A gas expands from a volume of $3\: dm^3$ against a constant external pressure of $3\: atm$. to a volume of $5\: dm^3$. The work of expansion is used to heat $10\: ml$ of water at $290\: K$. Calculate the final temperature of the water.

Question

$\begin {array} {1 1} (A)\;289.193 \: K & \quad (B)\;-289.193 \: K \\ (C)\;290.807\: K & \quad (D)\;-290.807 \: K \end {array}$