124k views
4 votes
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)

User TimonWang
by
4.6k points

1 Answer

4 votes

Answer:
18.798* 10^5\ J

Step-by-step explanation:

Given

Mass of snow is
m=3\ kg

First snow is converted to water at
0^(\circ)C and then it is taken to
70^(\circ)C

Heat required to convert the ice into water at
0^(\circ)C


Q_1=3* 3.34* 10^5\\Q_1=10.02* 10^5\ J

Heat required to raise temperature from
0^(\circ)C to
70^(\circ)C


Q_2=3* 4180* (70-0)\\Q_2=8.778* 10^5\ J

Total heat required


\Rightarrow Q=Q_1+Q_2\\\Rightarrow Q=10.02* 10^5+8.778* 10^5\\\Rightarrow Q=18.798* 10^5\ J

User Gustavodidomenico
by
5.0k points