A vessel of capacity `400 cm^(3)` contains hydrogen gas at 1 atm pressure at `7^(@)C`. In order to expel `28.57 cm^(3)` of the gas at the same pressure, to what temperature the vessel should be heated ?

Explanation

To solve the problem step by step, we will use Charles's Law, which states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature (in Kelvin).

### Step 1: Identify the given values
- Volume of the gas in the vessel, \( V_1 = 400 \, \text{cm}^3 \)
- Initial temperature, \( T_1 = 7^\circ C \)
- Pressure, \( P = 1 \, \text{atm} \) (constant)
- Volume of gas to be expelled, \( V_{\text{expelled}} = 28.57 \, \text{cm}^3 \)

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