## Heat Capacity Calculator :

Heat Capacity of an object can be calculated by dividing the amount of heat energy supplied (E) by the corresponding change in temperature (T) and you get the calculator below it.

## Heat Capacity Formula :

The Heat capacity is Q_{(j)} in joule is equal to the mass m _{(g) } in grams and multiply the specific heat of an object c_{(}_{J/g °C}_{)} in joule per gram degree Celsius and multiply the change in the temperature ΔT_{(}_{°C}_{) } in degree Celsius. Hence the heat capacity formula can be written as

**Q _{(j)}=m _{(g) }*c_{(}_{J/g °C)} *ΔT_{(}_{°C)}**

Where,

Q →heat capacity in Joules

m → mass in grams

c→ specific heat of an object in J/g °C

ΔT→ change in the temperature in °C

## Sample Problems :

## Problem 1:

Calculate the heat capacity of copper of mass 40g and the temperature difference is 10^{o}C if 500 J of heat is lost?

### Solution :

Given parameters are

Mass m=40g

Temperature difference T=10^{o}C

Heat lost ΔQ =500J

The Heat capacity formula is given by

Q=mcΔT

Q=500/10

C=50 J/^{0} C

## Problem 2:

Calculate the heat capacity of 5000 J of heat is used to heat the iron rod of mass 20 Kg from 10^{o}C to 30^{o}C?

### Solution :

Given parameters are

Mass m=20kg

Temperature difference ΔT =10^{0} C

The Heat capacity formula is given by

Q=mcΔT

C=5000/10

C=500 J/^{0} C