Compute the total work done by the gas

Assignment Help Physics

Reference no: EM13809929

1 (a) The temperature near the top of Saturn's cloud layer is about 110K. The temperature at the top of the earth's troposphere, at an altitude of about 20km, is about 220K. Calculate the rms speed of hydrogen (H2) molecules in both these environments. Give your answers in m/s and as a fraction of the escape speed from the respective planet.

(b) Hydrogen gas is a rare element in the earth's atmosphere. In the atmosphere of Saturn, by contrast, 96% of all molecules are H2. Explain why.

(c) Suppose an astronomer claims to have discovered an oxygen (O2) atmosphere on the Moon. How likely is this to be true? The Moon has a surface temperature of about 220K near its equator.

2 20.0L of an ideal diatomic gas at 1.00 atm and 300 K are contained in a cylinder with a piston. The gas first expands isobarically to twice its original volume (step 1). It is then compressed isothermally back to its original volume (step 2), compressed isobarically to half its original volume (step 3), and finally allowed to expand isothermally back to its original volume.

a) Show the series of processes on a pV diagram.

b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the values of the isothermal processes on the pV diagram.

c) Compute the total work done by the gas on the piston during each step of the cycle, both in Joules and in L-atm, and the total work done by the gas for one complete cycle.

d) Compute the heat added during each step of the cycle, both in Joules and in L-atm, and the total heat added for one cycle. Compare the total work done with the total heat added.

3. 20.0L of an ideal monatomic gas at 1.00 atm and 300 K are contained in a cylinder with a piston. The gas first heats up isochorically to twice its original pressure (step 1). It then expands isothermally to twice its original volume (step 2), cools down isochorically back to its original temperature (step 3), and finally compresses isothermally back to its original pressure (step 4).

a) Show the series of processes on a pV diagram.

b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the values of the isothermal processes on the pV diagram.

c) Compute the total work done by the gas on the piston during each step of the cycle, both in Joules and in L-atm, and the total work done by the gas for one complete cycle.

d) Compute the heat added during each step of the cycle, both in Joules and in L-atm, and the total heat added for one cycle. Compare the total work done with the total heat added.

4. A 0.25L container is initially filled with air at STP. A piston compresses it adiabatically to a volume of 12.0% of the original volume. The air may be treated as an ideal gas with y = 1.40

(a) Calculate the final temperature and pressure. (b) Sketch a pV-diagram for this process. On this diagram also draw the isotherms for the initial and final temperatures.

Reference no: EM13809929

Questions Cloud

What was gravity at his location : He used a 4.0 m length of string and found that with a rock tied at its end , its period as a pendulum was 4.1 seconds. What was gravity at his location?

Differentiate between traditional marketing and e-marketing : Differentiate between traditional marketing and e-marketing. List an example of how you could utilize the differences of e-marketing. Assemble a list of specific guidelines that ensures that you make a great first impression on your welcome page

Continuum of substance use and abuse : Continuum of Substance Use and Abuse

Mechanism by which an operating system can enforce : Describe a mechanism by which an operating system can enforce limited transfer of capabilities. That is, process A might transfer a capability to process B, but A wants to prevent B from transferring the capability to any other processes

Compute the total work done by the gas : Compute the total work done by the gas on the piston during each step of the cycle, both in Joules and in L-atm, and the total work done by the gas for one complete cycle

Bibliographical and professional summary of a woman : bibliographical and professional summary of a woman

Write an essay about technology and why hacking is not crime : Write an essay about technology and why "hacking is not crime".

Define federal government''s power over international affairs : What are the primary sources in the U.S. Constitution of the federal government's power over international affairs

Create an abstract employee class : We are going to create an abstract Employee class and an abstract calculatePay method. The abstract Employee class will prevent a programmer from creating an object based on Employee

User Account

All Pages