May 10, 2012 · Since the equilibrium quantity Q E 2 is smaller than Q E 1, and the total volume 20 gal of Tank 2 is smaller than that of Tank 1, we predict that Tank 2 will approach its equilibrium state more rapidly.
b. Find the values of Q1 and Q2 for which the system is in equilibrium---that is, does not change with time. Let QE1 and QE2 be the equilibrium values. Can you predict which tank will approach its equilibrium state more rapidly? c. Let x1 = Q1(t) − QE1 and x2 = Q2(t) − QE2 . Determine an initial value problem for x1 and x2.
Therefore the equilibrium solutions are Q E 1 = 42, Q 2 = 36. Compute Q01 and Q0 2 at the initial values, so Q0 1 (0) = 1.625,Q0 2 (0) = 2.5. The second tank will approach equilibrium more rapidly. (c) With the change of variables the system becomes: x0 1(t) = − x 1 10 + 3x 2 40, x (0) = −17 x0 2= x 1 10 − x 2 5, x (0) = −21. 8. Compute the Laplace transform of the function
Oct 20, 2014 · (b)Find the values of Q 1 and Q 2 for which the system is in equilibrium, that is, does not change with time. Let Q E 1 and Q E 2 be the equilibrium values. Can you predict which tank will approach its equilibrium state more rapidly? (c)Let x 1 = Q 1 (t)-Q E 1 and x 2 = Q 2 (t)-Q E 2. Determine an initial value problem for x 1 and x 2.
Since the law of mass action is the only equation we have to describe the relationship between Kc and the concentrations of reactants and products, any problem that requires us to solve for Kc must provide enough information to determine the reactant and product concentrations at equilibrium.
If we know the equilibrium constant for a reaction and know the concentrations at equilibrium of all reactants and products except one, we can calculate the missing concentration.
If we know the equilibrium constant for a reaction and a set of concentrations of reactants and products that are not at equilibrium, we can calculate the changes in concentrations as the system comes to equilibrium, as well as the new concentrations at equilibrium. The typical procedure can be summarized in four steps.
The ratios of the rate of change in concentrations of a reaction are equal to the ratios of the coefficients in the balanced chemical equation. The sign of the coefficient of X is positive when the concentration increases and negative when it decreases. We learned to approach three basic types of equilibrium problems.
when price is above equilibrium, then the quantity supplied would have increased and the quantity demanded would have decreased because the rise grew. this causes excess supply or a surplus. In order to return to equilibrium, the price would have to be lowered.
1. the number of workers. An increase in workers can make supply shift right, and this can be due to immigration, a population increase, and other factors.
For example, global warming, poverty, and other problems in the world involve economics. Second, we need to be able to vote intelligently, and knowing about economics makes people better thinkers.
scarcity means that human wants for goods, services, and resources exceed what is available. Two causes of scarcity could be not enough people in the population to produce labor or not enough places to grow crops, so then there is scarcity in crop foods.
Microeconomics is focused more on the actions of individuals in the economy. An example of individuals in the economy would be people in households, or workers, or businesses. Then, macroeconomics focuses on extensive issues, and it analyzes the economy in a whole.
1. traditional economy: organize economic affairs like they always have. Ex: occupations say in the family, etc. 2. command economy: economic effort is devoted to goals passed down from a ruler or ruling class. ex: ancient egypt- building pyramids.