Answer :
Specific heat capacity of a substance is the amount of heat required to raise the temperature by one degree Celsius of one gram of a substance. Therefore, 13.12KJ of heat is required to melt 39.4 g of ice at (0 ∘C ).
What is Enthalpy?
Enthalpy term is basically used in thermodynamics to show the overall energy that a matter have. Mathematically, Enthalpy is directly proportional to specific heat capacity of a substances.
Mathematically,
q = n ×ΔH
where
q = amount of heat= ?
n = no of moles
ΔH = enthalpy ( 6.02 kJ/ mol)
n = w / M.M
w = given mass =39.4g
M.M = molar mass ( molar mass of water)=18g/mol
n =39.4/ 18
=2.18
Substituting all the given values, we get
q = n ×ΔH
= 2.18 ×6.02
= 12.401 kJ
=13.12KJ
Therefore, 13.12KJ of heat is required to melt 39.4 g of ice at (0 ∘C ).
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