Temperature of two moles of an ideal gas is increased by 300K in a process `V=a/T`, where a is positive constant. Find work done by the gas in the given process.

Explanation

To find the work done by the gas during the process where the volume \( V \) is related to the temperature \( T \) by the equation \( V = \frac{a}{T} \), we can follow these steps:

### Step 1: Understand the relationship between \( V \) and \( T \)
Given the equation \( V = \frac{a}{T} \), we can rewrite it in terms of the product \( PV \) using the ideal gas law. The ideal gas law states:
\[ PV = nRT \]
where \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is the temperature.
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