9. A monatomic ideal gas expands from point A to point B along the path shown in the figure. Determine the work done by the gas. (The vertical axis is marked in increments of 1.00 × 105 Pa and the horizontal axis is marked in increments of 3.50 m³.) J Pressure molecules of helium gas at a te Ideal gas is A rom 20 230 Volume B 3.5
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- (a) Calculate the work done by the gas along the closed path shown below. The curved section between R and S is semicircular. (b) If the process is carried out in the opposite direction, what is the work done by the gas?Under what circumstances would you expect a gas to behave significantly differently than predicted by the ideal gas law?An ideal monatomic gas at a pressure of 2.0105N/m2 and a temperature of 300 K undergoes a quasi-static isobaric expansion from 2.0103 to 4.0103 cm3. (a) What is the work done by the gas? (b) What is the temperature of the gas after the expansion? (c) How many moles of gas are there? (d) What is the change in internal energy of the gas? (e) How much heat is added to the gas?
- The product of the pressure and volume of a sample of hydrogen gas at 0.00 is 80.0 J. (a) How many moles of hydrogen are present? (b) What is the average translational kinetic energy of the hydrogen molecules? (c) What is the value of the product of pressure and volume at 200 ?One mole of an ideal gas does 4500 J of work as it expands isothermally to a final pressure of 1.00 × 105 Pa and volume of 0.031 m3 what was the initial volume ofd the gas inm cubic meters? What is the tenpature of the gas in kelvin?1. A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How much work is done if the carbon dioxide-filled sphere expanded to five times its origina volume against the pressure at STP? Express your answer in L atm. b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere contains one mole of carbon dioxide. Express your answer in J. c. How much power can all the molecules in this sphere generate after 30s? Assume that the sphere contains one mole of carbon dioxide and that all molecules have the same kinetic energy. Express your answer in W. (Use the KE obtained from the previous required)
- 8. AN gases at STP because behave as id cal gases a.j The T and aoat STP are 273k and latm b.) The ideal gas formu1a onsiders the ir moucular weight C- Jthe velocitics are very fast and their intrinsic motecular propertics beome negligible OF the e :) hore abo veUe A:0r * Il. pluls ► exam 1.pdf Q1// Define the following First law of thermodynamics, adiabatic process, Boyle's law, Reversibility, and Pressure. Q2// Ten kg of oxygen are heated from 350 to 500 K at constant pressure. Calculate the change of enthalpy, change internal energy, heat transfer and work done. Take Cp-0.909, Cv=0.649 Q3// In a nozzle air at 700°C and twice atmospheric pressure enters with 50 m/s velocity, and leaves at a temperature of 40°C. Determine velocity of air at exit. Take Cp = 1.005 kJ/kg.K for air.Volech 28. A monatomic ideal gas initially at pressure Po = 10° Pa, volume Vo = 0.01 m³, and temperature To = 300 K is taken through the cycle shown in the figure. p %3D ЗР. a. Determine the change in internal energy from point A to point B. b. Determine the work done by the gas from point B to point C. Po c. Determine the heat released by the gas from point C to point D. d. Determine the net work done by the gas and the net heat absorbed by the gas. Vo 3V bhe s on the
- 3. 0.5 moles of cinnamaldehyde gas that has an initial volume of ten liters expands under the followingconditions: 185°F and 800mmHg external pressure.a. How much work is done? Express your answer in L atm.b. Assuming that the container is cylindrical with a base radius of 10cm and can only expandvertically, how much kinetic energy does a single molecule possesses if it travels from baseto base of the expanded cylinder in 10μs? Express your answer in J.Question 2Air is contained in a cylinder by as frictionless gas-tight piston. a.Find the work done by the gas as it expands from a volume of 0.015 m^3 toa volume of 0.027 m^3 at a constant pressure of 2 x 10^5 Pa and 27°C.b. Find the final pressure and temperature if, starting from the same initialconditions as in (a), and expanding by the same amount, the change occurs(i) isothermally, and (ii) adiabatically. (Given y for air = 1.4)3. 0.5 moles of cinnamaldehyde gas that has an initial volume of ten liters expands under the following conditions: 185°F and 800mmHg external pressure. a. How much work is done? Express your answer in Latm. b. Assuming that the container is cylindrical with a base radius of 10cm and can only expand vertically, how much kinetic energy does a single molecule possesses if it travels from base to base of the expanded cylinder in 10us? Express your answer in J.