Determining the final mass of a cup using calorimetry.

A 150 gram Aluminum calorimeter cup contains 320 grams of water at 22 degrees Celsius. Steam at 100 degrees Celsius is routed into the calorimeter until the temperature of the cup and its contents reaches 50 degrees Celsius. What is the final total mass of the cup and its contents?

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...at of the steam gives up to get down to 50 degrees is equal to the total heat required to bring the original contents of the calorimeter up to 50 degrees.

To raise the temperature of the calorimeter and the original water one degree takes

4.18 J/g * 320 g+ 0.89 J/g * 150 g = 1471.1 J

The total number of joules ...