In: Chemistry
Part A
When 10.00 g of phosphorus is burned in O2(g) to form P4O10(s), enough heat is generated to raise the temperature of 2960 g of water from 18.0 ∘C to 38.0 ∘C.
Calculate the heat of formation of P4O10(s) under these conditions.
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ΔHf = | kJ/mol |
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Part B
Instant cold packs that are used to ice athletic injuries on the field contain ammonium nitrate and water separated by a thin plastic divider. When the divider is broken, the ammonium nitrate dissolves according to the following endothermic reaction:
NH4NO3(s)→NH4+(aq)+NO3−(aq)
To measure the enthalpy change for this reaction, 1.25 g of NH4NO3 is dissolved in enough water to make 25.0 mL of solution. The initial temperature is 25.8∘C and the final temperature (after the solid dissolves) is 21.9∘C.
Calculate the change in enthalpy for the reaction. (Use 1.0 g/mL as the density of the solution and 4.18 J/(g⋅∘C) as the specific heat capacity.)
Express the enthalpy change in kilojoules per mole to two significant figures.
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ΔHrxn = | kJ/mol |
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Part C
What is the mass of the silver block?
Express your answer with the appropriate units.
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mAg = |
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Part D
A silver block, initially at 68.1 ∘C, is submerged into 100.0 g of water at 24.6 ∘C in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 26.6 ∘C.
What is the mass of the silver block?
Express your answer with the appropriate units.
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mAg = |
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Part E
LP gas burns according to this exothermic reaction:
C3H8(g)+5O2(g)→3CO2(g)+4H2O(g)ΔH∘rxn=−2044kJ
What mass of LP gas is necessary to heat 1.6 L of water from room temperature (25.0 ∘C) to boiling (100.0 ∘C)? Assume that during heating, 16 % of the heat emitted by the LP gas combustion goes to heat the water. The rest is lost as heat to the surroundings.
Express your answer using two significant figures.
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m = | g |
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Part F
A 2.51 g lead weight, initially at 10.6 ∘C, is submerged in 7.86 g of water at 52.4 ∘C in an insulated container.
What is the final temperature of both the weight and the water at thermal equilibrium?
Express the temperature in Celsius to three significant figures.
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T = | ∘C |
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(Both G and H)
Ethanol can be made from the fermentation of crops and is used as a fuel additive to gasoline.
Part G
Write a balanced equation for the combustion of ethanol (assume the water as a product of reaction to be gaseous).
Express your answer as a chemical equation. Identify all of the phases in your answer.
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Part H
Calculate ΔH∘rxn.
Express your answer using four significant figures.
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ΔH∘rxn = | kJ |
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part A
P4(s) + 5O2(g) -----> P4O10(s)
no of mol of P4 = 10/124 = 0.0806 mol
heat released(q) = m*s*DT
= 2960*4.184*(38-18)
= 247692.8
= 247.693 kj
DH0f = - q/n = - 247.693/0.0806
= -3073.11 kj/mol
part B
NH4NO3(s)→NH4+(aq)+NO3−(aq)
heat absorbed(q) = m*s*DT
= 25*4.184*(25.8-21.9)
= 0.408 kj
no of mol of NH4NO3 = W/MWT = 1.25/80 = 0.0156 mol
DH0rxn = +q/n
= +0.408/0.0156
= +26.154 Kj/mol
part C
heat lost by silver block = heat gained by water
mass of silver*s*DT = mass of water*s*DT
m*0.233*(68.1-26.6) = 100*4.184*(26.6-24.6)
m = mass of silver = 86.54 g