193k views
2 votes
Please Help! 20 points for 2 Chemistry Questions!

1.) Consider the specific heats.
H2O(s) = 2.09 J/g · ◦C
H2O (ℓ) = 4.18 J/g · ◦C
H2O(g) = 2.03 J/g · ◦C.
The heat of fusion for water is 334 J/g and its heat of vaporization is 2260 J/g. Calculate the amount of heat required to convert 90 g of ice at −15◦C completely to liquid water at 56◦C. Answer in units of kJ.

2.) How much energy is required to turn 12 g ice at 227 K into steam at 382 K?
Specific heat of ice = 2.077 J/g·K
Specific heat of water (ℓ) = 4.180 J/g·K
Specific heat of steam = 2.042 J/g·K
H2O heat of fusion = 6.00 kJ/mol
H2O heat of vaporization = 40.6 kJ/mol
Answer in units of J.

User Kareem
by
4.5k points

1 Answer

2 votes

Answer:

The answer to your question is:

1.- Q = 53.95 kJ

2.- Q = 37450.2 J

Step-by-step explanation:

1.- Data

H2O(s) = 2.09 J/g · ◦C

H2O (ℓ) = 4.18 J/g · ◦C

H2O(g) = 2.03 J/g · ◦C

heat of fusion = 334 J/g

heat of vaporization = 2260 J/g

Heat = ? kJ

T1 = -15°C

T2 = 56°C

Process

Calculate heat from -15°C to 0°C

heat of fusion

heat from 0°C to 56°C

a) heat from -15°C to 0°C

Q = mCp(T2 - T1)

Q = (90)(2.09) (0 + 15)

Q = 2821.5 J

b) heat of fusion

Q = (334)(90)

Q = 30060 J

c) heat from 0° to 56°C

Q = (90)(4.18)(56 - 0)

Q = 21067.2 J

Total heat = Q = 2821.5 + 30060 + 21067.2

Q = 53948.7 J

Q = 53.95 kJ

2.-

Data

Energy = ?

mass = 12 g

T1 = 227°K

T2 = 382 °K

Specific heat of ice = 2.077 J/g·K

Specific heat of water (ℓ) = 4.180 J/g·K

Specific heat of steam = 2.042 J/g·K

H2O heat of fusion = 6.00 kJ/mol = 6000 J/ mol = 333.3 J/g

H2O heat of vaporization = 40.6 kJ/mol = 40600 J/ mol = 2255.6 J/g

Process

Calculate heat from 227 to 273°K

fusion heat

heat from 273 to 373°K

vaporization heat

heat from 373 to 382°K

heat from 227 to 273°K

Q = (12)(2.077)(273 - 227)

Q = 1146.5 J

fusion heat

Q = (12)(333.3)

Q = 4000 J

heat from 273 to 373 °K

Q = (12)(4.18)(373 - 273)

Q = 5016 J

vaporization heat

Q = (12)(2255.6)

Q = 27067.2 J

heat from 373 to 382

Q = (12)(2.042)(382 - 373)

Q = 220.5 J

Total heat

Q = 1146.5 + 4000 + 5016 + 27067.2 + 220.5

Q = 37450.2 J

User Bjarki B
by
5.3k points