A gas expands from `3 dm^(3)` to `5dm^(3)` against a constant pressure of `3atm`. The work done during the expansion if used to heat `10mol` of water at temperature `290K`. Find the final temperature of water, if the specific heat of water `= 4.18g^(-1)K^(-1)`.

Explanation

To solve the problem step by step, we will first calculate the work done during the expansion of the gas and then use that work to find the final temperature of the water.

### Step 1: Calculate the Work Done by the Gas
The work done (W) during the expansion of a gas at constant pressure can be calculated using the formula:
\[ W = P \Delta V \]
where:
- \( P \) is the pressure in pascals (Pa),
- \( \Delta V \) is the change in volume in cubic meters (m³).
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