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Unreasonable ResultsSuppose the relative humidity is 80% on a day when the temperature is 30.0ºC . (a) What will the relative humidity be if the air cools to 25.0ºC and the vapor density remains constant? (b) What is unreasonable about this result? (c) Which premise is responsible?

(a) 106$\%$(b) Unreasonable.

Physics 101 Mechanics

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

Temperature and Heat

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

McMaster University

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here we know that four party, the percent relative humidity is equaling the vapor of the vapor density, divided by the saturated vapour density multiplied by 100% and so we can evaluate at 30 degrees Celsius to find the vapor density. This would be equal to the relative the percent relative humidity on that day, 80% multiplied by the saturation vapor density of water at 30 degrees Celsius. This is equaling 30 0.4 grams per cubic meter, so the vapor density is equaling 24.32 grams per cubic meter. Now, for 25 degrees Celsius, we can find the percent relative humidity. This would be equaling the vapor density, which we know to be again. 24.32 grams per cubic meter, divided by the saturated vapour density at 25 degrees Celsius. Four water, which is 23 grams per cubic meter, and this would be times 100% again and we have that this is equaling 105.7%. So the percent relative humidity for 25 degrees Celsius ist 105.7%. That would be a rancher for apart a. However, report for Part B, what is unreasonable is that the percent relative humidity for 25 degrees Celsius is greater than 100% which doesn't make sense. So that's what Ah, this is this results is impossible. No. What premise is responsible for this result is that the vapor density is constant. The vapor density would not be constant. Um, there would be essentially water condensing, um, as it cooled down. So the vapor pressure, we can say the vapor pressure staying neighbor density rather staying constant from 30 degrees Celsius to 25 degrees Celsius is on unreasonable premise. That would be our answer for part C. That is the end of the solution. Thank you for one.

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