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The shape of a PPF is commonly drawn as concave to the origin to represent increasing opportunity cost with increased output of a good. Thus, MRT increases in absolute size as one moves from the top left of the PPF to the bottom right of the PPF. [11] The marginal rate of transformation can be expressed in terms of either commodity.
The PPF and thus production will shift to point B. Production of clothing, the labour-intensive good, will rise from C 1 to C 2. Production of cars, the capital-intensive good, will fall from S 1 to S 2. If the endowment of capital rose the capital constraint would shift out causing an increase in car production and a decrease in clothing ...
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
An example PPF: points B, C and D are all productively efficient, but an economy at A would not be, because D involves more production of both goods. Point X cannot be achieved. Productive efficiency occurs under competitive equilibrium at the minimum of average total cost for each good, such as the one shown here.
The chemical system will attempt to partly oppose the change affected to the original state of equilibrium. In turn, the rate of reaction, extent, and yield of products will be altered corresponding to the impact on the system. This can be illustrated by the equilibrium of carbon monoxide and hydrogen gas, reacting to form methanol. C O + 2 H 2 ...
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.
With a model of the microscopic constituents of a system, one can calculate the microstate energies, and thus the partition function, which will then allow us to calculate all the other thermodynamic properties of the system. The partition function can be related to thermodynamic properties because it has a very important statistical meaning.
Productive capacity has a lot in common with a production possibility frontier (PPF) that is an answer to the question what the maximum production capacity of a certain economy is which means using as many economy’s resources to make the output as possible. In a standard PPF graph, two types of goods’ quantities are set.