Question

Show that 1cal/g⋅ºC=1kcal/kg⋅ºC.

Answer 1

1 cal/g⋅ºC is equal to 1 kcal/kg⋅ºC because they represent the same amount of heat energy per unit mass.

Step-by-step explanation:

In order to show that 1 cal/g⋅ºC is equal to 1 kcal/kg⋅ºC, we need to consider the definitions of these units.

The calorie (cal) is the amount of heat energy needed to raise the temperature of 1 gram of water by 1 degree Celsius.

The kilocalorie (kcal) is defined as the energy needed to raise the temperature of 1 kilogram of water by 1 degree Celsius.

Since 1 kilogram is equal to 1000 grams, and the temperature change is the same in both cases, 1 cal/g⋅ºC is equal to 1 kcal/kg⋅ºC.