How much energy is required to change a 40-g ice cube from ice at -10 Celsius to steam at 110 Celsius?
Solution- As we know ice will turn to water at 0 C, ΔT1 =
10
So,
Q1 = mciceΔT1 + mLfusion
= 40 x 2.108 x 10 + 40 x 334.0
Q1 = 14203.2 J
Now again steam at 100 C, ΔT2 = 100
Q2 = mcwaterΔT2 + mLvaporisation
= 40 x 4.187 x 100 + 40 x 2260
Q2 = 107148 J
And at last, to the end point ΔT3 = 10
(here's no phase change)
Q3 = mcsteamΔT3
= 40 x 1.996 x 10
Q3 = 798.4 J
Now we just add all the three to get total
QTotal = Q1 + Q2 + Q3
= 14203.2 + 107148 + 798.4
= 122149.6 J
= 122.15 kJ
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