For a gas containing `10^(23)` molecules (each having mass `10^(-22)g`) in a volume of `1 dm^(3)`, calculate the total kinetic energy of molecules if their root mean square speed is `10^(5)cm s^(-1)`. What will be its temperature?

Explanation

To solve the problem step by step, we will calculate the total kinetic energy of the gas molecules and then determine the temperature based on the given parameters.

### Step 1: Calculate the total mass of the gas
The total mass of the gas can be calculated using the formula:
\[ \text{Total mass} = \text{Number of molecules} \times \text{Mass of each molecule} \]

Given:
- Number of molecules = \( 10^{23} \)
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