0.5kg of water at 10ºC is completely converted to ice at 0ºC by extracting (88000) of heat from it. If the specific heat capacity of water is 4200jkg\(^{1}\...

Assessment: JAMB UTME - Physics - 2021 Subject: Physics

Question 1 Report

0.5kg of water at 10ºC is completely converted to ice at 0ºC by extracting (88000) of heat from it. If the specific heat capacity of water is 4200jkg\(^{1}\) Cº. Calculate the specific latent heat of fusion of ice.

Answer Details

Heat involved (H) = 88,000J, Mass(M)= 0.5kg,  specific heat capacity of water(C) = 4200JkgºC,

Specific latent heat of fusion(L) = ?, Temperature change(Δθ) =  θ2 -  θ1 =  (10 - 0)° = 10°

H = MCΔθ + ML 

or

H = M(CΔθ + L) -->HM H M  = CΔθ + L 

: L = HM H M  -  CΔθ = 88,0000.5 88 , 000 0.5  - 4200 × ×  10

L = 176,000 - 42000 = 134,000

L = 134,000 or 134kj/kg

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