Can someone explain in detail how to do this problem? I don\'tunderstand how to
ID: 681381 • Letter: C
Question
Can someone explain in detail how to do this problem? I don'tunderstand how to do the slope and have it equal -2.09 x104 The rate constants for the decomposition of acetaldehyde were measured at five different temperatures. The data areshown in the table. Plot ln k versus 1/T and determine theactivation energy in kJ/mol for the reaction. Note that thereaction is "3/2" order in CH3CHO, so k has the units of1/M1/2 x s k(1/M1/2 xs) T(K) 0.011 700 0.035 730 0.105 760 0.343 790 0.789 810 lnk 1/T(K-1) -4.51 1.43x 10-3 -3.35 1.37x 10-3 -2.254 1.32x 10-3 -1.070 1.27x 10-3 -0.237 1.23x 10 ^-3 ANSWER : 1.74 x 102 kJ/molExplanation / Answer
The way that we do it in kinetics, which is included if cramsterwill allow it, is make an excell spreadsheet with the 1/T as the xvalues and the LN(K) as the y. Have excell perform linearregresion (add a linear trendline) and the slope will be equal toE/R, where R is the gas constant. The intercept will be yourpre-exponetial factor or K(To). Well it won'tallow me to paste the spreadsheet. but the slope I got is: -E/R=21620...E=21620*8.314kJ/kmol*1kmol/1000gmol=1.79*102kJ/mol.. Which only differs from the answer given by 3%. So I thinkit's good. I HOPE THIS HELPS!