A kettle heats 1.75 kg of water. The specific latent heat of vaporisation of water is 3.34 x 106 J/kg. How much energy would be

Question

2 years ago

7

needed to boil off the water? Write the answer out in full (i.e. not in standard form).

1 answer:

labwork [276] · Answer 1 · 2023-07-26T14:23:26+03:00

The amount of energy needed to boil off the water is 5,845,000 J

Explanation:

The amount of thermal energy needed to completely boil a certain amount of a liquid substance already at boiling temperature is given by

$Q=m\lambda_v$

where

m is the amount of the substance

$\lambda_v$ is the specific latent heat of vaporization of the substance

In this problem, the substance is water, and its mass is

m = 1.75 kg

Its specific latent heat of vaporization is

$\lambda_v = 3.34\cdot 10^6 J/kg$

Assuming that the water is already at boiling temperature, therefore, the thermal energy needed to boil off the water is

$Q=(1.75)(3.34\cdot 10^6)=5,845,000 J$

Learn more about specific heat:

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