As long as it doesn't change form (solid to liquid or liquid to gas), you should be OK finding the temperature difference, and multipying that by the the specific heat and the mass of the water vapor.
Make sure you keep the units from beginning to end.
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Verified answer
heat = mass steam x specific heat steam x deltaT
note that heat will be released as it cools
heat = 1.26g x 2.02J/g-ºC x 83.1ºC = 211.51J
As long as it doesn't change form (solid to liquid or liquid to gas), you should be OK finding the temperature difference, and multipying that by the the specific heat and the mass of the water vapor.
Make sure you keep the units from beginning to end.
Wrong-- the answer is - 210J