On a warm summer day, a large mass of air (atmospheric pressure 1.01 x 105 Pa) is heated by the ground to a temperature of 30.0 °C and then begins to rise through the cooler surrounding air. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Adiabatic compression in a diesel engine. Part A Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.90x104 Pa. Assume that air is an ideal gas, with y = 1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 °C per 100 m of altitude, is called the dry adiabatic lapse rate.) Express your answer in degrees Celsius.
On a warm summer day, a large mass of air (atmospheric pressure 1.01 x 105 Pa) is heated by the ground to a temperature of 30.0 °C and then begins to rise through the cooler surrounding air. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Adiabatic compression in a diesel engine. Part A Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.90x104 Pa. Assume that air is an ideal gas, with y = 1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 °C per 100 m of altitude, is called the dry adiabatic lapse rate.) Express your answer in degrees Celsius.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:On a warm summer day, a large mass of air
(atmospheric pressure 1.01 x 105 Pa) is heated
by the ground to a temperature of 30.0 °C and then
begins to rise through the cooler surrounding air.
For related problem-solving tips and strategies, you
may want to view a Video Tutor Solution of
Adiabatic compression in a diesel engine.
Part A
Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is
only 8.90x104 Pa. Assume that air is an ideal gas, with y = 1.40. (This rate of cooling for dry, rising air,
corresponding to roughly 1 °C per 100 m of altitude, is called the dry adiabatic lapse rate.)
Express your answer in degrees Celsius.
T =
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°C
Expert Solution
Step 1
Given data:
Atmospheric pressure = P1 = 1.01 x 105 Pa
Initial temperature = T1 = 30°C = 30 + 273 K = 303 K
Final pressure = P2 = 8.90 x 104 Pa
The mass of air can be considered as an ideal gas with = 1.4
We have to find the final temperature of the mass of air.
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