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Ideal Gas Mixtures and Psychrometrics Applications

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Questions

Question 1

What does a gravimetric analysis of a mixture provide?

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Question 2

A gas mixture has the following molar analysis: CO2, 10 percent; H2O, 15 percent; O2, 5 percent; N2, 70 percent. What is the apparent molecular weight of the mixture in kg/kmol? Use approximate molecular weights: CO2=44, H2O=18, O2=32, N2=28.

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Question 3

What is the core assumption of the Dalton model for an ideal gas mixture?

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Question 4

An ideal gas mixture at a total pressure of 150 kPa has a mole fraction of oxygen of 0.21. According to the Dalton model, what is the partial pressure of the oxygen?

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Question 5

How is the partial volume of a component in an ideal gas mixture defined according to the Amagat model?

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Question 6

For an ideal gas mixture, how are the specific heats on a molar basis, cv and cp, determined?

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Question 7

When evaluating the entropy of an ideal gas mixture, at what conditions is the entropy of each component evaluated?

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Question 8

What is the study of systems involving mixtures of dry air and water vapor known as?

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Question 9

How is the humidity ratio, omega, of a moist air sample defined?

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Question 10

Moist air at 1 bar has a partial pressure of water vapor of 0.02 bar. What is its humidity ratio, omega, in kg water vapor/kg dry air? (Molecular weight of water is 18.0, molecular weight of dry air is 28.97)

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Question 11

What is the dew point temperature?

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Question 12

Moist air at 25 C has a relative humidity of 60 percent. The saturation pressure of water at 25 C is 0.03169 bar. What is the dew point temperature of this air sample?

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Question 13

In the context of psychrometrics, what does 'saturated air' signify?

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Question 14

What is the relationship between the wet-bulb temperature and the dry-bulb temperature for unsaturated air?

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Question 15

In an air-conditioning process, moist air is heated at constant pressure with no moisture added or removed. What happens to its humidity ratio and relative humidity?

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Question 16

A stream of moist air at 5 C and 1 bar has a mass flow rate of 180 kg/min and a humidity ratio of 0.002 kg/kg. It is mixed adiabatically with a second stream at 24 C and 1 bar with a mass flow rate of 497 kg/min and a humidity ratio of 0.0094 kg/kg. What is the humidity ratio of the exiting mixed stream?

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Question 17

What is the primary mechanism of cooling in an evaporative cooler?

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Question 18

What is the primary purpose of a cooling tower?

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Question 19

The mass fraction of component 'i' in a mixture is defined by which of the following ratios?

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Question 20

A gas mixture has a gravimetric analysis of 10 percent H2, 60 percent N2, and 30 percent CO2. What is the mole fraction of H2 in this mixture? (Approximate molecular weights: H2=2, N2=28, CO2=44)

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Question 21

In a process where a moist air stream is cooled at constant pressure from 21 C to 5 C, causing some water to condense, what is the state of the water vapor in the air at the final state of 5 C?

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Question 22

When cooling a moist air mixture in a rigid, closed vessel of constant volume, at what temperature does condensation begin?

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Question 23

Three factors contribute to the production of entropy in mixing processes. Which of the following is NOT one of those factors?

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Question 24

How is the enthalpy of a moist air mixture per unit mass of dry air (h_a + omega * h_v) commonly evaluated for the water vapor component (h_v) in psychrometric applications?

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Question 25

What is the primary function of the makeup water added to a cooling tower?

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Question 26

In the general energy balance for an open air-conditioning system, 0 = Q_cv + m_a*(h_a1 - h_a2) + m_v1*h_v1 - m_v2*h_v2 + m_w*h_w, what does the term m_w represent?

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Question 27

Which property remains nearly constant along the lines of constant wet-bulb temperature on a psychrometric chart?

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Question 28

An ideal gas mixture consists of 0.3 kg of CO2 and 0.2 kg of N2. What is the total number of moles in the mixture? (Molecular weights: CO2=44, N2=28)

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Question 29

A mixture of 0.8 mole fraction CO2 and 0.2 mole fraction O2 expands isentropically through a nozzle from 700 K and 5 bars to 1 bar. The final temperature is 517.6 K. What is the change in specific entropy for the O2 component in kJ/kmol K? (s_O2 at 700 K = 231.358; s_O2 at 517.6 K = 221.667; R = 8.314)

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Question 30

What is the reason that the Amagat model's relationship between volume fraction and mole fraction (Vi/V = yi) underlies the term 'volumetric analysis'?

