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- A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68arrow_forwardOne mole of an ideal gas does 3 000 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 25.0 L. Determine (a) the initial volume and (b) the temperature of the gas.arrow_forwardA heat engine with 0.221 mol of a monatomic gas undergoes the cyclic procedure shown in the ?? diagram, where ?1=360 kPa, ?2=480 kPa, ?1=1.52×103 cm3, and ?2=2.34×103 cm3. Between Stage 3 and Stage 1, the gas is at a constant temperature, and between Stage 2 and Stage 3, no heat is transferred in or out. The temperature of the gas at Stage 2 is 400 K. Identify the type of each process in the cycle. The process between Stage 1 and Stage 2 is The process between Stage 2 and Stage 3 is The process between Stage 3 and Stage 1 is What is the temperature ? between Stages 3 and 1? ?= What is the work ?out per cycle of this heat engine? ?out= Find the efficiency ? of this heat engine. ?=arrow_forward
- Modern vacuum pumps make it easy to attain pressures of the order of 10-13 atm in the laboratory. Consider a volume of air and treat the air as an ideal gas. (a) At a pressure of 9.00 * 10-14 atm and an ordinary temperature of 300.0 K, how many molecules are present in a volume of 1.00 cm3? (b) How many molecules would be present at the same temperature but at 1.00 atm instead?arrow_forwardThe initial pressure and volume of a diatomic gas (? = 1.40) immediately after combustion inside an automobile engine are 2.83 ✕ 106 Pa and 5.89 ✕ 10−5 m3 respectively. In the next step of the cycle, the piston moves outward allowing the gas to expand until its final volume is 2.85 ✕ 10−4 m3. Note that during this expansion, there is no energy transfer. Determine the work done during the expansion of the gas. ______Jarrow_forwardHow much work is done on the steam when 1.00 mol of water at 100∘Cboils and becomes 1 mol of steam at 100∘Cat 1.00 atm pressure? Assume the steam to behave as an ideal gas.arrow_forward
- An ideal monatomic gas is taken through the cycle in the PV diagram.(shown in photo taken) where V1 = 1.20, V2 = 2.40, P1 = 98.0 kPa and P2 = 230 kPa. If there are 0.0200 mol of this gas, What is the pressure and temperature at point C? Universal gas constant is 8.314 J/(mol·K).arrow_forwardSketch a PV diagram and find the work done by the gas during the following stages.(a) A gas is expanded from a volume of 1.0 L to 3.0 L at a constant pressure of 3.0atm. (b) The gas is then cooled at constant volume until the pressure falls to 2.0 atm.(c) The gas is then compressed at a constant pressure of 2.0 atm from a volume of 3.0L to 1.0 L. Note: Be careful of signs. (d) The gas is heated until its pressure increasesfrom 2.0 atm to 3.0 atm at a constant volume. (e) Find the net work done during thecomplete cycle. [203 J]arrow_forward
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