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Why do you need to be careful to dry the ice before adding it to the water in Pa

ID: 1998569 • Letter: W

Question

Why do you need to be careful to dry the ice before adding it to the water in Part B? How much energy is needed to melt 35g of ice at 0 degree C to turn it into water at 0 degree C? (Show your calculations) How much energy is needed to increase the temperature of 35g of water from 0 degree C to 20 degree C? (Show your calculations) 4. What is the mass of water at 40 degree C that would need to be cooled to 20 degree C in order to provide enough energy for questions 2 and 3 combined? (Show your calculation)

Explanation / Answer

2.
This involves the process of phase change.
Heat energy needed, Q1 = mLf
m is the mass of ice, m = 35 g = 0.035 kg.
Lf is the latent heat of fusion for ice, Lf = 333.55 kJ/kg
Q1 = 0.035 kg x 333.55 kJ/kg
= 11.67425 kJ

3.
Heat energy needed, Q2 = mCdT
C is the specific heat of water, C = 4.186 kJ/Kg.K
Q2 = 0.035 kg x 4.186 kJ/Kg.K x (20 - 0) K
= 2.9302 kJ

4.
Q1 + Q2 = m C dT
(11.67425 + 2.9302) x 103 = m x 4.186 kJ/kg. K x (40 - 20)
14.60445 x 103 = 83.72 m
m = 174.44 kg

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