The velocity of sound in hydrogen at `0^@C" is 1.28kms"^(-1)`. Calculate the velocity of sound in a mixture of 4 parts by volume of hydrogen and one part of oxygen at the same temperature?

Explanation

To calculate the velocity of sound in a mixture of 4 parts by volume of hydrogen and 1 part of oxygen at 0°C, we can follow these steps:

### Step 1: Identify the given data
- Velocity of sound in hydrogen, \( V_H = 1.28 \, \text{km/s} = 1280 \, \text{m/s} \)
- Volume ratio of hydrogen to oxygen = 4:1

### Step 2: Define the densities
- Let the density of hydrogen be \( \rho_H = \rho \).
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