The temperature change in water upon the complete melting of 8.5 g of ice that is placed in 255 g of water is .
Further explanation:
When the physical state of substance changes from solid to liquid, the amount of heat absorbed in this process for complete conversion of solid into liquid without altering the temperature is known as the latent heat of fusion.
The formula to calculate heat absorbed from the latent heat of fusion is as follows:
…… (1)
Where,
q is heat absorbed.
n is the number of moles of substance.
is latent heat of fusion.
The formula to calculate the moles of water is as follows:
…… (2)
The mass of water is 8.5 g.
The molar mass of water is 18.0152 g/mol.
Substitute these values in equation (2).
Substitute 0.4178 mol for n and 6.02 kJ/mol for in equation (1).
Hence heat supplied by water for melting of ice becomes .
The formula to calculate the heat energy of the solution is as follows:
…… (3)
Where,
q is the amount of heat transferred.
m is the mass of the solution.
c is the specific heat.
is the change in temperature.
Rearrange equation (3) to calculate .
…… (4)
Substitute 255 g for m, for q and for c in equation (4).
Learn more:
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Thermodynamics
Keywords: latent heat of fusion, q, Hf, 6.02 kJ/mol, 255 g, water, moles of water, molar mass of water, 18.0152 g/mol, 8.55 g.