Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 20, Problem 53PQ
To determine
The relative humidity of the air.
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What is the density of water vapor in the air on a hot, dry day in the desert when the temperature is 40.0 °C and the relative
humidity is 5.00 %? The vapor pressure of water at 40.0 °C is Py = 7.34 x 10° Pa and the molecular mass of water is
M = 18.0 g/mol. Enter your answer in units of grams per cubic meter.
density:
g/m3
The vapor pressure of water at 10 °C is 1300 Pa. (a) What percentage of atmospheric pressure is this? Take atmospheric pressure to be
1.013 x 105 Pa. (b) What percentage of the total air pressure at 10 °C is due to water vapor when the relative humidity is 100%? (c) The
vapor pressure of water at 30 °C is 4300 Pa. What is the relative humidity at this temperature if the partial pressure of water in the air
has not changed from what it was at 10 °C when the relative humidity was 100%?
(a) Percentage = Number i
(b) Percentage = Number ₁
(c) Percentage = Number i
Units
Units
Units
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The vapor pressure is the pressure of the vapor phase of a
substance when it is in equilibrium with the solid or liquid phase of the
substance. The relative humidity is the partial pressure of water vapor in the air
divided by the vapor pressure of water at that same temperature, expressed as a
percentage. The air is saturated when the humidity is 100%. (a) The vapor
pressure of water at 20.0°C is 2.34 × 10³ Pa. If the air temperature is 20.0°C and
the relative humidity is 60%, what is the partial pressure of water vapor in the
atmosphere (that is, the pressure due to water vapor alone)?
Chapter 20 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 20.2 - In Example 20.1, we found that the rms value of a...Ch. 20.3 - If the temperature of a gas is doubled, what...Ch. 20.3 - Prob. 20.3CECh. 20.5 - Prob. 20.4CECh. 20.7 - Prob. 20.5CECh. 20.8 - Prob. 20.6CECh. 20 - Prob. 1PQCh. 20 - Prob. 2PQCh. 20 - Prob. 3PQCh. 20 - Prob. 4PQ
Ch. 20 - Prob. 5PQCh. 20 - Prob. 6PQCh. 20 - Prob. 7PQCh. 20 - Prob. 8PQCh. 20 - Particles in an ideal gas of molecular oxygen (O2)...Ch. 20 - Prob. 10PQCh. 20 - Prob. 11PQCh. 20 - Prob. 12PQCh. 20 - Prob. 13PQCh. 20 - Prob. 14PQCh. 20 - The mass of a single hydrogen molecule is...Ch. 20 - Prob. 16PQCh. 20 - The noble gases neon (atomic mass 20.1797 u) and...Ch. 20 - Prob. 18PQCh. 20 - Prob. 19PQCh. 20 - Prob. 20PQCh. 20 - Prob. 22PQCh. 20 - Prob. 23PQCh. 20 - Prob. 24PQCh. 20 - Prob. 25PQCh. 20 - Prob. 26PQCh. 20 - Prob. 27PQCh. 20 - Prob. 28PQCh. 20 - Consider the Maxwell-Boltzmann distribution...Ch. 20 - Prob. 30PQCh. 20 - Prob. 31PQCh. 20 - Prob. 32PQCh. 20 - Prob. 33PQCh. 20 - Prob. 34PQCh. 20 - Prob. 35PQCh. 20 - Prob. 36PQCh. 20 - Prob. 37PQCh. 20 - Prob. 38PQCh. 20 - Prob. 39PQCh. 20 - Prob. 40PQCh. 20 - Prob. 41PQCh. 20 - Prob. 42PQCh. 20 - Prob. 43PQCh. 20 - Prob. 44PQCh. 20 - Figure P20.45 shows a phase diagram of carbon...Ch. 20 - Prob. 46PQCh. 20 - Prob. 47PQCh. 20 - Consider water at 0C and initially at some...Ch. 20 - Prob. 49PQCh. 20 - Prob. 50PQCh. 20 - Prob. 51PQCh. 20 - Prob. 52PQCh. 20 - Prob. 53PQCh. 20 - Prob. 54PQCh. 20 - Prob. 55PQCh. 20 - Prob. 56PQCh. 20 - Consider again the box and particles with the...Ch. 20 - Prob. 58PQCh. 20 - The average kinetic energy of an argon atom in a...Ch. 20 - For the exam scores given in Table P20.60, find...Ch. 20 - Prob. 61PQCh. 20 - Prob. 62PQCh. 20 - Prob. 63PQCh. 20 - Prob. 64PQCh. 20 - Prob. 65PQCh. 20 - Prob. 66PQCh. 20 - Determine the rms speed of an atom in a helium...Ch. 20 - Consider a gas filling two connected chambers that...Ch. 20 - Prob. 69PQCh. 20 - Prob. 70PQCh. 20 - A 0.500-m3 container holding 3.00 mol of ozone...Ch. 20 - Prob. 72PQCh. 20 - Prob. 73PQ
