Humidity and Psychrometric Chart thermo lecture 4

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Questions and Answers

If the partial pressure of water vapor in the air remains constant, what happens to the dew-point temperature as the air temperature increases?

  • The dew-point temperature remains constant. (correct)
  • The dew-point temperature decreases.
  • The dew-point temperature increases proportionally.
  • The dew-point temperature approaches the air temperature.

A sealed container contains air and water vapor. If the temperature of the container is increased, what happens to the saturated vapor pressure inside the container?

  • It remains the same because the amount of water vapor is fixed.
  • It fluctuates randomly depending on air currents.
  • It increases because higher temperature allows more water molecules to enter the vapor phase. (correct)
  • It decreases because the air expands, lowering the water vapor concentration.

Which modification would directly reduce the amount of moisture condensation on walls in a flat?

  • Cool the walls to encourage condensation in a controlled area.
  • Increase the surface temperature of the walls. (correct)
  • Decrease the ventilation to minimize air exchange with the outside.
  • Increase the relative humidity of the air in the flat.

How does the human body primarily utilize the latent heat of water for thermoregulation?

<p>By using it to evaporate sweat, thus cooling the skin (D)</p> Signup and view all the answers

Given that the saturated vapor pressure of water at 20°C is approximately 2.3 kPa and at 30°C is approximately 4.2 kPa, what can be inferred about the relationship between temperature and saturated vapor pressure?

<p>The relationship is exponential; vapor pressure increases more rapidly at higher temperature. (D)</p> Signup and view all the answers

If the air pressure in a closed room increases but the amount of water vapor remains constant, what will happen to the moisture content?

<p>The moisture content will decrease because the ratio of water vapor to dry air decreases. (D)</p> Signup and view all the answers

In a scenario where the partial pressure of water vapor in the air is close to the saturated vapor pressure at the existing temperature, what physiological effect would be most likely?

<p>Decreased efficiency of sweat evaporation, reducing cooling. (A)</p> Signup and view all the answers

Which strategy is most effective for preventing excessive moisture build-up in a poorly ventilated room during cold weather?

<p>Using a dehumidifier to reduce the moisture content of the air. (C)</p> Signup and view all the answers

Air at a certain temperature has a relative humidity of 50%. If the amount of water vapor in the air remains constant and the temperature decreases, what happens to the relative humidity?

<p>It increases because the saturation vapor pressure decreases. (A)</p> Signup and view all the answers

Why does the evaporation of sweat provide a cooling effect for the human body?

<p>Evaporation requires energy, which is absorbed from the body's surface. (A)</p> Signup and view all the answers

How does increasing atmospheric vapor pressure affect the rate of sweat evaporation from the skin?

<p>It decreases the rate of evaporation by reducing the concentration gradient. (C)</p> Signup and view all the answers

What is the primary purpose of the psychrometric chart?

<p>To determine the moisture content and other thermodynamic properties of air. (A)</p> Signup and view all the answers

Under what conditions will the dew-point temperature be equal to the air temperature?

<p>When the air is saturated with water vapor. (D)</p> Signup and view all the answers

If the temperature of a closed container of air increases, and no additional water vapor is added, what happens to the relative humidity inside the container?

<p>It decreases because the saturation vapor pressure increases. (D)</p> Signup and view all the answers

For a closed system containing only air and water vapor, what is the relationship between total pressure ((P_t)), partial pressure of water vapor ((P_w)), and partial pressure of dry air ((P_a))?

<p>$P_t = P_w + P_a$ (A)</p> Signup and view all the answers

Given two air masses at the same temperature, one with a high moisture content and one with a low moisture content, which air mass will have the higher dew-point temperature?

<p>The air mass with high moisture content, because less cooling is needed to reach saturation. (B)</p> Signup and view all the answers

What does the term 'dry-bulb temperature' typically refer to when used in the context of psychrometrics?

<p>The temperature of air excluding the effect of moisture. (A)</p> Signup and view all the answers

In the context of moisture content of air, what do (M_w) and (M_a) represent, respectively, in the equation describing moisture content?

<p>Molar mass of water and molar mass of air. (C)</p> Signup and view all the answers

According to the provided information, what value is used for the molar mass of water (M_w) in calculations related to moisture content of air?

