Page 266 - Thermodynamics of Biochemical Reactions

266 Mathematica Solutions to Problems

AG

I " ' ' ," T/K
280 290 300 310 320

I
Plot [Exp[lnk] , {t, 273.15,323.15} ,AxesOrigin->{270,. 0000164) ,AxesLabel->{"T/K", "K") ;

0.0000176-

0.0000174-

0.0000172-

-
0.000017
0.0000168-

0.0000166.
I ''280' ' " " 300 . " ' 310 320 T/K

290
"
"
"\
3.5 (a) Calculate the function of T that gives the values of the Debye-Huckel constant (Y at the temperatures in Table 3.1 in
Section 3.7. Plot the data and the function. (b) Calculate the function of T for RTa. (c) Calculate the function of T for
RT2 (&/dT), . (d) Use these functions to calculate these coefficients at 0, 10, 20, 25, 30, and 40 O C.

(a) The Debye-Huckel constant (Y as a function of temperature:

data=~~273.15,1.12938),C283.15,1.14717~,~293.15,1.16598},{298.15,1.17582~,{303.15,1.185
99},{313.15,1.20732})
CC273.15, 1.129381, I283.15, 1.147171, I293.15, 1.165981, C298.15, 1.17582), C303.15, 1
C313.15, 1.20732}}

TableForm [data]