The degree of freedom per molecule for a gas is `6`. At constant pressure work done by gas is `25J`. The heat supplied to the gas for this purpose is `25x` joule them `x` is:

Explanation

To solve the problem step by step, we will use the concepts of thermodynamics, particularly focusing on the relationship between heat, work, and internal energy.

### Step 1: Understanding Degrees of Freedom
The degree of freedom per molecule for a gas is given as 6. For a monatomic gas, the degrees of freedom can be related to the internal energy (U) using the formula:
\[ U = \frac{f}{2} nRT \]
where \( f \) is the degree of freedom, \( n \) is the number of moles, \( R \) is the universal gas constant, and \( T \) is the temperature.
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