A 40kg box of sweet cherries at 10 ° c cosisting of 30kg water and 10kg cherries is to be frozen at -30°c.Calculate the total amount of heat that needsto be removed from the cherries . The specific heat capacity of cherries is 3.43kj /kg°c. The specific ccapacity of water is 4.187(use 0°c to -30°c) the specific heat capacity of ice is 2.108kg°c (use for 0°c to -30°c) latent heat of fusion of cherries is 322kj/jg and latent heat of fusion for water is 334kj/kg.

Yes

To calculate the total amount of heat that needs to be removed from the cherries, we need to consider the different temperature ranges and the different heat transfer processes involved.

First, we need to calculate the heat required to lower the temperature of the water content in the cherries from 10 °C to 0 °C.

Heat required = mass of water * specific heat capacity of water * change in temperature
= 30 kg * 4.187 kJ/kg°C * (0 °C - 10 °C)
= -1248.3 kJ (negative sign indicates heat removal)

Next, we need to calculate the heat required to freeze the water content in the cherries at 0 °C.

Heat required = mass of water * latent heat of fusion of water
= 30 kg * 334 kJ/kg
= 10020 kJ

Now, we need to calculate the heat required to lower the temperature of the cherries from 10 °C to 0 °C.

Heat required = mass of cherries * specific heat capacity of cherries * change in temperature
= 10 kg * 3.43 kJ/kg°C * (0 °C - 10 °C)
= -343 kJ (negative sign indicates heat removal)

Finally, we need to calculate the heat required to freeze the cherries at 0 °C.

Heat required = mass of cherries * latent heat of fusion of cherries
= 10 kg * 322 kJ/kg
= 3220 kJ

Now, to calculate the total amount of heat that needs to be removed from the cherries, we sum up all these heat transfer processes:

Total heat required = heat to lower water temperature + heat to freeze water + heat to lower cherry temperature + heat to freeze cherries
= (-1248.3 kJ) + 10020 kJ + (-343 kJ) + 3220 kJ
= 8493.7 kJ

Therefore, the total amount of heat that needs to be removed from the cherries is 8493.7 kJ.