To calculate the heat change involved in heating 2,000 g of water from 20°C to 99.7°C, we can use the formula:
Q = mcΔT
Where Q is the heat change in joules (J), m is the mass of the water in grams (g), c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the change in temperature in °C.
First, we need to calculate the change in temperature:
ΔT = final temperature - initial temperature
ΔT = 99.7°C - 20°C
ΔT = 79.7°C
Now we can use the formula to calculate the heat change:
Q = mcΔT
Q = (2000 g) x (4.184 J/g°C) x (79.7°C)
Q = 666,268.8 J
Therefore, the heat change involved in heating 2,000 g of water from 20°C to 99.7°C is approximately 666,268.8 J.