Question

In: Chemistry

Three moles of an ideal gas expand isothermally and reversibly from 90 to 300 L at...

Three moles of an ideal gas expand isothermally and reversibly from 90 to 300 L at 300 K.

a) Calculate ΔUm, ΔSm, w per mole, and q per mole.

b) If the expansion is carried out irreversibly by allowing the gas to expand rapidly into a vacuum, determine ΔUm, ΔSm, w per mole, and q per mole

Solutions

Expert Solution


Related Solutions

Three moles of an ideal monatomic gas expand at a constant pressure of 2.40 atm ;...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.40 atm ; the volume of the gas changes from 3.20×10-2 m3 to 4.50×10−2 m3 . a. Calculate the initial temperature of the gas. b. Calculate the final temperature of the gas. c. Calculate the amount of work the gas does in expanding. d. Calculate the amount of heat added to the gas. e. Calculate the change in internal energy of the gas.
Three moles of an ideal monatomic gas expand at a constant pressure of 2.10 atm ;...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.10 atm ; the volume of the gas changes from 3.30×10−2 m3 to 4.50×10−2 m3 . a) Calculate the initial temperature of the gas. b) Calculate the final temperature of the gas. c) Calculate the amount of work the gas does in expanding. d) Calculate the amount of heat added to the gas. e) Calculate the change in internal energy of the gas
4. An ideal gas in a moveable piston is allowed to reversibly expand by slowly heating...
4. An ideal gas in a moveable piston is allowed to reversibly expand by slowly heating at constant pressure. a. (10 pts) Derive the equation for the work done (w reversible) as a function of the initial and final temperatures. b. (10 pts) Derive the equation for the change in heat in the system (q). c. (10 pts) Derive the equation for the change in entropy.
10 kJ of heat is absorbed by a gas dissociation reaction occurring reversibly and isothermally at...
10 kJ of heat is absorbed by a gas dissociation reaction occurring reversibly and isothermally at 300 K in an elastic balloon. The gas mixture expands producing 5 kJ of work against the tension of the balloon and the pressure of the atmosphere. Calculate the change in entropy of the gas mixture in the balloon and the change in entropy of the universe
a) Consider an ideal gas in a container with a frictionless piston. The gas is isothermally...
a) Consider an ideal gas in a container with a frictionless piston. The gas is isothermally compressed at 26 degrees Celsius as 940 Joules of work is done on it. Determine the resulting change in entropy of the gas, the change in entropy of the environment and the universe. (assume the temperature of the environment is a constant 22 Celsius) b) 20 grams of ice at 0 Celsius melt while being left at room temperature of 22 Celsius. After melting,...
4. 0.25 moles of an ideal gas expands from 72 mL to 10 L. For each...
4. 0.25 moles of an ideal gas expands from 72 mL to 10 L. For each of the following experimental conditions, calculate U, q, and w, each in Joules. a. Gas expands in a vacuum under isothermal conditions. b. Gas expands isothermally in Denver, Colorado, where the constant external pressure is 675 Torr. c. Gas expands isothermally in a reversible manner at 19 °C. d. Gas expands adiabatically against a constant pressure of 760 Torr
5 moles of ideal gas is initially at 300 K and 5 bar. It is compressed...
5 moles of ideal gas is initially at 300 K and 5 bar. It is compressed to 10 bar at 300 K. This change is carried out by two different reversible processes: A: heating at constant volume followed by cooling at constant pressure B: cooling at constant pressure followed by heating at constant volume Depict these processes on a PT graph. (Hand drawn on engineering sheet would suffice). Calculate ΔU, ΔH, Q, and W requirements for each path. Cv=20.78 J/mol.K...
If 5.0 moles of an ideal gas occupies a volume of 9.3 L, what volume will...
If 5.0 moles of an ideal gas occupies a volume of 9.3 L, what volume will 15.0 moles of the gas occupy? A mixture of oxygen, hydrogen, carbon dioxide and methane gases has a total pressure of 1.3 atm. If the partial pressure of hydrogen is 2.4 psi, the partial pressure of carbon dioxide is 110 torr and the partial pressure of methane is 0.22 atm, how many mmHg does the oxygen exert? For the reaction below, how many mL...
8. Three moles of ideal monatomic gas at 400 K are compressed from 1 atm to...
8. Three moles of ideal monatomic gas at 400 K are compressed from 1 atm to 20 atm. Find for each of the following processes starting at the same initial condition the work, heat, ΔU, and ΔH if the compression is performed a. Isothermally b. Isochorically c. Adiabatically
An ideal, 1-atom gas with a constant amount of substance expands slowly and reversibly from volume...
An ideal, 1-atom gas with a constant amount of substance expands slowly and reversibly from volume V1 to volume V2. At the same time, the pressure drops so that P (V) is a linear function of the volume. The starting permit is given as: V1 = 22.0 liters, P1 = 399,000 Pa The final state is given as: V2 = 32.0 liters, P2 = 299,000 Pa The amount of substance n = 1.00 mol a) Determine the expression and values...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT