Question

What do you mean by: The heat capacity of a body is $ 50J{K^{ - 1}} $ ? Find the temperature of the body.

Answer 1

Hint :In order to solve this question, we have to define the heat capacity of the body and then what the value of heat capacity $ 50J{K^{ - 1}} $ simply means. In order to find the temperature of the body, we can use the formula for the heat capacity of a body that relates the heat capacity and the temperature.
The formula for the heat capacity of a body is
 $ C = \dfrac{Q}{{\Delta T}} $

Complete Step By Step Answer:
 The heat capacity of a body is the amount of heat required to raise the temperature of a substance by unit change. The S.I. The unit of the heat capacity is $ J{K^{ - 1}} $ .
The statement that the heat capacity of a body is $ 50J{K^{ - 1}} $ means that the amount of heat required to raise the temperature of the one gram of that body by one kelvin is $ 50 $ Joules.
In order to find the temperature of the body, we use the following relation
 $ C = \dfrac{Q}{{\Delta T}} $
If there is one degree increase in temperature then, $ C = 50J{K^{ - 1}} $
And if initial temperature is zero degrees, then final temperature of the body can be found by
 $ T = \dfrac{Q}{{50}} $ .

Note :
It is very important for the other parameters like the initial temperature, the heat lost or gained by the body or the specific heat capacity to be known to find the exact value of the temperature of the body. Without all the information, we can only give a relation for the value of the temperature.