Your solutions to (10) and (11) should include PV diagrams. (10) [6 points] To discover whether an unknown gas is monatomic or diatomic, an experimenter takes a 2.0 L sample of the gas at STP and heats this sample to 100°C at constant volume. (a) The gas absorbs 180 J of heat-energy in this process. Is this gas monatomic or diatomic? (b) The experimenter weighs the sample and finds it has a mass of 2.5 g. What molecule or atom comprises the gas? (c) The experimenter then releases a piston and allows the gas to cool to room temperature 20°C under constant pressure. How much work does the gas do (take care of the sign)?
Added by
Close
Step 1
We can do this by calculating the molar specific heat at constant volume (Cv) using the heat absorbed (q) and the temperature change (ΔT). The formula for heat absorbed is: q = n * Cv * ΔT We know that at STP (standard temperature and pressure), 1 mole of any Show more…
Show all steps
Your feedback will help us improve your experience
Supreeta N and 82 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Problem 10: A monatomic ideal gas initially fills a V0 = 0.15 m³ container at P0 = 55 kPa. The gas undergoes an isobaric expansion to V1 = 0.8 m³. Next, it undergoes an isovolumetric cooling to its initial temperature T0. Finally, it undergoes an isothermal compression to its initial pressure and volume. Part (a) Identify the P-V diagram that correctly represents this three-step cycle. Part (b) Calculate the work done by the gas, W1, in kilojoules, during the isobaric expansion (first process). Part (c) Calculate the heat absorbed Q1, in kilojoules, during the isobaric expansion (first process). Part (d) Write an expression for the change in internal energy, ΔU1, during the isobaric expansion (first process). Part (e) Calculate the work done by the gas, W2, in kilojoules, during the isovolumetric cooling (second process). Part (f) Calculate the heat absorbed Q2, in kilojoules, during the isovolumetric cooling (second process). Part (g) Calculate the change in internal energy by the gas, ΔU2, in kilojoules, during the isovolumetric cooling (second process).
Animesh R.
Sorry to do it this way but there's too much I'm lost on..
Sheh Lit C.
(B.) A sample of 1.00 mole of a diatomic ideal gas is initially at temperature 265 K and volume 0.200 m³. The gas first undergoes an isobaric expansion, such that its temperature increases by 120.0 K. It then undergoes an adiabatic expansion so that its final volume is 0.360 m³. i. Sketch a PV diagram for the two-step process, including labeled initial, final, and intermediate (after the isobaric process, before the adiabatic process) states, and a two-part curve/path with an arrow indicating direction. Label the initial state "i", the final state "f", and the intermediate state "b". Write down the known values for P, T, and V at each point, e.g. Ti = 265 K, and Tb = 385 K. 3. (0.7 points) What is the initial pressure of the gas, Pi, in kPa? 4. (1.1 points) What is the total heat transfer, Q, to the gas, in J? 5. (1.5 points) What is the total work done on the gas, W, in J? Enter your answer for problem (5.) for credit. First, use the following questions as intermediate steps; answers can be submitted to assess understanding of the problem along the way.) i. What is the work done on the gas in just the isobaric process, Wisobaric, in J? ii. What is the intermediate volume of the gas, Vb (after the isobaric process) in m³? iii. What is the final temperature, Tf of the gas in K? Use the known values of Vf, Tb and Vb (from part 5ii.), along with the relationship between temperature and volume for an adiabatic process. iv. What is the work done on the gas in just the adiabatic process, Wadiabatic, in J?
David M.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD