U Exel to graph the data for diethyl ether as In vp v IT Ske
Solution
Prepare a table on ln v.p. vs 1/T as below.
v.p. (mmHg)
146
231
355
531
T (°C)
-5
5
15
25
T (K)
(-5 + 273) = 268
(5 + 273) = 278
(15 + 273) = 288
(25 + 273) = 298
ln v.p.
4.9836
5.4424
5.8721
6.2748
1/T (K-1)
0.00373
0.00360
0.00347
0.00335
Plot ln v.p. vs 1/T as below.
Plot on ln v.p. vs 1/T (K-1)
The regression equation is y = -3388.9x + 17.631 ……(1)
Since x has the unit 1/K and the left side is dimensionless, hence, the slope of the plot is -3388.9 K.
The integrated form of the Clasius-Clapeyeron equation is
ln v.p. = -Hv/R*(1/T) + C …….(2)
Comparing (1) and (2), we must have
-Hv/R = -3388.9 K
====> Hv = (3388.9 K)*R = (3388.9 K)*(8.314 J/mol.K)*(1 kJ/1000 J) = (28175.3146 J/mol)*(1 kJ/1000 J) = 28.1753146 kJ/mol 28.1753 kJ/mol (ans).
| v.p. (mmHg) | 146 | 231 | 355 | 531 |
| T (°C) | -5 | 5 | 15 | 25 |
| T (K) | (-5 + 273) = 268 | (5 + 273) = 278 | (15 + 273) = 288 | (25 + 273) = 298 |
| ln v.p. | 4.9836 | 5.4424 | 5.8721 | 6.2748 |
| 1/T (K-1) | 0.00373 | 0.00360 | 0.00347 | 0.00335 |

