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In the course of pumping up a bicycle tire, a liter of air
Chapter 1, Problem 36P(choose chapter or problem)
Problem 36P
In the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed adiabatically to a pressure of 7 atm. (Air is mostly diatomic nitrogen and oxygen.)
(a) What is the final volume of this air after compression?
(b) How much work is done in compressing the air?
(c) If the temperature of the air is initially 300 K, what is the temperature after compression?
Questions & Answers
QUESTION:
Problem 36P
In the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed adiabatically to a pressure of 7 atm. (Air is mostly diatomic nitrogen and oxygen.)
(a) What is the final volume of this air after compression?
(b) How much work is done in compressing the air?
(c) If the temperature of the air is initially 300 K, what is the temperature after compression?
ANSWER:
Solution
Step 1 of 5
In the given problem, we compress a litre of air (=1 L=
) at temperature
which contains a diatomic molecules, hence it has 5 degrees of freedom (f=5) initially at atmospheric pressure (
) to a final pressure and temperature of
and
. The compression is done by doing a work of W. By considering the process to be adiabatic,we need to find the final volume and temperature after compression of gas
=? and
. Also we need to calculate the work done W=? for the compression.