Read each of the following problems and select a suitable basis for solving each one. Do not solve the problems.
a. You have 130 kg of gas of the following composition: 40% N2, 30% CO2, and 30% CH4 in a tank. What is the average molecular weight of the gas?
b. You have 25 lb of a gas of the following composition: 80%, 10%, 10%. What is the average molecular weight of the mixture? What is the weight (mass) fraction of each of the components in the mixture?
c. The proximate and ultimate analysis of coal is given in the following table. What is the composition of the “Volatile combustible material” (VCM)? Present your answer in the form of the mass percent of each element in the VCM.
Proximate Analysis (%)
Ultimate Analysis (%)
Moisture
3.2
Carbon
79.90
Volatile combustible material
21.0
Hydrogen
4.85
Fixed carbon
69.3
Sulfur
0.69
Ash
6.5
Nitrogen
1.30
Ash
6.50
Oxygen
6.76
Total
100.0
Total
100.00
d. A fuel gas is reported to analyze, on a mole basis, 20% methane, 5% ethane, and the remainder CO2. Calculate the analysis of the fuel gas on a mass percentage basis.
e. A gas mixture consists of three components: argon, B, and C. The following analysis of this mixture is given: 40.0 mol % argon, 18.75 mass % B, 20.0 mol % C. The molecular weight of argon is 40 and the molecular weight of C is 50. Find (1) the molecular weight of B and (2) the average molecular weight of the mixture.
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