Question

thermodynamics problem

show equations and steps clearly

A person's kitchen takes up 27 cubic meters of space. While the apartment at 20°C, 1 atmosphere of

pressure, and 50% relative humidity, the person fills a pot on the stove with 0.5 liters of water that is initially at 20°C. The pot is accidently filled with more water than needed, and the boiling pot is forgoten about on the stove. The person turns off the pot on the stove before the pan catches on fire, but unforunately all of the water has boiled out of the pot.

During the heating process, the stove gives off 5 kW of heat and, after accounting for losses, only

65% of which is captured by the water in the pot.

Assume the kitchen is adiabatic and that the pot itself has a negligible mass and heat capacity.

a- How long does it take for the water to completely boil in seconds?

b- What is the final temperature of the room in °C? (please specify a 10°C range that the temperature is believed to be in (i.e., the room is 20-30°C).)

c- Does the person see any condensation on their walls and Why?

Answer 1