# If you wish to warm 100 kg of water by 20 degrees C for your bath how much heat is required?

##### 2 Answers

2000000 heat calories.

#### Explanation:

The heat capacity of water is 1 calorie for 1 gram raised 1 degree C

or 4.186 joules of energy for 1 gram raised 1 degree C ( or

l Kg = 1000 grams so

It takes 10 000 calories to raise 10 000 grams of water 1 degree

so 20 degrees x 10 000 grams = 2 000 000 calories.

The same type calculations can be done for heat in joules

10, 000 grams x 4.186 joules x 20 degrees. = 8372000 joules.

The heat required is 8.4 MJ.

#### Explanation:

The energy required to heat an object is given by the formula

#color(blue)(|bar(ul(color(white)(a/a) q = mcΔTcolor(white)(a/a)|)))" "#

where

In your problem,

∴