If `C_(P_` and `C_(v)` denote the specific heats nitrogen per unite mass at constant pressure and constant volume respectively, then
(1) `C_(P)-C_(v)=(R)/(28)` (2) `C_(P)-C_(v)=(R)/(14)`
(3) `C_(P)-C_(v)=R` (4) `C_(P)-C_(v)=28R`

Explanation

To solve the question regarding the specific heats of nitrogen at constant pressure (C_P) and constant volume (C_V), we can follow these steps:

### Step 1: Understand the relationship between C_P and C_V
The relationship between the specific heats at constant pressure and constant volume for an ideal gas is given by the equation:
\[ C_P - C_V = R \]
where \( R \) is the universal gas constant.

### Step 2: Convert specific heats from per mole to per unit mass
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