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Question 31

How is the change in internal energy (Delta U) for an ideal gas mixture undergoing a process at constant composition calculated?

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Question 32

What is the key difference in calculating the enthalpy change versus the entropy change for a component in an ideal gas mixture process?

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Question 33

Two rigid, insulated tanks are interconnected by a valve. One contains 0.79 kmol of N2 at 2 bars and 250 K. The other contains 0.21 kmol of O2 at 1 bar and 300 K. The valve is opened and the gases mix. What is the final temperature of the mixture? (Use cv,N2 = 20.82 kJ/kmol K and cv,O2 = 20.99 kJ/kmol K)

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Question 34

For a dehumidification process, how is the mass flow rate of the condensed water (m_w) related to the humidity ratios (omega) and the mass flow rate of dry air (m_a)?

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Question 35

What does a volumetric analysis of a mixture provide?

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Question 36

Moist air enters a steam-spray humidifier at 22 C. Saturated water vapor at 110 C is injected. If the process is adiabatic, what changes occur in the humidity ratio and dry-bulb temperature of the air?

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Question 37

If you use the psychrometric chart (Fig. A-9) for an air sample with a dry-bulb temperature of 20 C and a wet-bulb temperature of 15 C, what is the approximate relative humidity?

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Question 38

On a standard psychrometric chart, what do the horizontal lines represent?

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Question 39

Why is the change in specific entropy for an ideal gas mixture undergoing a constant-composition process dependent on the ratio of mixture pressures (p2/p1) rather than partial pressures?

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Question 40

The mixture enthalpy on a psychrometric chart is given per unit mass of what substance?

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Question 41

What is the apparent molecular weight M of a mixture if its total mass is 100 kg and it contains 7.82 kmol of substance?

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Question 42

If two different ideal gases, both initially at the same temperature and pressure, are mixed adiabatically, will entropy be produced?

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Question 43

A dehumidifier cools moist air from 30 C to 10 C at a constant pressure of 1.013 bar. The initial humidity ratio is 0.0133 and the final is 0.0076. What is the amount of water condensed per kg of dry air?

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Question 44

What is the defining characteristic of an evaporative cooling process on a psychrometric chart?

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Question 45

A gas mixture contains components A and B. If the mass fraction of A (mf_A) is 0.5 and the mole fraction of A (y_A) is 0.5, what must be true about the molecular weights of A and B?

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Question 46

A closed system consisting of 0.5 kg of a CO2 and N2 mixture is compressed in a polytropic process where n=1.25. The initial state is 1 bar, 300 K and the final pressure is 3 bar. The apparent molecular weight is 35.97. What is the work done in kJ?

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Question 47

Relative humidity is the ratio of the mole fraction of water vapor in a moist air sample to the mole fraction in a saturated sample at the same temperature and pressure. How else can it be expressed?

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Question 48

An air stream at 32 C is mixed with an oxygen stream at 127 C. The final mixture temperature is 47 C. The mass flow rate of the air is 114.29 kg/min. What is the mass flow rate of the oxygen? (h_air at 47C = 320.29, h_air at 32C = 305.22; h_O2 at 127C = 11711/32, h_O2 at 47C = 9325/32; all in kJ/kg)

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Question 49

When an ideal gas mixture's properties are evaluated on a mass basis, how are molar properties converted?

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Question 50

A dehumidifier operates at a constant pressure of 1.013 bar. Air enters at 30 C, 50 percent relative humidity (omega = 0.0133) and exits as saturated air at 10 C (omega = 0.0076). The enthalpy of entering moist air is 64.1 kJ/kg dry air and the enthalpy of exiting moist air is 29.5 kJ/kg dry air. The enthalpy of the liquid condensate is 42.01 kJ/kg. What is the heat transfer from the moist air, in kJ per kg of dry air?

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