Answer:
116.3 kJ
Step-by-step explanation:
Three heat transfers are involved
q = Heat to warm ice + heat to melt ice + heat to warm water + heat to evaporate water + heat to warm steam
q = q₁ + q₂ + q₃ + q₄ + q₅
q = mC₁ΔT₁ + mΔH_fus + mC₃ΔT₃ + mΔH_vap + mC₅ΔT₅
Step 1: Calculate q₁
m = 37.0 g
C₁ = 2.010 J·°C⁻¹g⁻¹
ΔT₁ = T_f – T_i
ΔT₁ = 0.0 – (-10.0)
ΔT₁ = 10.0 °C
q₁ = 37.0 × 2.010 × 10.0
q₁= 743.7 J
q₁= 0.7437 kJ
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Step 2. Calculate q₂
ΔH_fus = 334 J/g
q₂ = 37.0 × 334
q₂ = 12 360 J
q₂ = 12.36 kJ
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Step 3: Calculate q₃
C₃ = 4.179 J·°C⁻¹g⁻¹
ΔT₃ = T_f – T_i
ΔT₃ = 100 – 0
ΔT₃ = 100 °C
q₃ = 37.0 × 4.179 × 100
q₃ = 15 460 J
q₃ = 15.46 kJ
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Step 4. Calculate q₄
ΔH_vap = 2260 J/g
q₄ = 37.0 × 2260
q₄ = 83 620 J
q₄ = 83.62 kJ
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Step 5. Calculate q₅
C¬₅ = 2.010 J·°C⁻¹g⁻¹
ΔT₅ = T_f – T_i
ΔT₅ = 155.0 – 1000
ΔT₅ = 55.0 °C
q₅ = 37.0 × 2.010 × 55
q₅ = 4090 J
q₅ = 4.090 kJ
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Step 6. Calculate q
q = 0.7437 + 12.36 + 15.46 + 83.62 + 4.090
q = 116.3 kJ
The heat required is 116.3 kJ.