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The vapor pressure of water at 40.0ºC is 7.34×103 N/m2. Using the ideal gas law, calculate the density of water vapor in g/m3 that creates a partial pressure equal to this vapor pressure. The result should be the same as the saturation vapor density at that temperature (51.1 g/m3 ).arrow_forwardLate on an autumn day, the relative humidity is 32.0% and the temperature is 20.0°C. What will the relative humidity be that evening when the temperature has dropped to 10.0°C, assuming constant water vapor density? Take the saturation vapor density at 20.0°C to be 17.2 g/m³ and at 10.0°C to be 9.40 g/m³. %arrow_forwardAir in human lungs has a temperature of 37.0°C and a saturation vapor density of 44.00 g/m3. (a)If 1.700 L of air is exhaled and very dry air inhaled, what is the maximum loss of water vapor in grams by the person? ____________g (b)Calculate the partial pressure of water vapor having this density, and compare it with the vapor pressure of 6.31 ✕ 103 N/m2. _________________N/m2arrow_forward
- The table given shows the vapor pressure of water at 20.0ºC as 2.33×103 Pa. Use the ideal gas law to calculate the density of water vapor in g /m3 that would create a partial pressure equal to this vapor pressure. Compare the result with the saturation vapor density given in the table.arrow_forwardWhat is the density of water vapor in g/m3 on a hot dry day in the desert when the temperature is 40.0ºC and the relative humidity is 6.00%?arrow_forwardThe vapor pressure of water at 40.0oC is 7.34 X 103 N/m2. Using the ideal gas law, calculate the density of water vapor in g/m3 that creates a partial ressure equal to this vapor pressure. The result should be the same as the saturation vapor density at that temperature (51.1 g/m3)arrow_forward
- What is the relative humidity on a 30.0 °C day when the air contains 12 g/m³ of water vapor? The vapor pressure of water at 30.0 °C is Py = 4.24 × 10 Pa and the molecular mass of water is M = 18.0 g/mol. % relative humidity:arrow_forward450 cm3 of air is measured at a pressure of 740 mm Hg absolute, with a temperature of 20°C. What is the volume, cm3 of the given air at 800 mm Hg absolute and 15°C?arrow_forwardIf the density of water at the top of a lake is 1.0020g/cm3, what is the density of the water at the bottom of the lake, 130 m deep? Assume that the water temperature is just above 0C throughout the lake.arrow_forward
- Air in human lungs has a temperature of 37.0ºC and a saturation vapor density of 44.0 g/m3 . (a) If 2.00 L of air is exhaled and very dry air inhaled, what is the maximum loss of water vapor by the person? (b) Calculate the partial pressure of water vapor having this density, and compare it with the vapor pressure of 6.31×103 N/m2.arrow_forwardOn a certain day, the temperature is 25.0°C and the relative humidity is 78.0%. How many grams of water must condense out of each cubic meter of air if the temperature falls to 15.0°C? Such a drop in temperature can, thus, produce heavy dew or fog. Take the saturation vapor density at 25.0°C to be 23.0 g/m3 and at 15.0°C to be 12.8 g/m3arrow_forwardA parcel of air with a volume of 7.3 x 104 km3 rises to an altitude where all the water in the parcel condenses and increases the temperature of the parcel by 4.7⁰C. What is the mass of water vapor in the parcel of air? Assume the density of the air at the condensation altitude is 8.1 x 102 g/m3.arrow_forward
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