Explanation Given: Volume of the new house = 800 m 3 . Temperature before the heat is turned on, T 1 = 10 0 C Temperature after the heat is turned on, T 2 = 20 0 C Relative humidity = 50 % (same for both the temperatures). Formula used: Relative Humidity is the humidity expressed as a percentage of saturation density. Mathematically it is given by r e l a t i v e h u m i d i t y = h u m i d i t y s a t u r a t i o n d e n s i t y × 100 % . Humidity represents density of water vapor in air which can be expressed as h u m i d i t y = m a s s v o l u m e where total mass of water vapor is considered, and volume of the house is considered. Mass can be calculated as m a s s = h u m i d i t y × v o l u m e Now we need to calculate the amount of vapor to be added for a temperature change keeping the relative humidity to be same. Calculation: Volume of the new house = 800 m 3 Saturation density of water vapor in the air at T 1 = 10 0 C = 0.0094 kg/m 3 So, substituting the values in the formula, we have h u m i d i t y = r e l a t i v e h u m i d i t y 100 % × s a t u r a t i o n d e n s i t y = 50 % 100 % × 0

8th Edition

ISBN: 9781305959422

Author: Ostdiek, Vern J.

Publisher: Cengage Learning,

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Calorimetry

Measuring the heat transferred during chemical reactions or other physical processes is known as calorimetry. It comes under the branch of thermochemistry.

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Chapter 5, Problem 24P

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How much water vapor must be added to the air to make the relative humidity 50 percent?

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Chapter 5, Problem 23P

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How much water vapor must be added to the air to make the relative humidity 50 percent?

Solution Summary: The author explains how water vapor must be added to the air to make the relative humidity 50 percent.

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How much water vapor must be added to the air to make the relative humidity 50 percent?

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