Energy of Phase Changes

AP Chemistry· difficulty 4/5

How much energy is required to convert 50.0 g of ice at 10.0-10.0^\circC to steam at 110.0^\circC? (cicec_{ice} = 2.09, cwaterc_{water} = 4.18, csteamc_{steam} = 2.01 J/g^\circC; ΔHfus\Delta H_{fus} = 334 J/g; ΔHvap\Delta H_{vap} = 2260 J/g)

  • A

    92 kJ

  • B

    113 kJ

  • C

    151 kJ

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  • D

    208 kJ

Explanation

Heat ice: (50)(2.09)(10) = 1045 J. Melt: (50)(334) = 16700 J. Heat water: (50)(4.18)(100) = 20900 J. Vaporize: (50)(2260) = 113000 J. Heat steam: (50)(2.01)(10) = 1005 J. Total = 152.6 kJ \approx 151 kJ.

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