The van’t Hoff Equation is a mathematical relationship relating the equilibrium constant to the temperature of the system: lnKeq=-∆Horeaction/R(1/T) +∆Soreaction/R Where ΔHoreaction and ΔSoreaction are correspondently standard enthalpy and entropy changes of reaction and R is the universal gas constant (8.314 J mol-1k-1). The graphical interpretation of van’t Hoff Equation in form of the plot of lnKeq vs 1/T gives you an opportunity to determine both thermodynamic functions from the value of the equilibrium constant: the slope of this plot is equal to -ΔHoreaction/R and y-intercept – to ΔSoreaction/R. Note that your values will come in Joules and the temperature for all thermodynamics calculations should be converted to Kelvins. The student explored the famous Haber process: N2(g) + 3H2(g) => 2NH3(g), and obtained the following data for the equilibrium constant: Temperature, oC Equilibrium constant 25.00 3.86E+05 75.00 2.27E+03 125.0 4.04E+01 175.0 1.52E+00 225.0 8.37E-02 Assignment and Rubric: Use your Lab Report Template to answer the questions below. Follow all instructions to get full credit. Please answer the following questions: Make the necessary calculations and build the data table lnKeq vs 1/T Generate a graph of ln Keq – 1/T and report the trendline equation (5 pts) and R2. (1 pts) Using the slope calculate the enthalpy change, show your work, include, and report correct units. (3 pts) Using the y-intercept calculate the entropy change, show your work, include, and report correct units. ( 3pts) Assuming the accepted value for the standard enthalpy change at 500K to be -99.88 kJ, calculate the % error of the experiment? and explain the source of the error. (1pts) Embed your calculations to the Exam Calculations for 4 pts after you submitted this exam Results:trendline equation: R2: ΔH: ΔS: %Error:
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