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Mapd If you were going to graphically determine the enthalpy The equilibrium con

ID: 559036 • Letter: M

Question

Mapd If you were going to graphically determine the enthalpy The equilibrium constant, K, of a certain first order reaction was measured at two temperatures, T r, for this reaction, what points would you plot? The data is shown in this table Number Number To avoid rounding errors, use three T(K) K 325 3.62 575 8.57 point 1 significant figures in the x values and four Number Numbersignificant figures in the y values. point 2 Determine the rise, run, and slope of the line formed by these points ise run slope Number Number Number What is the standard enthalpy of this reaction? Number J/mol

Explanation / Answer

We need to plot lnK on y axis and 1/T on x axis

K = 3.62

ln K = ln (3.62) = 1.28647

T = 325.0

1/T = 0.00308

point 1 is:

x = 0.00308

y = 1.28647

K = 8.57

ln K = ln (8.57) = 2.14827

T = 575.0

1/T = 0.00174

point 2 is:

x = 0.00174

y = 2.14827

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rise = (y1-y2) = 1.28647 - 2.14827 = -0.86179

rise = (X1-X2) = 0.00308 - 0.00174 = 0.00134

slope = rise/run

= -0.86179/0.00134

= -644.1908

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use

slope = - deltaHo/R

= -644.1908 = -deltaHo/8.314

deltaHo = 5356 J/mol

Answer: 5356 J/mol

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