`5 g` of He at `27^(@)C` is subjected to a pressure change from `0.5 atm` to `2 atm`. The initial volume of the gas is `10 dm^(3)`. Calculate the change in volume of the gas.

Explanation

To solve the problem, we will use the ideal gas law and the relationship between the initial and final states of the gas. Here are the steps to calculate the change in volume of the gas:

### Step 1: Identify the given values
- Mass of helium (He) = 5 g
- Initial pressure (P1) = 0.5 atm
- Final pressure (P2) = 2 atm
- Initial volume (V1) = 10 dm³ (which is equivalent to 10 L)
- Temperature (T) = 27°C = 300 K (since T(K) = T(°C) + 273)
...