A cylinder contains 2.00 mol of an ideal monoatomic gas initially at pressure and temperature of 1.00 x 10° Pa and 300 K respectively. The cylinder expands until its volume doubles. (a) Determine the work done by the gas if the expansion is adiabatic. isothermal. isobaric. (b) Sketch all the three processes on the same pressure, p vs volume, V diagram. (c) Which process has the greatest heat transfer and change in internal energy? Prove your answer.

The PV diagram shows the compression of 40.9 moles of an ideal monoatomic gas from state A to state B. Calculate Q, the heat added to the gas in the process A to B. Data: PA= 1.90E+5 N/m2 VA= 1.83E+0 m3 PB= 1.01E+5 N/m2 VB= 8.90E-1 m3›44

1. Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a state (5.5 atm, 6.5 L) to a state with pressure 6.5 atm. For a monoatomic gas y=5/3. (a) Find the volume of the gas after compression. ✓ final = 5.9 (b) Find the work done by the gas in the process. Latm W= -3.9 (c) Find the change in internal energy of the gas in the process. AE int=39 L.atm. Check: What do you predict the signs of work and change in internal energy to be? Do the signs of work and change in internal energy match with your predictions?

tab Consider the following figure. (The x axis is marked in increments of 2.5 m³.) P (Pa). esc caps lock 6 x 106 4 X 106 2 x 106 V (m³) 1 (a) Determine the work done on a gas that expands from i to f as indicated in the figure. MJ (b) How much work is performed on the gas if it is compressed from f to / along the same path? MJ ! 1 F1 A NO 2 N FF 200 F2 W S # 3 80 F3 X E * D $ 4 F4 R C % 5 F MacBook Air T V の‥ 6 F6 G & 7 F7 H B 2 E

When an ideal gas undergoes a quasistatic adiabatic volume change, its pressure p and volume V are related by PVY = a constant, where y is the ratio of the molar specific heats for the gas. Start from the first law of thermodynamics, present a proof of this equation.

You would like to raise the temperature of an ideal gas from 295 K to 960 K in an adiabatic process. a)What compression ratio will do the job for a monatomic gas?  b)What compression ratio will do the job for a diatomic gas?

a) Consider a process involving an ideal diatomic gas with n = 3mol, following p = aV, where a = 1 x 105 Pa/m³ is a constant. The gas ex- pands from volume V; = 1 m³ to V; = 4m3. P2 Find the (i) work done on the gas. (ii) heat entering the gas. 1 (iii) change in the internal energy of the gas. b) Now consider the cycle depicted in the figure, involving the same amount of gas as in the previous part. A → B is the process described in the previous subtask, B → C an isochor and C → A an isobar. Additionally, V2/V1 = n = 4 and Vi = 1 m³. Find the Pi 3 i) work done by the gas during one loop of the cycle. V1 V2 V ii) thermal efficiency of the cycle. iii) maximum theoretical efficiency of a Car- not cycle having the same temperature extrema as in this cycle. iv) coefficient of performance of the cycle, if it were used as a refrigerator .

Consider ? = 5.00 mol of an ideal diatomic gas successively undergoing each one of the following thermodynamic processes:I. An adiabatic compression from an original volume of 0.150 m3to final volumeof 0.120 m3reaching a temperature of 293.0 K.II. An isothermal expansion to the original volume.III. An isochoric cooling to the original state. A) Draw a pressure-volume diagram showing all these processes.B) Calculate the pressure and temperature for each of the missing principal states.

One mole of an ideal gas, for which CV,m = 3/2R, initially at 298 K and 1.00 × 10^5 Pa undergoes a reversible adiabatic compression. At the end of the process, the pressure is 1.00 × 10^6 Pa. Calculate the final temperature of the gas. Calculate q, w, ΔU, and ΔH for this process.