The difference between the two specific heat capacities (at constant pressure and volume) of a gas is `5000 J` `kg^(-1)` `K^(-1)` and the ratio of these specific heat capacities, i.e., `C_(V)` and `C_(P)` is 1.6. Then `C_(V)` and `C_(P)`

Explanation

To solve the problem step by step, we will use the given information about the specific heat capacities at constant pressure (C_P) and constant volume (C_V) of a gas.

### Step 1: Write down the equations based on the problem statement.
We are given two key pieces of information:
1. The difference between the specific heat capacities:
\[ C_P - C_V = 5000 \, \text{J kg}^{-1} \text{K}^{-1} \quad \text{(Equation 1)} \]
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