Question

In: Chemistry

1.a) If ΔE > 0 then energy is being absorbed by the system. True False 1.b)...

1.a) If ΔE > 0 then energy is being absorbed by the system.

True

False

1.b) If ΔEsystem is positive then ΔEsurrounding must be:

negative

none of these

positive

zero

1.c) Consider the following chemical equation and calculate how much heat is released when 77.90 grams of C2H6 reacts.


2 C2H6 + 7 O2 --> 4 CO2 + 6 H2O                 ΔH = -385 kJ


- answer should read out to one place after the decimal
- do not include units

1.d) A 27.4 g cube of copper initially at 74.6 ºC is submerged into a cup filled with 121.4 grams of water at 13.6 ºC. Determine the final temperature of both substances at thermal equilibrium.

HINTS:      Specific heat of copper = 0.385 J/g × ºC    Specific heat of water = 4.184 J/g × ºC

- your answer should contain four significant figures.

1.e) Calculate the heat (in kJ) associated if 0.0107 kg of CH4 was used for the reaction:

CH4(g) + 2 O2(g)  --> CO2(g) + 2 H2O(g) ΔHrxn = -890 kJ

-report answer using three sig figs

Solutions

Expert Solution

1. (a) Here energy of product is more than energy of reactant. That means energy is absorbed during the reaction.

The statement is true.

(b ) The answer is: negative

(c) Molar mass of C2H6 is: 30 g/ mole

Moles of C2H6 = 77.90/ (30g/mole) = 2.60 moles

Energy released = - 385 kJ × (2.60 mole/ 2 mole) = - 500.5 kJ

(d) suppose the final temperature is X o C

Heat gained by water =H1 = mass of water × specific heat of water × ( Final temperature - Initial temperature) = 121.4 g × 4.184 J/ g o C × ( X - 13.6) o C = 508 × ( X - 13.6) joules

Heat released by copper = mass of copper × specific heat of copper × ( Final temperature - Initial temperature) = H2 = 27.4 g × 0.385 J/ g o C × ( X - 74.6) o C = 10.6 × (X - 74.6) joules

At thermal equilibrium; H1 = - H2

508× (X -13.6) = - 10.6× ( X -74.6)

Solving the equation; we get:

518.6 X = 7699.6

So; X = 14.85

So ; final temperature is 14.85 o C

(e) Molar mass of CH4 is 16 g/ mole

Mass of CH4 is 0.0107 kg = 10.7 g ( 1 kg = 1000 g)

Moles of CH4 = 10.7 g/ (16 g/ mole) = 0.69 mole

So; heat associated : - 890 kJ × (0.69 mole/ 1 mole) = - 614 kJ


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