To make hot chocolate for you and your friends, you must melt 3.0 kg of snow (0.0°C) and heat it to 70.0°C to make the hot chocolate. Calculate the total amount of heat needed.

Heat of fusion of ice = 3.34 × 10^5 J/kg, Specific Heat of Water = 4180 J/(kg.K)

Respuesta :

Answer: [tex]18.798\times 10^5\ J[/tex]

Explanation:

Given

Mass of snow is [tex]m=3\ kg[/tex]

First snow is converted to water at [tex]0^{\circ}C[/tex] and then it is taken to [tex]70^{\circ}C[/tex]

Heat required to convert the ice into water at [tex]0^{\circ}C[/tex]

[tex]Q_1=3\times 3.34\times 10^5\\Q_1=10.02\times 10^5\ J[/tex]

Heat required to raise temperature from [tex]0^{\circ}C[/tex] to [tex]70^{\circ}C[/tex]

[tex]Q_2=3\times 4180\times (70-0)\\Q_2=8.778\times 10^5\ J[/tex]

Total heat required

[tex]\Rightarrow Q=Q_1+Q_2\\\Rightarrow Q=10.02\times 10^5+8.778\times 10^5\\\Rightarrow Q=18.798\times 10^5\ J[/tex]