PHYS 102 Quiz Problems Chapter 19 : Kinetic Theory of Gases Dr. M. F. Al-Kuhaili
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1 PHYS 102 Quiz Problems Chapter 19 : Kinetic Theory of Gases Dr. M. F. Al-Kuhaili 1. (TERM 001) Two moles of an ideal gas initially at 300 K and 0.40 atm are compressed isothermally to 1.2 atm. (a) Find the final volume of the gas. (b) Find the work done by the gas. (c) Find the thermal energy transferred as heat. 2. (TERM 001) A cylinder contains 4 moles of a diatomic ideal gas at a temperature of 27 o C and a pressure of 1.5 atm. The gas is heated under constant pressure until its temperature reaches 127 o C. How much work is done by the gas in this process? 3. (TERM 001) Two moles of an ideal gas (γ = 1.4) expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 liters to a final volume of 30.0 liters. (b) What is the initial temperature of the gas? 4. (TERM 002) A sample containing 5.0 moles of an ideal gas (γ = 1.4) is at 20 o C and 1.0 atm. It is compressed to 1/10 of the original volume. (a) How much work is done if the process is isothermal? (b) How much work is done if the process is adiabatic? 5. (TERM 002) Suppose 4.00 moles of an ideal diatomic gas experience a temperature increase of 60.0 K under constant pressure. (a) How much heat was added to the gas? (b) How much did the internal energy of the gas increase? (c) How much work was done by the gas? (d) How much did the translational kinetic energy of the gas increase? 6. (TERM 002) One mole of an ideal diatomic gas is heated at constant pressure starting at 0 o C. How much heat must be added to the gas to double its volume? 7. (TERM 012) One mole of an ideal monatomic gas is heated at constant pressure from 27 o C to 147 o C. (a) Calculate the heat transferred to the gas. (b) Calculate the increase in the internal energy of the gas. (c) Calculate the work done by the gas. 8. (TERM 012) An ideal monatomic gas initially at 25 o C undergoes an isobaric expansion at a constant pressure of 2500 Pa. In this process, the volume increases from 1.00 m 3 to 3.00 m 3 and J of heat is transferred to the gas. (a) What is the work done by the gas? (b) Find the change in the internal energy ( E) of the gas. 9. (TERM 012) Two moles of an ideal monatomic gas initially at 27 o C and 0.40 atm are compressed isothermally to 1.2 atm. (a) Find the final volume of the gas. (b) Find the work done in the isothermal process. (c) Find the heat transferred during the isothermal process.
2 10. (TERM 021) An ideal monatomic gas has 5.00 moles at a temperature of 20.0 o C and a pressure of 1.50 atm. The gas is compressed to half its original volume. (a) What is the final pressure if the compression is adiabatic? (b) What is the final temperature if the compression is adiabatic? (c) How much work is done if the compression is adiabatic? (d) How much work is done if the compression is isothermal? 11. (TERM 021) One mole of an ideal monatomic gas occupies a volume of 5.00 L at a temperature of 310 K. The gas is compressed adiabatically to a volume of 2.30 L. (a) What is the initial pressure of the gas? (b) What is the final pressure of the gas? (d) What is the change in the internal energy of the gas? 12. (TERM 022) One mole of an ideal monatomic gas is at an initial temperature of 27 o C. The gas undergoes an isochoric process, absorbing 500 J of heat. It then undergoes an isobaric process losing this same amount of heat. (a) Determine the final temperature of the gas. (b) Determine the work done on the gas. 13. (TERM 022) 20.0 moles of an ideal monatomic gas having a volume of 1.00 m 3 at a pressure of 1.00 atm expand adiabatically to a final pressure of atm. Find the work done by the gas. 14. (TERM 022) An ideal gas system goes through the process shown in the figure. From A to B, the process is adiabatic, and from B to C, it is isobaric with 100 kj of heat flow into the system. From C to D, the process is isothermal, and from D to A, it is isobaric with 150 kj of heat flow out of the system. Determine the difference in the internal energy E B E A. 15. (TERM 033) 5 moles of an ideal monatomic gas undergo a process in which the temperature of the gas increases by 20 o C. (a) Calculate the heat transferred to or out of the gas if the process is isothermal. (b) Calculate the change in the internal energy of the gas. (c) Calculate the heat transferred to or out of the gas if the process is isobaric. 16. (TERM 042) An ideal monatomic gas expands isobarically from state A to state B. It is then compressed isothermally from state B to state C and finally cooled at constant volume until it returns to its initial state A. The temperature of the gas at state A is 385 K. (b) What is the temperature of the gas at C? (c) How much work is done in the isobaric process? (d) How much work is done in the isothermal process? (e) What is the net heat transfer for the whole cycle? 17. (TERM 042) Two moles of an ideal monatomic gas have an initial pressure of N/m 2. The gas is compressed adiabatically from a volume of m 3 to a volume of m 3. What is the change in internal energy of the gas?
