How much heat energy, in kilojoules, is required to convert 46.0 g of ice at −18.0 ∘C to water at 25.0 ∘C ? Express your answer to three significant figures and include the appropriate units.
The constants for H2O are shown here:
Specific heat of ice: sice=2.09 J/(g⋅∘C)
Specific heat of liquid water: swater=4.18 J/(g⋅∘C)
Enthalpy of fusion (H2O(s)→H2O(l)): ΔHfus=334 J/g
Enthalpy of vaporization (H2O(l)→H2O(g)): ΔHvap=2250 J/g
Ti = -18.0 oC
Tf = 25.0 oC
here
Cs = 2.09 J/g.oC
Heat required to convert solid from -18.0 oC to 0.0 oC
Q1 = m*Cs*(Tf-Ti)
= 46 g * 2.09 J/g.oC *(0--18) oC
= 1730.52 J
delta Hfusion = 334 J/g
Heat required to convert solid to liquid at 0.0 oC
Q2 = m*delta Hfusion
= 46.0g *334.0 J/g
= 15364 J
Cl = 4.18 J/g.oC
Heat required to convert liquid from 0.0 oC to 25.0 oC
Q3 = m*Cl*(Tf-Ti)
= 46 g * 4.18 J/g.oC *(25-0) oC
= 4807 J
Total heat required = Q1 + Q2 + Q3
= 1730.52 J + 15364 J + 4807 J
= 21901 J
= 21.9 KJ
Answer: 21.9 KJ
Get Answers For Free
Most questions answered within 1 hours.