   Chapter 11, Problem 32P

Chapter
Section
Textbook Problem

How much energy is required to change a 40.-g ice cube from ice at −10. °C to steam at 110.°C?

To determine
The energy required to change a 40 g ice cube from ice at 10°C to steam at 110°C .

Explanation

Given Info: Mass of ice cube is 40 g, initial temperature of ice cube is 10°C , temperature of steam is 110°C ,

Explanation:

Energy supplied must lower the temperature of ice from 10°C   to 0°C , then melt the ice to cold water at 0°C , then it has to raise the temperature of water to 100°C , then transform the water to steam at 100°C and then increase the temperature of steam to 110°C .

Formula to calculate the heat required to raise the temperature of ice 0°C is,

Qice=micecice(Tf,iceTi,ice) (I)

• Qice is the heat required to raise the temperature of ice to 0°C ,
• mice is the mass of the ice,
• Ti,ice is the initial temperature of ice,
• Tf,ice is the final temperature of ice,

Formula to calculate the heat required to melt the ice to cold water is,

Qmelt=miceLf (II)

• Qmelt is the energy required to melt the ice to cold water,
• mice is the mass of the ice,
• Lf is the latent heat of fusion of ice,

Formula to calculate the heat required to raise the temperature of cold water to hot water at 100°C is,

Qboil=mwatercwater(Tf,waterTi,water) (III)

• Qboil is the heat required to raise the temperature of cold water to hot water.
• cwater is the specific heat of water,
• Ti,water is the initial temperature of cold water from ice,
• Tf is the boiling temperature of water,

Formula to calculate the heat required to transform water to steam at 100°C is,

Qsteam=msteamLv (IV)

• Qsteam is the energy required to transform water to steam,
• msteam is the mass of the steam,
• Lv is the latent heat of vaporization,

Formula to calculate the heat required to raise the temperature of steam to 110°C is,

Qsteam=msteamcsteam(Tf,steamTi,steam) (V)

• Qsteam is the heat required to raise the temperature of steam,
• msteam is the mass of steam,
• csteam is the specific heat of steam,
• Ti,steam is the initial temperature of steam,
• Tf,steam is the final temperature of steam,

Formula to calculate the energy required to change 40 g ice cube from ice at 10°C to steam at 110°C is,

Q=Qice+Qmelt+Qboil+Qsteam+Qsteam (VI)

Substitute equation (I), (II), (III) (IV) (V) in equation (VI) to calculate Qtran

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