occupies 22.4 liters, we can calculate the number of moles (N) as follows:

\[ N = \frac{\text{Volume of gas}}{\text{Volume per mole at STP}} = \frac{44.8 \text{ L}}{22.4 \text{ L/mol}} = 2 \text{ moles} \]
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