$2\mathrm{.}49$ Consider the process of boiling water to make pasta. A particular cylindrical pasta pot has a diameter of $24$ cm and is initially filled to a depth of $10$ cm with water at $20$ oC$.$ The water is brought to a boil, and just before adding pasta, the water level in the pot has decreased to $9\mathrm{.}5$ cm because some of the water has left as steam. Using data from the steam tables $($App$.$ E$),$ estimate the following:

a$)$ The initial mass of water in the pot.

b$)$ The mass of water remaining in the pot just before pasta is added and the mass lost as vapor.

c$)$ The total change in enthalpy of the water from the initial state to the final state. For simplicity, consider the water lost as vapor to be at $100$ oC$.$

d$)$ The total amount of heat transferred to the water