A vessel containing one of mole of a monatomic ideal gas (molecular weight = `20 g/(mol)`) is moving on a floor at a speed of `50 m s^(-1)` The vessel is stopped suddenly. Assuming that the mechanical energy lost has gone into the internal energy of the gas , find the rise in its temperature .

Explanation

To solve the problem step by step, we will follow the principles of energy conservation and the specific heat capacity of gases.

### Step 1: Calculate the initial kinetic energy of the gas
The kinetic energy (KE) of the vessel containing the gas can be calculated using the formula:
\[ KE = \frac{1}{2} mv^2 \]
where \(m\) is the mass of the gas and \(v\) is its velocity.
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