3 18. (TERM 042) Two moles of an ideal monatomic gas are taken around the cycle shown in the figure. Process a b is isobaric, process b c is adiabatic and process c a is isochoric. In process a b, 20.0 kj of heat is added to the gas. In process c a, 14.0 kj of heat is removed from the gas. The temperature of the gas at point a is 320 K. (a) What is the temperature of the gas at point b? (b) What is the temperature of the gas at point c? (c) What is the work done in the adiabatic process b c? 19. (TERM 042) Two moles of an ideal monatomic gas are initially at a temperature of 325 K. The gas is compressed at constant pressure from an initial volume of m 3 to a final volume of m 3. (a) What is the pressure during the process? (c) How much heat is absorbed or lost by the gas? (d) How much work is done in the process? Is it done on or by the gas? (e) What is the change in the internal energy of the gas in this process? 20. (TERM 052) Two moles of an ideal monatomic gas expand slowly and adiabatically from a pressure of 4.5 atm and a volume of 10.0 L to a final volume of 25.0 L (b) What is the initial temperature of the gas? (d) What is the work done in the process? 21. (TERM 052) One mole of an ideal monatomic gas is at an initial temperature of 300 K. The gas undergoes an isochoric process in which 500 J of heat is added to the gas. Then, it undergoes an isobaric process losing the same amount of heat. (a) What is the final temperature of the gas? (b) What is the total work done in the two processes? 22. (TERM 052) Two moles of an ideal monatomic gas go from a to c along the diagonal path in the figure below. (a) What is the change in the internal energy of the gas? (b) How much energy is added to the gas as heat? 23. (TERM 061) An ideal monatomic gas initially at 300 K is compressed at a constant pressure of 25 N/m 2 from a volume of 3.0 m 3 to a volume of 1.8 m 3. In the process, 75 J is lost by the gas as heat. (a) Calculate the number of moles of the gas. (b) What is the work done in the process, and is it done by or on the gas? (c) What is the change in the internal energy of the gas during the process? (d) What is the final temperature of the gas?
4 24. (TERM 061) One mole of an ideal monatomic gas is taken from state a to state b along the straight path shown in the diagram below. (a) Calculate the work done by the gas during the process. (b) What is the change in the internal energy of the gas during the process? (c) How much heat is transferred in the process? Is it into or out of the gas? 25. (TERM 061) An ideal monatomic gas initially has a temperature of 330 K and a pressure of 6.00 atm. It is to expand adiabatically from a volume of L to a volume of 1.50 L. (c) What is the work done by the gas in the process? 26. (TERM 062) A container, of volume 0.50 m 3, has 500 g of an ideal gas at a temperature of 30 o C and a pressure of 1.0 atm. The gas expands isothermally to a pressure of 0.50 atm. (b) What is the molar of the gas? (c) What is the RMS speed of the gas molecules? (d) What is the average kinetic energy per molecule of the gas? (e) How much work is done by the gas in the expansion process? 27. (TERM 062) In the figure below, container A holds an ideal gas at a pressure of Pa and a temperature of 300 K. Container B has four times the volume of container A and has the same ideal gas at a pressure of Pa and a temperature of 400 K. The two containers are connected by a valve. The valve is opened to allow the pressure to equalize, but the temperature of each container is maintained at the initial value for that container. What is the final pressure in the two containers? 28. (TERM 062) An ideal gas, with a number of moles n = 0.85, expands isothermally as heat is added to it. The figure below shows the final volume of the gas versus the work done by the gas. What is the temperature of the gas?
5 29. (TERM 063) An ideal gas is taken through a complete cycle in three steps. The first step is an adiabatic expansion with work equal to 125 J. The second step is an isothermal compression at a temperature of 325 K. The third step is an increase in pressure at constant volume. How much energy is transferred as heat in the third step? 30. (TERM 063) The figure below shows a cycle consisting of five paths: AB is isothermal at a temperature of 300 K, BC is adiabatic with work = 5.0 J, CD is at a constant pressure of 5 atm, DE is isothermal, and EA is adiabatic with a change internal energy of 8.0 J. What is the change in internal energy of the gas along path CD? 31. (TERM 071) An ideal monatomic gas has a volume of 1.00 L at a pressure of Pa and a temperature of 40.0 o C. It expands until its volume is 1.50 L and its pressure is Pa. (c) What is the change in the internal energy of the gas in this process? 32. (TERM 071) An ideal monatomic gas has a volume of 1.00 L at a pressure of Pa and a temperature of 40.0 o C. It expands at constant pressure to a volume of 1.50 L. (c) How much heat is absorbed by the gas in the process? 33. (TERM 071) An ideal monatomic gas has a volume of 1.00 L at a pressure of Pa and a temperature of 40.0 o C. It expands isothermally to a volume of 1.50 L. (b) What is the final pressure of the gas? (c) What is the work done by the gas in the process?
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