The insulated cylinder shown below is closed at both ends and contains an insulating piston that is flee to move on frictionless bearings. The piston divides the chamber into two compartments containing gases A and B. Originally, each compartment has a volume of 5.0 × 10 − 2 m 3 and contains a monatomic ideal gas at a temperature of ℃ and a pressure of 1.0 atm. (a) How many moles of gas are in each compartment? (b) Heat Q is slowly added to A so that it expands and B is compressed until the pressure of both gases is 3.0 atm. Use the fact that the compression of B is adiabatic to determine the final volume of both gases. (c) What are their final temperatures? (d) What is the value of Q?
The insulated cylinder shown below is closed at both ends and contains an insulating piston that is flee to move on frictionless bearings. The piston divides the chamber into two compartments containing gases A and B. Originally, each compartment has a volume of 5.0 × 10 − 2 m 3 and contains a monatomic ideal gas at a temperature of ℃ and a pressure of 1.0 atm. (a) How many moles of gas are in each compartment? (b) Heat Q is slowly added to A so that it expands and B is compressed until the pressure of both gases is 3.0 atm. Use the fact that the compression of B is adiabatic to determine the final volume of both gases. (c) What are their final temperatures? (d) What is the value of Q?
The insulated cylinder shown below is closed at both ends and contains an insulating piston that is flee to move on frictionless bearings. The piston divides the chamber into two compartments containing gases A and B. Originally, each compartment has a volume of
5.0
×
10
−
2
m3 and contains a monatomic ideal gas at a temperature of ℃ and a pressure of 1.0 atm. (a) How many moles of gas are in each compartment? (b) Heat Q is slowly added to A so that it expands and B is compressed until the pressure of both gases is 3.0 atm. Use the fact that the compression of B is adiabatic to determine the final volume of both gases. (c) What are their final temperatures? (d) What is the value of Q?
Consider a well-insulated horizontal rigid cylinder that is divided into two compartments by a piston that is free to move, but does not allow either gas to leak into the other side. Initially, one side of the piston contains 1 m3 of N2 gas at 500 kPa and 120°C while the other side contains 1 m3 of He gas at 500 kPa and 40°C. Now thermal equilibrium is established in the cylinder as a result of heat transfer through the piston. Using constant specific heats at room temperature, determine the final equilibrium temperature in the cylinder. What would your answer be if the piston were not free to move?
The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K in an adiabatic process.What are (a) the work W done by the gas, (b) the energy transferred as heat Q, (c) the change Eint in internal energy of the gas, and (d) the change K in the average kinetic energy per atom
A monatomic ideal gas undergoes an isothermal expansion at 300K, as the volume increased from 4x10−2−2m33 to 0.16m33. The final pressure is 150kPa. The ideal gas constant is R=8.314J/mol K. What is the heat transfer to the gas closest to?
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