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The production-possibility frontier can be constructed from the contract curve in an Edgeworth production box diagram of factor intensity. [12] The example used above (which demonstrates increasing opportunity costs, with a curve concave to the origin) is the most common form of PPF. [ 13 ]
For a reversible reaction, the equilibrium constant can be measured at a variety of temperatures. This data can be plotted on a graph with ln K eq on the y-axis and 1 / T on the x axis. The data should have a linear relationship, the equation for which can be found by fitting the data using the linear form of the Van 't Hoff equation
(This can be obtained by setting F = 0 in their respective PPF equations and summing them up). Here the slope of the joint PPF is −1/2. Here the slope of the joint PPF is −1/2. If we want more fish, we should shift that person who has a comparative advantage in fish hunting (i.e. Friday) out of coconut gathering and into fish hunting.
When it produces at point B, it can trade with the other country and consume at point S. We now look at our Offer curve and draw a ray at the level 5 Y for 7 X. When full specialization occurs, K then produces at point A, trades and then consumes at point T. The price has reduced to 1 Y for 1 X, and the economy is now at equilibrium.
The reversible reaction N 2 O 4 (g) ⇌ 2NO 2 (g) is endothermic, so the equilibrium position can be shifted by changing the temperature. When heat is added and the temperature increases, the reaction shifts to the right and the flask turns reddish brown due to an increase in NO 2. This demonstrates Le Chatelier's principle: the equilibrium ...
An equilibrium state is mathematically ascertained by seeking the extrema of a thermodynamic potential function, whose nature depends on the constraints imposed on the system. For example, a chemical reaction at constant temperature and pressure will reach equilibrium at a minimum of its components' Gibbs free energy and a maximum of their entropy.
In 1884, Jacobus van 't Hoff proposed the Van 't Hoff equation describing the temperature dependence of the equilibrium constant for a reversible reaction: = where ΔU is the change in internal energy, K is the equilibrium constant of the reaction, R is the universal gas constant, and T is thermodynamic temperature.
In physical chemistry, the Arrhenius equation is a formula for the temperature dependence of reaction rates.The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist Jacobus Henricus van 't Hoff who had noted in 1884 that the van 't Hoff equation for the temperature dependence of equilibrium constants suggests such a formula for the rates of both forward and ...