Answer
$$417 \space J$$
Work Step by Step
Molar mass of water $(H_2O)$ = $(16.00 + 1.01 * 2) \space g/mol = 18.02 \space g/mol$
$\Delta T = 10.0 \space ^oC = 10.0 \space K$*
* Only for temperature differences $(\Delta T)$
- Rearranging to do a dimensional analysis:
$$10.0 \space g \times \frac{1 \space mol}{18.02 \space g} \times 10.0 \space K \times \frac{75.2 \space J}{\space K \space mol} = 417 \space J$$
