Find the temperature at which speed of sound in nitrogen is equal to speed of sound in chlorine at `20^(@)C`. The densities of nitrogen and chlorine are in ratio 14 : 35.

Explanation

To find the temperature at which the speed of sound in nitrogen is equal to the speed of sound in chlorine at 20°C, we can follow these steps:

### Step 1: Write the formula for the speed of sound
The speed of sound in a gas is given by the formula:
\[ V = \sqrt{\frac{\gamma RT}{M}} \]
where:
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