* Possible escape of different air molecule types (a) Determine the ratio of escape speeds from Earth for a hydrogen molecule ( H 2 ) and for an oxygen molecule ( o 2 ) . The mass of the oxygen is approximately 16 times that of the hydrogen. (b) In the atmosphere, the average random kinetic energy of hydrogen molecules and oxygen molecules is the same. Determine the ratio of the average speeds of the hydrogen and the oxygen molecules, (c) Based on these two results, give one reason why our atmosphere lacks hydrogen but retains oxygen.
* Possible escape of different air molecule types (a) Determine the ratio of escape speeds from Earth for a hydrogen molecule ( H 2 ) and for an oxygen molecule ( o 2 ) . The mass of the oxygen is approximately 16 times that of the hydrogen. (b) In the atmosphere, the average random kinetic energy of hydrogen molecules and oxygen molecules is the same. Determine the ratio of the average speeds of the hydrogen and the oxygen molecules, (c) Based on these two results, give one reason why our atmosphere lacks hydrogen but retains oxygen.
* Possible escape of different air molecule types (a) Determine the ratio of escape speeds from Earth for a hydrogen molecule
(
H
2
)
and for an oxygen molecule
(
o
2
)
. The mass of the oxygen is approximately 16 times that of the hydrogen. (b) In the atmosphere, the average random kinetic energy of hydrogen molecules and oxygen molecules is the same. Determine the ratio of the average speeds of the hydrogen and the oxygen molecules, (c) Based on these two results, give one reason why our atmosphere lacks hydrogen but retains oxygen.
The average mass of an oxygen atom is 5.3*10^-26 kg. Calculate the kinetic energy of a mole of oxygen atoms, all moving at a speed of 400 m/s (1000mph).
a) 8.2*10^-21 J
b) 2600 J
c) 5200 J
d) 13,000 J
A rubber band at temperature T is fastened at one end to a peg, and supports from its other end a mass m in a gravitational field g. Model the rubber band as a linked polymer chain of N segments joined end-to-end. Each segment has a length a and can be oriented either parallel or anti-parallel to the vertical direction. Find an expression for the average length of the rubber band as a function of B, m, g, N, and a. You may neglect the kinetic energies and masses of the segments themselves, and any interaction between the segments.
Q20:
Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 8.6 kilometers to his job, has a mass of 68.4 kilograms and has an average acceleration of 2.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of…
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