The average molar heat capacities of ice and water

Asked by admin @ 20/08/2021 in Chemistry viewed by 292 People

The average molar heat capacity of ice and water are 37.8 and 75.6 J/mol. enthalpy of fusion of ice is 6.012 KJ/mol. amount of heat required to change 10g of ice at -10 degree Celsius to water at 10 degree celsius would be

(1) 2376J
(2) 4752 J
(3) 3970 J
(4) 1128 J

Answered by admin @ 20/08/2021

Hello there,

● Answer-
H = 3970 J

● Explaination-
n1 = 10 g = 10/18 = 0.555 mol
n2 = 10 g = 10/18 = 0.555 mol
∆Hf = 6020 J/mol
c1 = 37.6 /molK
c2 = 75.2 /molK

# Solution-
To convert ice into water three enthalpies are involved.

Heat required to change temp of ice from -10 to 0 -
∆H1 = n1c1∆T
∆H1 = 0.555 × 37.6 × 10
∆H1 = 208 J

Heat required to change temp of water from 0 to 10 -
∆H2 = n2c2∆T
∆H2 = 0.555 × 75.2 × 10
∆H2 = 418 J

Enthalpy of melting-
∆Hf = 0.555 × 6020
∆Hf = 3344 J

Total heat required is-
H = ∆H1 + ∆Hf + ∆H2
H = 208 + 3344 + 418
H = 3970 J

Therefore, heat required to convert given ice to water is 3970 J.

Hope it helps...

The average molar heat capacities of ice and water

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