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To calculate the amount of heat energy lost, you need to use the specific heat capacity of water vapor. The specific heat capacity of water vapor is approximately 2.03 J/g·°C.
First, calculate the change in temperature (delta T):
delta T = final temperature - initial temperature
delta T = 101°C -150°C
delta T = -49°C
The negative sign indicates a temperature decrease.
Next, calculate the heat energy lost using the formula:
heat = mass * specific heat * delta T
Given:
mass = 45.0 grams
specific heat = 2.03 J/g·°C
delta T = -49°C
heat = 45.0 g * 2.03 J/g·°C * -49°C
Now, simply multiply the values together:
heat = -4452.15 J
The heat energy lost is approximately -4452.15 Joules. The negative sign indicates that heat was lost.