Water is heated in an open pan where the air pressure is $10^5\,\text{Pa}$. The water remains a liquid, which expands by a small amount as it is heated. Determine the ratio of the heat absorbed by the water to the work done by the water. ($\gamma$ for water $= 10^{-3}/\degree\text{C}$, $S = 1\,\text{cal/g}\degree\text{C}$)