The total quantity of heat received by the soup

[mms0101]

Homework Statement

frozen soup of a mass of 0,40kg enters a microwave at -15°C. after 6 minutes the soup eaches a ° of 75°C
SHC of soup at solid state : c = 2100J/kg°C
SHC of liquid soup : c = 4200K/kg°C
SLH of fusion of soup : Lf = 330 000J/kg
melting point of soup : 0°C
THE QUESTION : WHAT IS THE TOTAL QUANTITY OF HEAT RECEIVED BY THE SOUP ?

Homework Equations

E = mcΔt
E= mL

The Attempt at a Solution

E = mcΔT
= 0,4 x 2100 x 15
=12600 J

E = mL
= 0,4 x 330 000
=132000J

E = mcΔT
= 0,4 x 4200 x 75
=126000

Etot = 132,000 + 12600 + 126000
=270600 J

teachers answer : 2 671 000 J
i have no idea how to get to it i am in my 5th year at the european school

Homework Statement

Homework Equations

The Attempt at a Solution

 

[Ratch]

mms0101,

I can't see anything wrong with your answer.

Ratch

 

[rude man]

You're right, teach is wrong. Sure that was his answer?

 

[mms0101]

ill go talk to him tomorrow as i have another answer to do with circuits that mismatch his ill let you know :) thank you anyway

 

[DeeNos]

Based on the given information, the total quantity of heat received by the soup can be calculated by adding the heat required for the soup to reach its melting point, the heat required for the soup to melt, and the heat required for the soup to reach its final temperature. This can be expressed as:

Etot = E1 + E2 + E3

Where:
E1 = Heat required for the soup to reach its melting point
E2 = Heat required for the soup to melt
E3 = Heat required for the soup to reach its final temperature

To calculate E1, we can use the specific heat capacity of the soup in its solid state:

E1 = mcΔT
= 0.4 kg x 2100 J/kg°C x (0°C - (-15°C))
= 12600 J

To calculate E2, we can use the specific latent heat of fusion of the soup:

E2 = mL
= 0.4 kg x 330000 J/kg
= 132000 J

To calculate E3, we can use the specific heat capacity of the soup in its liquid state:

E3 = mcΔT
= 0.4 kg x 4200 J/kg°C x (75°C - 0°C)
= 126000 J

Therefore, the total quantity of heat received by the soup is:

Etot = 12600 J + 132000 J + 126000 J
= 270600 J

It is possible that the teacher's answer of 2,671,000 J is a mistake, as it is significantly higher than the calculated value. It is important to double check the calculations and units used to ensure accuracy.