Heat of Vaporization and Heat of Fusion Learning Goal: To calculate the total energy required to convert...
Free
60.1K
Verified Solution
Question
Chemistry
Heat of Vaporization and Heat of Fusion
Learning Goal:
To calculate the total energy required to convert a solid to agas using heat capacity, heat of fusion, and heat ofvaporization.
The amount of heat required to melt one mole of a solid is calledthe heat of fusion (ΔHfus). The amount of heatrequired to vaporize (boil) one mole of a liquid is called theheat of vaporization (ΔHvap). The heat of fusionand the heat of vaporization can be used to calculate the amount ofheat needed to melt or vaporize, respectively, a given amount ofsubstance.For example, the heat of fusion for H2O is 6.02 kJ/mol, whichmeans that 6.02 kJ of heat is needed to melt a mole of ice. Twiceas much heat is needed to melt twice as much ice, as shownhere:
2.00 mol×6.02 kJ/mol=12.0 kJ
Constants
Heat of fusion (ΔHfus) is used for calculationsinvolving a phase change between solid and liquid, with notemperature change. For H2O, ΔHfus=6.02 kJ/mol.
Specific heat capacity (C) is used for calculationsthat involve a temperature change, but no phase change. For liquidwater, C=4.184 J/(g⋅∘C).
Heat of vaporization (ΔHvap) is used for calculationsinvolving a phase change between liquid and gas, with notemperature change. For H2O, ΔHvap=40.7 kJ/mol.
Part A
How much heat is required to melt 52.5 g of ice at its meltingpoint?
Express your answer numerically in kilojoules.
17.5
  kJ Â
SubmitHintsMyAnswersGive UpReviewPart
Correct
Part B
How much heat is required to raise the temperature of52.5 g of water from its melting point to its boilingpoint?
Express your answer numerically inkilojoules.
158.0775
  kJ Â
SubmitHintsMy AnswersGive UpReview Part
Incorrect; Try Again; 4 attempts remaining; no pointsdeducted
****NEED HELP PLEASE PART B ANSWER IS WRONG****
Heat of Vaporization and Heat of Fusion Learning Goal: To calculate the total energy required to convert a solid to agas using heat capacity, heat of fusion, and heat ofvaporization. The amount of heat required to melt one mole of a solid is calledthe heat of fusion (ΔHfus). The amount of heatrequired to vaporize (boil) one mole of a liquid is called theheat of vaporization (ΔHvap). The heat of fusionand the heat of vaporization can be used to calculate the amount ofheat needed to melt or vaporize, respectively, a given amount ofsubstance.For example, the heat of fusion for H2O is 6.02 kJ/mol, whichmeans that 6.02 kJ of heat is needed to melt a mole of ice. Twiceas much heat is needed to melt twice as much ice, as shownhere: 2.00 mol×6.02 kJ/mol=12.0 kJ | Constants Heat of fusion (ΔHfus) is used for calculationsinvolving a phase change between solid and liquid, with notemperature change. For H2O, ΔHfus=6.02 kJ/mol. Specific heat capacity (C) is used for calculationsthat involve a temperature change, but no phase change. For liquidwater, C=4.184 J/(g⋅∘C). Heat of vaporization (ΔHvap) is used for calculationsinvolving a phase change between liquid and gas, with notemperature change. For H2O, ΔHvap=40.7 kJ/mol. Part A How much heat is required to melt 52.5 g of ice at its meltingpoint? Express your answer numerically in kilojoules.
SubmitHintsMyAnswersGive UpReviewPart Correct Part B How much heat is required to raise the temperature of52.5 g of water from its melting point to its boilingpoint? Express your answer numerically inkilojoules.
SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again; 4 attempts remaining; no pointsdeducted ****NEED HELP PLEASE PART B ANSWER IS WRONG**** |
Answer & Explanation Solved by verified expert
q = m c dT Â Â Â Â Â -- equation 1Â Â Â
Where, q = heat change                                                , m= mass in gram,
c = specific heat (in terms of J/gK) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
dT = final temperature – initial temperature.
Part B. Given,
               Mass of water = 52.5 g
               Initial temperature of water = 00C            [Melting point]
               Final temperature of water = 1000C         [Boiling point]
               dT = 1000C – 00C = 1000C
               Specific heat = 4.184 J/g0C
Putting the values in equation 1
               q = 52.5 g x (4.184 J/g0C) x 1000C
               or, q = 21966 J  = 21.966 kJ                                        ; [1 kJ = 1000 J]
Therefore, the amount of heat required to raise the temperature = 21.966 kJ
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Other questions asked by students
StudyZin's Question Purchase
1 Answer
$0.99
(Save $1 )
One time Pay
- No Ads
- Answer to 1 Question
- Get free Zin AI - 50 Thousand Words per Month
Unlimited
$4.99*
(Save $5 )
Billed Monthly
- No Ads
- Answers to Unlimited Questions
- Get free Zin AI - 3 Million Words per Month
*First month only
Free
$0
- Get this answer for free!
- Sign up now to unlock the answer instantly
You can see the logs in the Dashboard.