A tank of volume `0.2 m^3` contains helium gas at a temperature of `300 K` and pressure `1.0 xx 10^5 N m^(-2)`. Find the amount of heat required to raise the temperature to `400 K`. The molar heat capacity of helium at constant volume is `3.0 cal K^(-1 ) mol^(-1)`. Neglect any expansion in the volume of tank.

Explanation

To solve the problem of finding the amount of heat required to raise the temperature of helium gas in a tank from 300 K to 400 K, we will follow these steps:

### Step 1: Identify the Given Values
- Volume of the tank, \( V = 0.2 \, m^3 \)
- Initial temperature, \( T_1 = 300 \, K \)
- Final temperature, \( T_2 = 400 \, K \)
- Initial pressure, \( P_1 = 1.0 \times 10^5 \, N/m^2 \)
- Molar heat capacity at constant volume, \( C_V = 3.0 \, cal/(K \cdot mol) \)
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