The specific heat of gold is 0.031 calories/gram C. If 10.0 grams of gold were heated and the temperature of the sample changed 20.0C, how many calories of heat energy were absorbed by the sample?

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10 grams of gold would have a specific heat of 0.31 calories

10 x 0.031 and if heated up by 20.0 degrees centigrade then 20.0 x 0.31 would be a 6.2 calorie increase in heat.

the heat means that it is the calories produced in the gram of gold by a 1 degree rise in degrees centigrade.