How many kilojoules of heat energy are
absorbed when 100.0 g of water are heated
from 20.0°C to 30.0°C?
(1) 4.18 kJ
(3) 418 kJ
(2) 41.8 kJ
(4) 0.418 kJ

Respuesta :

The answer is 1- 4.18 KJ !

The heat energy absorbed by 100.0 g of water is 4.18 kiloJoules.

Given:

The 100.0 g of water was heated  from 20.0°C to 30.0°C.

To find:

The kilojoules of heat energy are  absorbed when 100.0 g of water.

Solution:

Mass of water = m = 100.0 g

The specific heat capacity of the water = c = 4.184J/g°C

The initial temperature of the water = [tex]T_1=20.0^oC[/tex]

The final temperature of the water = [tex]T_2=30.0^oC[/tex]

The amount of heat absorbed by the water = Q

The heat required to change the temperature of 100.0 grams of water from 20.0°C to 30.0°C will be given by :

[tex]Q=m\times c\times (T_2-T_1)\\\\Q=100.0g\times 4.184J/g^oC\times (30.0^oC-20.0^oC)\\\\Q=4,184 J\\\\1 J = 0.001 kJ\\\\4,184 J=4,184\times 0.001 kJ\\\\=4.184 kJ\approx 4.18kJ[/tex]

The heat energy absorbed by 100.0 g of water is 4.18 kiloJoules.

Learn more about the specific heat capacity of substance here:

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