A The work for an isothermal process that moves from volume V₁ to a larger volume V₂ is given by () True False w=RT In
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- Calculate the net work on the gas during cycle X. Justify your answer.42. An ideal gas at P 2.50 X 10 Pa and T isothermally from 1.25 m' to 2.75 m'. The gas then returns to its original state through a two-part process: constant-pressure followed by constant-volume. a. G Draw a PV diagram for this gas. b. C What is the change in thermal energy? c. N Find the work done by the environment on the gas. d. N Find the heat that flows into the gas. 295 K expands %3DFigure 1 represents a closed cycle for a gas .The change in the internal energy of the gas as it moves from a to c along the path abc is -200 J. As it moves from c to d, 180 J must be transferred to it as heat. An additional transfer of 80 J to it as heat is needed as it moves from d to a. How much work is done on the gas as it moves from c to d?
- A heat engine operating at steady state delivers a power output of 17 hp. The engine receives energy by heat transfer in the amount of Qh = 33 kJ during each cycle of operation from a high temperature thermal reservoir at Th = 870 K. The system is executing 50 cycles per minute. Determine the amount of work that is delivered during each cycle in kilojoules. Determine the actual efficiency at which the system is operating. Assuming this engine is as efficient as possible, what would the temperature, in degrees celsius, of the colder reservoir be?Please asap4.5 kg of water at 39 ^ °C is mixed with 4.5 kg of water at 67^°C in a well - insulated container. Part A Estimate the net change in entropy of the system. Express your answer to two significant figures and include the appropriate units.
- In a refrigerator, 2.10 mol of an ideal monatomic gas is taken through the cycle shown in the figure. The temperature at point A is 782.0 K What is the temperature at point D? KIn this question, we derive the entropy of an Ideal Gas. a) By considering a constant volume process, show that the First Law, dE dQ dW can be written as nCydT=dQ – dW. dV b) Using the Ideal Gas Law, show that this expression can be written as nCv dT dQ - nRT V. c) By dividing by T, and defining d.S of dQ T Tf AS = ff d = nCv In +nRln Ti = dQ as usual, show that the change in entropy, AS, can be written as:n moles of a diatomic ideal gas go through cycle a → b → c → d → a as shown in the figure. Processes ab and cd are isothermal and occur at temperatures TH and TC, respectively. 1) Calculate the work Wab done by the gas during the process a → b in terms of the variables in the problem. 2) Calculate the work Wbc done by the gas during the process b → c. 3) Calculate the total work W done in the entire cycle in terms of the variables in the problem. 4) Calculate the total heat Q flowing into the gas in a complete cycle.
- A monatomic gas in a certain gasoline engine undergoes an Otto cycle. a.) Assume that the pressure is increased by a factor of 1.5 during the adiabatic compression stroke, so that the pressure after this step is P2 = 1.5 P1, where P1 is the initial pressure. Write an equation for the volume V2 in terms of the volume before this step V1. b.) Write an equation for the temperature T2 after the adiabatic compression in terms of the temperature T1 before this step. c.) Assume the pressure is doubled after the isochoric step, such that the pressure after this step is P3 = 2.0 P2. Write an equation for the temperature after this step T3 in terms of a number (carried to two digits) multiplied by the temperature T2 before this step.P Example of calculation of work P = 1 Atm V%= 1 litre iii ii P V V,12 V In this cycle the system, which is an ideal monatomic gas, undergoes first isothermal (i) then adiabatic (ii) compression steps, each of which halve the volume, then returns to its starting point via first isothermal (iii) and then adiabatic (iv) expansions, each of which double the volume. How much work is done by the system during the cycle if P, is 1 atmosphere and V, =1 litre?Consider a process that uses n moles of a monatomic ideal gas operating through a Carnot cycle. The initial temperature and pressure of the gas are T1 and P1, respectively. Consider steps 1 → 2, 2 → 3, 3 → 4, and 4 → 1. a. In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V1. b. Write an expression for the volume V4 in terms of V1.