Calculate the value of mechanical equivalent of heat from the following data. Specific heat capcity of air at constant volume =`170 cal kg^(-1) K^(-1) , gamma = C_p/ C_v = 1.4` and the density of air at STP is `1.29 kg m^(-3)`. Gas constant`R = 8.3 JK^(-1) mol^(-1)`.

Explanation

To calculate the mechanical equivalent of heat from the given data, we can follow these steps:

### Step 1: Calculate the mass of one mole of air
Given:
- Density of air, \( \rho = 1.29 \, \text{kg/m}^3 \)
- Volume of one mole of gas at STP, \( V = 0.0224 \, \text{m}^3 \)

Using the formula for mass:
...