Show that the velocity of sound in a gas, for which `gamma=1.41,` is 0.68c, where c is the root-mean-square velocity of the molecules.

Explanation

To show that the velocity of sound in a gas for which \( \gamma = 1.41 \) is \( 0.68c \), where \( c \) is the root-mean-square velocity of the molecules, we can follow these steps:

### Step 1: Understand the formula for the velocity of sound in a gas
The velocity of sound \( v \) in a gas can be expressed using the formula:
\[ v = \sqrt{\frac{\gamma P}{\rho}} \]
where:
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