Tutorial Sheet- 4 (Physical Chemistry)

1. The temperature dependence of the vapour pressure of solid sulfur diox-

ide can be approximately represented by the relation log(p/Torr) =

10.5916-1871.2/(T/K) and that of liquid sulfur dioxide by log(p/Torr)

= 8.3186-1425.7/(T/K). Estimate the temperature and pressure of the

triple point of sulfur dioxide.

2. The enthalpy of vapourization of a certain liquid is found to be 14.4

kJ mol

1at 180K, its normal boiling point. The molar volumes of

the liquid and the vapour at the boiling point are 115 cm

3mol

1and

14.5 dm

3mol

1respectively. (a) Estimate dP/dT from the Clapeyron

equation and (b) the percentage error in its value if Clausius-Clapeyron

equation is used instead

3. The enthalpy of fusion of mercury is 2.292 kJ mol

1and its normail

freezing point is 234.3 K with a change in molar volume of +0.517 cm

3

mol

1on melting. At what temperature will the bottom of a column of

mercury (density 13.6g cm

3) of height 10.0 m be expected to freeze?

4. 50.0 dm

3of dry air was slowly bubbled through a thermally insulated

beaker containing 250 g of water initially at 25

C. Calculate the nal

temperature. (Vapour pressure of water is approximately constant at

3.17 kPa throughout, and its heat capacity is 75.5 J K

1mol

1. Assume

that the air is not heated or cooled and that water vapour is a perfect

gas.)

5. The volume of an aqueous solution of NaCl at 25

C was measured at

a series of molalities b, and it was found that the volume tted the

expressionv = 1003+16.62x+1.77x3/2+0.12x2 where v = V/cm3, V isthe volume of a solution formed from 1.000 kg of water, and x = b/b.Calculate the partial molar volume of the components in a solution of

molality 0.100 mol kg

1

6. In a study of the properties of an aqueous solution of Th(NO3)4, a

freezing point depression of 0.703K was observed for an aqueous solu-

tion of molality 96 mmol kg

1. What is the apparent number of ions

per formula unit? [Kf = 1.86K/ (mol kg1)]

1

7. Haemoglobin, the red blood protein responsible for oxygen transport,

binds about 1.34 cm

3of oxygen per gram. Normal blood has a haemoglobin

concentration of 150 g dm

3. Haemoglobin in the lungs is about 97

per cent saturated with oxygen, but in the capillary is only about 75

per cent saturated. What volume of oxygen is given up by 100 cm

3of

blood owing from the lungs in the capillary?

8. What proportion of hexane and heptane should be mixed by mole frac-

tion to achieve the greatest entropy of mixing?

9. For the equilibrium, N2O4(g) 2 NO2(g), the degree of dissociation,, at 298.15 K is 0.201 at 1.00 bar total presuure. Calculate K.

2