# Equilibrium Temperature Calculation

1.) Calculate Ke for the following (equilibrium concentrations given below substances). See attached file for full problem description.

2.) For all three of the equilibria in problem #1 predict (1) how Ke is affected by an increase in temperature, (2) predict how the equilibrium will shift when pressure is decreased, (3) predict how the equilibrium will shift when the concentration of the underlined substance is increased, and (4) predict how the equilibrium will shift when the temperature is decreased.

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#### Solution Preview

DEAR STUDENT,

THE CURRENT ASSIGNMENT IS BASED ON LE-CHATELIER'S PRINCIPLE.I HAVE SOLVED THE ASSIGNMENT GIVING STEPWISE EXPLANATION.IN CASE YOU NEED REFERANCE/DETAILS OF THE PRINCIPLE THAN FOLLOW THE LINK GIVEN BELOW.

http://en.wikipedia.org/wiki/Le_Chatelier's_principle

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(a) N2(g) + O2(g) + heat 2NO(g)

(b) 2NH3(g) N2(g) + 3H2(g) + heat

(c) 2H2(g) + S2(g) + heat 2 H2S(g)

For all three of the equilibria in problem #1 predict

(a) N2(g) + O2(g) + heat 2NO(g)

(1) How Ke is affected by an increase in temperature.

Answer: Ke will increase, as reaction is endothermic (i.e., heat written along with reactants) in nature.

(2) Predict how the equilibrium will shift when pressure is decreased.

Answer: The change in pressure will have no effect on shifting of reaction equilibrium because number of moles of reactant in gaseous state is equal to number of products in ...

#### Solution Summary

The solution calculates the Ke for the equilibrium.

Heat Equation with Circular Symmetry : Total Heat Energy, Flow of Heat Energy and Equilibrium Temperature Distribution

8. Heat Equation with Circular Symmetry. Assume that the temperature is circularly symmetric:

u u(r,t), where r^2 x^2 | y^2. Consider any circular annulus a ≤ r ≤ b.

a) Show that the total heat energy is r π f^b_a cpurdr.

b) Show that the flow of heat energy per unit time out of the annulus at r b is: (see attachment for equation).

A similar results holds at r = a.

c) Assuming the thermal properties are spatially homogenous, use parts (a) and (b) to derive the circularly symmetric heat equation without sources: (see attachment for equation)

d) Find the equilibrium temperature distribution inside the circular annulus a ≤ r < b if the outer radius is insulated and the inner radius is at temperature T.