Question

If 100g of water loses 3000 j of energy, what is the temperature change ?

Answer 1

The temperature change is 7.2 °C

Step-by-step explanation:

Let the temperature change be given by 'x'.

Given:

Mass of water is,
`m=100\ g`

Heat lost by water is,
`Q=3000\ J`

Specific heat capacity of water is,
`c=4.186\ J/g\ \°C`

We know that, heat energy lost by 'm' g of water for a temperature change of 'x' °C is given as:

`Q=mcx`

Rewriting the above in terms of 'x', we have

`x=(Q)/(mc)`

Plug in 100 for 'm, 4.186 for 'c', 3000 for 'Q' and solve for 'x'. This gives,

`x=(3000)/(100* 4.186)\\x=(30)/(4.186)\\x=7.17\approx 7.2\ \°C`

Therefore, the temperature change is 7.2 °C.