SCH 4U enthalpy

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SCH 4U

Thermal Changes

Heating Curve of a Pure Substance

Q

b.p.

1

= m∆TC

Q

2

= ml f

melting

begins

m.p.

Q

3

= m∆TC

solid solid/liquid liquid

Time

Q

4

= ml v melting ends boiling begins

liquid/vapour

Q

5

= m∆TC boiling ends

vapour

Enthalpy Problems #1

1. How much heat energy is gained by 50.0 g of mercury when its temperature rises from 20.5

o C to 60.5

o C? [276 kJ]

2. Calculate the quantity of heat required to melt 100 g of ice at an initial temperature of –15 o C.

[36.7 kJ]

3. Determine the heat energy needed to convert 80 g of ice at –30 o C into steam at 150 o C.[255 kJ]

4. An experiment was performed using an aluminum type calorimeter and the data are shown below. Determine the specific heat capacity of the metal.

mass of calorimeter

mass of metal

= 100g T

= 200g i

(metal)

T i

= 95.0

o C

(calorimeter and water)= 15.0

mass of calorimeter and water = 200g

specific heat capacity (calorimeter)

T f

(mixture)

= 895 J/(kg· o C) [0.384 J/(g· o

= 25.5

C)] o C o C

5. A mass of 200 g of mercury at 113 o C is mixed with an unknown mass of water at 18 o C that is placed in a calorimeter. The mass of the calorimeter is 100 g and its specific heat capacity is

0.920 J/(g· o C). If the final temperature is 23 o C, determine the mass of water in the calorimeter.

[0.097 kg]

6. A mixture is made by adding 120 g of water at a temperature of 80 o C to 75 g of methanol at a temperature of 20 o C. Determine the final temperature of the mixture. (use specific heat capacity of methanol = 2.50 kJ/(kg o C)) [64 o C]

Enthalpy Problems #2

1. 2 Fe(s) + 3/2 O

2

(g)  Fe

2

O

3

(s) + 824 kJ

Write a thermochemical equation (2 ways) for the formation of 2 moles of Fe

2

O

3

.

2. 2 H

2

(g) + O

2

(g)  2 H

2

O(l) ∆H = -571.8 kJ

Determine the mass of hydrogen required to produce 775 kJ of energy [5.46 g]

3. CH

4

(g) + 2 O

2

(g)  CO

2

(g) + 2 H

2

O(l)

When 1.00 g of methane burns, 55.6 kJ were produced. a) Determine the enthalpy change for this reaction. b) Write a thermochemical equation for this reaction.

[∆H = - 892 kJ]

4. Convert the specific heat capacity of aluminum from 0.895 J/(g o C) to J/(K mol) [24.1]

5. If at 25.0

o C, 15.70 g of carbon dioxide absorbs 1.20 kJ, determine the final temperature of the

gas. Its molar heat capacity is 37.11 J/(K mol). [116 o C]

6. A 50.0 g piece of aluminum is heated to 100.0

o C and then put into a beaker containing 150.0

mL of water at 20.0

o C. Assuming no loss of heat to the surroundings, determine the final

temperature of the water. [25.3

o C]

7. A copper calorimeter has a mass of 305 g and contains 255 g of water. When 1.00 g of 1

propanol is burned, the calorimeter and contents increase in temperature by 28.8

thermochemical equation for this reaction. [∆H = -2.05 x10 3 kJ] o C. Write a

8. A 135 g sample of dilute hydrochloric acid (excess reactant) is placed in a copper calorimeter

with a mass of 465 g. The temperature of the acid and calorimeter is 11.7

aluminum metal reacted with the acid, the final temperature was 22.3

o o C. After 5.00 g of

C. Assuming that the

specific heat capacity of the acid solution is equal to that of water, determine the enthalpy

change for the reaction:

2 Al(s) + 6 HCl(aq)  2 AlCl

3

(aq) + 3 H

2

(g) [∆H = -87.4 kJ]

9. A student placed 50.0 mL of 2.05 mol/L NaOH in a coffee-cup calorimeter at 20.4

added 50.0 mL of 1.20 mol/L H

2

SO

4

also at 20.4

o o C, and

C. After quickly stirring the mixture, its temperature rose to 28.2

o C. Determine the enthalpy change for the reaction:

2 NaOH(aq) + H

2

SO

4

(aq)  2 H

2

O(l) + Na

2

SO

4

(aq) [∆H = -63.7 kJ]

Enthalpy Problems #3

1. Titanium metal is used as a structural material in many high-tech applications such as jet

engines. What is the specific heat capacity in J/(g o C) of titanium if it takes 179.4 J to raise the

temperature of a 35.0 g sample by 11.0

o C?

What is the molar heat capacity in J/(mol o C)

[0.466]

[22.3]

2. When 2.090 g of CaO were added to 100.0 mL of water at 22.5

29.8

o C. Determine the enthalpy change for the reaction:

CaO(s) + H

2

O(l)  Ca(OH)

2

(aq) ∆ H = ? kJ o C, the temperature rose to

[-83.5 kJ]

3. Determine the energy released in the reaction of 1.00 g of sodium with water.

2 Na(s) + 2 H

2

O(l)  H

2

(g) + 2 NaOH(aq) ∆ H = -368.4 kJ [8.01 kJ]

4. How much will the temperature of a 180 g cup of coffee at 95

spoon at 25 o C be reduced when a 45 g silver o C is placed in the coffee? The specific heat capacity of silver is 0.24 J/(g o C) [1.0 o C]

5. The body generates energy from food and fats by the same overall process as combustion.

Determine the energy per gram of glucose, C

6

H

12

O

6

, and the energy per gram of glyceryl

trimyristate (a fat), C

45

H

86

O

6

.

C

6

H

12

O

6

(s) + 6 O

2

(g)  6 CO

2

(g) + 6 H

2

O(l) ∆ H = -2803 kJ

C

45

H

86

O

6

+ 63.5 O

2

(g)  45 CO

2

(g) + 43 H

2

O(l) ∆ H = -27 820 kJ

[ 15.6 kJ/g; 38.5 kJ/g]

6. When 15.3 g of sodium nitrate were dissolved in water in a coffee-cup calorimeter, the temperature

fell from 25.00 to 21.56 o C. Determine the mass of water in the calorimeter.

NaNO

3

(s)  Na + (aq) + NO

3

(aq) ∆ H = + 20.5 kJ [241 g]

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