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2. Determine the change in entropy for an isothermal process in which two initially separated gas...
What is the entropy change for mixing 1 liter of a monoatomic ideal gas (call it...
What is the entropy change for mixing 1 liter of a monoatomic ideal gas (call it A) at 2 atm at 100 oC with 2 liters of a different monoatomic ideal gas (call it B) at 0.5 atm at 0 oC (the total volume is confined to 3 liters)? Assume CV= 1.5R for both gases. (Hint: you need to include the entropy change for the change in volume, change in temperature, and for mixing)
3 1. One mole of an ideal gas expands isothermally at T = 20°C from 1.2...
3 1. One mole of an ideal gas expands isothermally at T = 20°C from 1.2 m² to 1.8 m². The gas constant is given by R= 8.314 J/mol K). (a) Calculate the work done by the gas during the isothermal expansion. W= (b) Calculate the heat transfered during the expansion Q= (c) What is the change in entropy of the gas? AS аук (c) What is the entropy change of the thermal reservoir? AS reservar JK (d) What is...
2. 10 points Consider a thermally isolated system consisting of two volumes of an ideal gas...
2. 10 points Consider a thermally isolated system consisting of two volumes of an ideal gas separated by a thermally conducting movable partition, which is initially fixed. Initially, the temperatures, pressures, and volumes of the two parts are P, V, T and 3P, 2V, and T respectively (see figure below). The partition is now allowed to move without gases mixing, until the equilibrium is reached. a) What is the change of the internal energy of the system after the equilibrium...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
During a reversible isothermal expansion, the entropy of an ideal gas: a) decreases b) stays constant...
During a reversible isothermal expansion, the entropy of an ideal gas: a) decreases b) stays constant c) increases When dry ice sublimes into gas at 194.65 K and 1 atm, the entropy a) increases b) stays constant c) decreases Which one of the following is true? a) The entropy of an isolated system can only stay constant or increase during a process b) We can construct a heat engine that extracts heat from a hot reservoir and delivers an equal...
Initially, at a temperature T, and a molar volume vi, a van der Waals gas undergoes...
Initially, at a temperature T, and a molar volume vi, a van der Waals gas undergoes a change of state to the final temperature T2 and the molar volume V2. The van der Waals gas is characterized by the two parameters a and b (cf. Eq. (3.3)). a. Show that the change in molar entropy is As = c, In 72 + R In º2 = (3.62) 01 - 6 b. A volume of 1 dm is partitioned by a...
Classify each process by its individual effect on the entropy of the universe, S. Drag the...
Classify each process by its individual effect on the entropy of the universe, S. Drag the appropriate items to their respective bins. ► View Available Hint(s) Reset Help a process run infinitesimally slowly at equilibrium and reversed to its original state a constant composition mixture of solid and liquid water at STP (273.15 K and 1 atm) motion of a frictionless pendulum a bag of red marbles and a bag of green marbles dumped together on a ice melting to...
1 00 mol of a perfect gas initially at 1 00 atm and 298 K with...
1 00 mol of a perfect gas initially at 1 00 atm and 298 K with Cpm (7/2) R is put through the following cycle () constant-volume heating to twice its initial temperature (u) reversible, adiabatic expansion back to its onginal temperature () reversible, isothermal compression back to 1 00 atm Calculate q, w, AU, and AH for each of the steps ()-(m) above Hints First calculate AU, then q AH easily follows Remember the meaning of an adiabatic process...
Two rigid tanks are connected by a valve. Initially, one tank contains 10 mº of helium...
Two rigid tanks are connected by a valve. Initially, one tank contains 10 mº of helium (He) gas at 220 kPa, 40°C? The other tank initially contains 4.0 R of neon (Ne) gas at 150 kPa, sot. Now the valve is opened, allowing the two gases to mix with each other. Heat transfer occurs during the mixing process. The final equilibrium temperature is 44'C. The specific heats of monatomic gases are independent of temperature. Determine: (a) the final volume of...
3 1. One mole of an ideal gas expands isothermally at T = 20°C from 1.2 m² to 1.8 m². The gas constant is given by R= 8.314 J/mol K). (a) Calculate the work done by the gas during the isothermal expansion. W= (b) Calculate the heat transfered during the expansion Q= (c) What is the change in entropy of the gas? AS аук (c) What is the entropy change of the thermal reservoir? AS reservar JK (d) What is...
2. 10 points Consider a thermally isolated system consisting of two volumes of an ideal gas separated by a thermally conducting movable partition, which is initially fixed. Initially, the temperatures, pressures, and volumes of the two parts are P, V, T and 3P, 2V, and T respectively (see figure below). The partition is now allowed to move without gases mixing, until the equilibrium is reached. a) What is the change of the internal energy of the system after the equilibrium...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
Initially, at a temperature T, and a molar volume vi, a van der Waals gas undergoes a change of state to the final temperature T2 and the molar volume V2. The van der Waals gas is characterized by the two parameters a and b (cf. Eq. (3.3)). a. Show that the change in molar entropy is As = c, In 72 + R In º2 = (3.62) 01 - 6 b. A volume of 1 dm is partitioned by a...
Classify each process by its individual effect on the entropy of the universe, S. Drag the appropriate items to their respective bins. ► View Available Hint(s) Reset Help a process run infinitesimally slowly at equilibrium and reversed to its original state a constant composition mixture of solid and liquid water at STP (273.15 K and 1 atm) motion of a frictionless pendulum a bag of red marbles and a bag of green marbles dumped together on a ice melting to...
1 00 mol of a perfect gas initially at 1 00 atm and 298 K with Cpm (7/2) R is put through the following cycle () constant-volume heating to twice its initial temperature (u) reversible, adiabatic expansion back to its onginal temperature () reversible, isothermal compression back to 1 00 atm Calculate q, w, AU, and AH for each of the steps ()-(m) above Hints First calculate AU, then q AH easily follows Remember the meaning of an adiabatic process...
Two rigid tanks are connected by a valve. Initially, one tank contains 10 mº of helium (He) gas at 220 kPa, 40°C? The other tank initially contains 4.0 R of neon (Ne) gas at 150 kPa, sot. Now the valve is opened, allowing the two gases to mix with each other. Heat transfer occurs during the mixing process. The final equilibrium temperature is 44'C. The specific heats of monatomic gases are independent of temperature. Determine: (a) the final volume of...
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