Espresso is a coffee beverage made by forcing steam through finely ground coffee beans. Modern espresso makers generate steam at very high pressures and temperatures, but in this problem we'll consider a low-tech espresso machine that only generates steam at 100 Celcius and atomospheric pressure--not much good for making your favorite coffee beverage.
The amount of heat Q needed to turn a mass, m, of room temperature ( T_1) water into steam at 100 Celcius. ( T_2) can be found using the specific heat, c, of water and the heat of vaporization, H_v, of water at 1 atmosphere of pressure.
Suppose that a commercial espresso machine in a coffee shop turns 1.50 kg of water at 22.0 Celcius into steam at 100 Celcius. If c = 4187 J/(kg * C) and H_v=2,258 kJ/kg, how much heat Q is absorbed by the water from the heating resistor inside the machine?