<p>18 g/mol (D)</p> Signup and view all the answers

What is the significance of the triple point on a pressure-temperature (P-T) diagram for water?

<p>It represents the unique temperature and pressure at which water can exist in solid, liquid, and gaseous phases in equilibrium. (C)</p> Signup and view all the answers

Flashcards

Humidity

The amount of water vapor present in the air.

Psychrometric chart

A chart used to determine the properties of moist air.

Dew Point Temperature

The temperature to which air must be cooled to become saturated with water vapor.

Moisture content

The mass of moisture per kg of dry air.

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Dry-bulb temperature

Normal air temperature.

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Relative humidity

Ratio of actual to max water vapor pressure.

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Study Notes

  • Water vapor in the air, humidity, and the psychrometric chart will be discussed

Lecture Objectives

  • Quantities to describe water vapor-dry air mixtures, including dew-point temperature and moisture content, will be covered
  • These quantities will be related to the concept of vapor pressure
  • The psychrometric chart will be used to measure water vapor-dry air mixtures

Water Vapor in the Air

  • The human body contains millions of sweat glands
  • The body can produce up to 3 liters of sweat per hour
  • Evaporation of sweat, consisting mostly of water, regulates body temperature
  • This makes use of the latent heat of water
  • High atmospheric vapor pressure can impede sweat evaporation

Dew Point Temperature

  • The partial pressure of water vapor in the air is generally less than the saturated vapor pressure of water at the air temperature
  • The partial pressure of water vapor in the atmosphere equals the saturated vapor pressure of water at a lower temperature
  • Condensation or dew forms on the surface when cooling it
  • The creation of dew happens at the dew-point temperature

Vapor Pressure of Water

  • The vapor pressure of water doubles approximately every 10°C for temperatures between 0°C and 30°C

Moisture Content of Air

  • Moisture content of air measures the mass of moisture per kg of dry air
  • It is also known as absolute humidity or the humidity ratio
  • We can find this from the ideal gas law PV=nRT using n=m/M
  • The mass of dry air is ma = (MaPaV) / (RT)

Moist Air Continued

  • mw / ma = (Mw Pw) / (Ma Pa)
  • Mw is molar mass of water [18 g/mol]
  • Ma is molar mass of air [28.97 g/mol]
  • Pw is partial pressure of water
  • Pa is partial pressure of air
  • The sum of partial pressures equals total pressure: Pw + Pa = Pt, so that Pa = Pt - Pw
  • mw / ma = 0.621 Pw / (Pt - Pw)
  • Pw is the partial pressure of water
  • Pt is the total pressure
  • Typically Pw << Pt, mw / ma ≈ 0.621 Pw / Pt, where moisture content is directly proportional to the partial pressure of water vapor

Example

  • Saturated vapor pressure for water is 4.24 kPa at 30 °C
  • Question for the viewer: What is the moisture content for air when the dew-point temperature is 30 °C and the air pressure is 101.3 kPa?

Psychrometric Chart

  • Displays the properties of moist air in a composite graph
  • Normal air temperature to distinguish it from dew-point temperature is called dry-bulb temperature
  • Measuring dew-point temperature requires cooling a surface until dew condenses
  • Assuming normal atmospheric pressure of 101.3 kPa, air serves its purpose

Absolute Humidity

  • Absolute humidity is (18 x 10^-3 Pw)/ (28.97 x 10^-3 (Pt - Pw)) = 0.621 x (Pw / (Pt - Pw))
  • If dew point temperature is known, Pw moisture content, absolute humidity, and humidity ratio can be determined

Relative Humidity

  • Temperature of dew-point is less than the air temperature
  • Actual vapor pressure is less than the maximum achievable at the air temperature
  • RH = (Actual partial vapor pressure of water) / (Saturated vapor pressure at the same temperature)
  • Psychrometric chart displays relative humidity using air temperature and the moisture content

Example #2

  • Dew-point temperature is 20°C, dry-bulb temperature is 35°C
  • Question for the viewer: Find the realtive humidity

Example #3

  • The temperature in a student flat is 15 °C with a relative humidity of 80%
  • Mould growths are likely to occur if the walls regularly get wet through moisture condensation
  • Question for the viewer: How cold can the walls get to avoid condensation and associated health risks?

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