Two moles of an ideal gas at 2 atm and `25^@C` are compressed isothermally to one third of its volume by an external pressure of 6 atm. Calculate q, w and `DeltaU`.

Explanation

To solve the problem, we need to calculate the values of \( q \), \( w \), and \( \Delta U \) for the given isothermal compression of an ideal gas. Here are the steps to arrive at the solution:

### Step 1: Convert Temperature to Kelvin
The temperature given is \( 25^\circ C \). To convert this to Kelvin:
\[ T(K) = 25 + 273.15 = 298.15 \, K \]

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