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Physical Chemistry 2 HW3 Solution

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Physical Chemistry 2 HW 3 Solution

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CHEM 341 Spring 2023 Homework 3




Chapter 3
Name: ID:

Answer the following questions showing your detailed answers; formulas, calculations and units.

1. The adsorption of a gas is described by the Langmuir isotherm with K = 0.75 kPa−1 at 25 °C. Calculate the
pressure at which the fractional surface coverage is (i) 0.15, (ii) 0.95.




2. The volume of gas at 20 °C and 1.00 bar adsorbed on the surface of 1.50 g of a sample of silica at 0 °C was
1.52 cm3 at 56.4 kPa and 2.77 cm 3 at 108 kPa. Assume that the Langmuir isotherm applies and estimate the
value of Vm.




1
CHEM 341 Homework 3

, 3. The data below are for the chemisorption of H2 (g) on Cu powder at 25 °C.
P (Pa) Vads (cm3)
25 0.042
129 0.163
253 0.221
540 0.321
(a) Confirm that the data fit the Langmuir isotherm at low coverages.
(b) Calculate K for the adsorption equilibrium and the adsorption volume corresponding to complete
coverage.




a)




1/KVm KVm K
intercept
548.07 0.001825 0.003894
b) 1/Vm Vm
slope
2.134 0.468604




2
CHEM 341 Homework 3

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