A sample of air weighing `1.18 g` occupies `1.0 xx 10^(3) cm^(3)` when kept at `300 K and 1.0 xx 10^(5)` pa. When `2.0 cal` of heat is added to it constant volume, its temperature increases by `1^@C`. Calculate the amount if heat needed to increases the temperature of air by `1^@C` at constant pressure if the mechanical equivalent of heat si `4.2 xx 10^(-1)` . Assume that air behaves as an ideal gas.

Explanation

To solve the problem step by step, we will follow the outlined approach:

### Step 1: Calculate the number of moles of air (n)
Given:
- Mass of air (m) = 1.18 g
- Volume (V) = 1.0 x 10^3 cm³ = 1.0 x 10^-3 m³ (since 1 cm³ = 10^-6 m³)
- Temperature (T) = 300 K
- Pressure (P) = 1.0 x 10^5 Pa
...