Calculate the value of mechanical equivalent of heat from the following data. Specific heat capacity 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 will follow these steps:

### Step 1: Understand the Given Data
- Specific heat capacity of air at constant volume, \( C_v = 170 \, \text{cal kg}^{-1} \text{K}^{-1} \)
- Ratio of specific heats, \( \gamma = \frac{C_p}{C_v} = 1.4 \)
- Density of air at STP, \( \rho = 1.29 \, \text{kg m}^{-3} \)
- Gas constant, \( R = 8.3 \, \text{J K}^{-1} \text{mol}^{-1} \)

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