To calculate the amount of heat that must be absorbed by the water, we can use the specific heat capacity of water and the formula:
Q = m * c * deltaT
where Q is the amount of heat absorbed by the water, m is the mass of the water, c is the specific heat capacity of water, and deltaT is the change in temperature.
The specific heat capacity of water is 4.184 J/g°C.
First, we need to calculate the change in temperature of the water. We know that the water needs to be heated to the boiling point, which is 100°C at standard pressure. Therefore, deltaT = 100°C - 20.0°C = 80.0°C.
Next, we can plug in the values we know:
Q = m * c * deltaT
Q = 680 g * 4.184 J/g°C * 80.0°C
Q = 227,584.0 J
Therefore, the amount of heat that must be absorbed by the water to make a 4 cup pot of green tea is 227,584.0 J.