Calculate the ratio `(C_p / C_v)` of oxygen from the following data . Speed of sound in oxygen`(= 32g mol^(-1))` and the gas constant `(R = 8.3 J K ^(-1) mol^(-1))`.

Explanation

To calculate the ratio \( \frac{C_p}{C_v} \) (also known as the adiabatic exponent \( \gamma \)) for oxygen, we can use the relationship between the speed of sound in a gas, the gas constant \( R \), the molar mass \( M \), and the temperature \( T \). Here’s the step-by-step solution:

### Step 1: Understand the relationship
The speed of sound \( v \) in a gas can be expressed using the formula:
\[ v = \sqrt{\frac{\gamma R T}{M}} \]
where:
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