Find the molecular weight for a gas in which the velocity of sound is `1260(m)/(s)` at `0^@C` and whose `gamma` is 1.4.

Explanation

To find the molecular weight of a gas given the velocity of sound, we can use the relationship between the velocity of sound, the specific heat ratio (gamma), and the molecular weight. Here’s a step-by-step solution:

### Step 1: Write down the formula for the velocity of sound
The velocity of sound \( V \) in a gas can be expressed as:
\[ V = \sqrt{\frac{\gamma \cdot P}{\rho}} \]
where \( \gamma \) is the specific heat ratio, \( P \) is the pressure, and \( \rho \) is the density of the gas.
...