Interpretation:
The amount of heat energy needed to convert 866g of ice at –15°C to steam at
Concept introduction:
The amount of heatthatis required to raise the temperature having specific heat is calculated by the expression given below:
Here,
The change in temperature is the temperature difference between the final and initial temperatures. It is expressed as follows:
The amount of energy needed for phase change from liquid phase to vaporphase is given by the relation as follows:
Here,
The amount of energy needed for phase change from solid phase to liquid phase is given by the relation as follows:
Here,
Answer to Problem 85QP
Solution:
Explanation of Solution
Given information: Specific heat of ice is
Step
The energy required to warm ice from –15°Cto
Calculate the change in temperatureby using the equation as follows:
By substituting values in the above equation as follows:
The specific heat
Substitute the required values in the above equation as follows:
Step
The number of moles of water is calculated by dividing the given mass to the molar mass as follows:
Substitute
Step
Calculate the change in temperatureby using the equation as follows:
By substituting the values in the above equation as follows:
The specific heat of water is
Substitute the required values in the equation as follows:
Step
Substitute
Step
Calculate the change in temperatureby using the equation as follows:
By substituting the values in the above equation as follows:
The specific heat of steam is
Substitute the required values in the equation as follows:
The total amount of energy needed is the sum of all energy changes calculated in the above steps.
It is calculated as follows:
The amount of heat energy needed to convert 866g of ice at –15°Cto steam at
Want to see more full solutions like this?
Chapter 11 Solutions
Chemistry
- The molar heat of fusion of sodium metal is 2.60 kJ/mol, whereas its heat of vaporization is 97.0 kJ/mol. a. Why is the heat of vaporization so much larger than the heat of fusion? b. What quantity of heat would be needed to melt 1.00 g sodium at its normal melting point? c. What quantity of heat would be needed to vaporize 1.00 g sodium at its normal boiling point? d. What quantity of heat would be evolved if 1.00 g sodium vapor condensed at its normal boiling point?arrow_forwardThe enthalpy of vaporization of liquid mercury is 59.11 kJ/mol. What quantity of energy as heat is required to vaporize 0.500 mL of mercury at 357 C, its normal boiling point? The density of mercury is 13.6 g/mL.arrow_forward8.48 Why must the vapor pressure of a substance be measured only after dynamic equilibrium is established?arrow_forward
- Water at 0C was placed in a dish inside a vessel maintained at low pressure by a vacuum pump. After a quantity of water had evaporated, the remainder froze. If 9.31 g of ice at 0C was obtained, how much liquid water must have evaporated? The heat of fusion of water is 6.01 kJ/mol and its heat of vaporization is 44.9 kJ/mol at 0C.arrow_forwardWhite phosphorus, P4, is normally a white, waxy solid melting at 44C to a colorless liquid. The liquid has a vapor pressure of 400.0 mmHg at 251.0C and 760.0 mmHg at 280.0C. What is the heat of vaporization of this substance?arrow_forwardWhat phase changes will take place when water is subjected to varying pressure at a constant temperature of 0.005 C? At 40 C? At 40 C?arrow_forward
- General Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning
- Chemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning