Please explain clearly and with steps if possible! Thank you :) The equilibrium

Question

Please explain clearly and with steps if possible! Thank you :)

The equilibrium constant, K, of a certain first order reaction was measured at two temperatues, T. The data is shown in this table. Determine the rise, run, and slope of the line formed by these points. What is the standard enthalpy of this reaction? If you were going to graphically determine the enthalpy; deltaH9, for this reaction, what points would you plot? To avoid rounding errors, use three significant figures in the x values and four significant figures in the y values.

Explanation / Answer

point 1: x =(1/T)= 0.003636   y =lnk= 1.332

point 2 x =0.00129 , y= 2.18

rise = =2.18-1.332=0.848 and run= 0.003636-0.00129=0.002346

slope = rise/run= 0.848/0.002346=361.46

delH= R*361.46 ( R=8.314 joules/mole)

delH= 8.314*361.46=3005.178 J/mol

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