Question

An ideal gas goes through the following two-step process. 1) The container holding the gas has...

An ideal gas goes through the following two-step process. 1) The container holding the gas has a fixed volume of 0.240 m3 while the pressure of the gas increases from 2.00×105 Pa to 4.00×105 Pa . 2) The container holding the gas is then compressed to a volume of 0.150 m3 while maintaining a constant pressure of 4.00×105 Pa .

Part A

What is the total work done by the gas for this two-step process?

Homework Answers

Answer #1

Work done by the gas is area under the P-V diagram. We need to plot the curve and find the area under the curve in P-V diagram and take care of the units of pressure and volume. Here, both of them are in SI units hence, we didn't make any mistake.

The work done by the gas is 36kJ. The work done on the gas would have been negative if the cycle is directed anti clockwise, which is the case here, hence, work done by the gas is positive.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An ideal gas is brought through an isothermal compression process. The 4.00 mol of gas goes...
An ideal gas is brought through an isothermal compression process. The 4.00 mol of gas goes from an initial volume of 259.4×10−6 m3 to a final volume of 110.6×10−6 m3 . If 8070 J is released by the gas during this process, what are the temperature ? and the final pressure ?? of the gas? ?= K ?f= Pa
Rectangular PV Cycle A piston contains 260 moles of an ideal monatomic gas that initally has...
Rectangular PV Cycle A piston contains 260 moles of an ideal monatomic gas that initally has a pressure of 2.61 × 105 Pa and a volume of 4.9 m3. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. 1. The pressure of the gas is increased to 5.61 × 105 Pa while maintaining a constant volume. 2....
A container is filled with an ideal diatomic gas to a pressure and volume of P1...
A container is filled with an ideal diatomic gas to a pressure and volume of P1 and V1, respectively. The gas is then warmed in a two-step process that increases the pressure by a factor of three and the volume by a factor of two. Determine the amount of energy transferred to the gas by heat if the first step is carried out at constant volume and the second step at constant pressure. (Use any variable or symbol stated above...
A container is filled with an ideal diatomic gas to a pressure and volume of P1...
A container is filled with an ideal diatomic gas to a pressure and volume of P1 and V1, respectively. The gas is then warmed in a two-step process that increases the pressure by a factor of five and the volume by a factor of three. Determine the amount of energy transferred to the gas by heat if the first step is carried out at constant volume and the second step at constant pressure. (Use any variable or symbol stated above...
3 moles of an ideal gas is originally at a pressure of 100,000 Pa at 128oC....
3 moles of an ideal gas is originally at a pressure of 100,000 Pa at 128oC. The pressure is increased to 150000 Pa via an isovolumetric process. Then the gas is compressed via an isobaric process to a volume of .04 m3. a. Draw the PV curve precisely for this process. Calculate the endpoints. Be sure to indicate direction. b. Find the work done on the gas.
. A container has n = 3 moles of a monoatomic ideal gas at a temperature...
. A container has n = 3 moles of a monoatomic ideal gas at a temperature of 330 K and an initial pressure of three times the atmospheric pressure. The gas is taken through the following thermodynamic cycle: 1.- The gas is expanded isobarically (constant pressure) to Vf = 2.5∙Vi. 2.- The pressure of the gas is decreased isochorically (constant volume) to half of the initial value. 3.- The gas is compressed isobarically back to its initial volume. 4.- The...
12a. Two moles of an ideal gas are placed in a container whose volume is 3.7...
12a. Two moles of an ideal gas are placed in a container whose volume is 3.7 x 10-3 m3. The absolute pressure of the gas is 7.2 x 105 Pa. What is the average translational kinetic energy of a molecule of the gas? Number Entry field with incorrect answer now contains modified data Units Entry field with correct answer b. Two ideal gases have the same mass density and the same absolute pressure. One of the gases is helium (He),...
Consider an ideal gas enclosed in a 1.00 L container at an internal pressure of 10.0...
Consider an ideal gas enclosed in a 1.00 L container at an internal pressure of 10.0 atm. Calculate the work, w, if the gas expands against a constant external pressure of 1.00 atm to a final volume of 20.0 L. w=____J Now calculate the work done if this process is carried out in two steps. 1. First, let the gas expand against a constant external pressure of 5.00 atm to a volume of 4.00 L 2. From there, let the...
A heat engine composed of 1.6 moles of an ideal, monotonic gas is initially at 350...
A heat engine composed of 1.6 moles of an ideal, monotonic gas is initially at 350 K and 1x10^5 Pa. The first step is an isothermal expansion to a pressure of 5x10^4 Pa. Second, the gas is compressed at constant pressure back to the inital volume. Finally the gas returns, at constant volume to the initial state. What is the total work done by the gas during this cycle? What is the efficiency of this cycle?
A vessel with a movable piston contains 1.90 mol of an ideal gas with initial pressure...
A vessel with a movable piston contains 1.90 mol of an ideal gas with initial pressure Pi = 2.03 ✕ 105 Pa, initial volume Vi = 1.00 ✕ 10−2 m3, and initial temperature Ti = 128 K. (a) What is the work done on the gas during a constant-pressure compression, after which the final volume of the gas is 2.50 L? J (b) What is the work done on the gas during an isothermal compression, after which the final pressure...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT