Question

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

Answer 1

Answer:

The temperature change is 7.2 °C

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

$x=\frac{Q}{mc}$

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

$x=\frac{3000}{100\times 4.186}\\x=\frac{30}{4.186}\\x=7.17\approx 7.2\ \°C$

Therefore, the temperature change is 7.2 °C.