Show that a commutative ring with the cancellation

An Introduction to Thermal Physics 1
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

An Introduction to Thermal Physics 1
Problem 66P In analogy with the thermal conductivity, derive an approximate formula for the viscosity of an ideal gas in terms of its density, mean free path, and average thermal speed. Show explicitly that the viscosity Is Independent of pressure and proportional to the square root of the temperatur

An Introduction to Thermal Physics 1
Problem 5P For an Einstein solid with each of the following values of N and q, list all of the possible microstates, count them, and verify below formula. (a) N = 3, q = 4 (b) N = 3, q = 5 (c) N = 3, q = 6 (d) N = 4, q = 2 (e) N = 4, q = 3 (f) N = 1, q = anything (g) N = anything, q = 1 Formula:

Chemistry 11
The annual production of sulfur dioxide from burning coal and fossil fuels, auto exhaust, and other sources is about 26 million tons. The equation for the reaction is \(\mathrm{S}(s)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{SO}_{2}(g)\) How much sul

Biology for AP Courses
Which of the following statements is part of the cell theory? a. All living organisms are made of cells. b. All cells contain DNA that they pass on to daughter cells. c. All cells depend on their surroundings to provide energy. d. All cells have a nucleus.

Principles of Economics 9
Alexis, Bruno, and Camila each want an ice-cream cone. Alexis is willing to pay $12, Bruno is willing to pay $8, and Camila is willing to pay $4. The market price is $6. Consumer surplus equals a. $6. b. $8. c. $14. d. $18.

Chemistry for today : general, organic, and biochemistry 9
Ethylene glycol is mixed with water and used as an antifreeze in automobile cooling systems. If a 50% (v/v) solution is made using pure ethylene glycol and pure water, it will have a freezing point of about \(-65^{\circ} \mathrm{C}\). What will happen to the freezing point of the mixture if ethylene

Introductory Chemistry: A Foundation 9
Discuss how a hypothesis can become a theory. Can a theory become a law? Explain.