a. From the first law of thermodynamics derive the following relation for a quasi-static adiabatic process for the ideal gas assuming y to be constant: TVY-1 = constant b. In a piston system, an ideal diatomic gas (y = 1.4) is at kept at a temperature of 30 °C (T1) and occupies a volume of 0.3 m² (V,). The gas is allowed to expand to a new volume of 0.5 m² (V2). Assuming that the process is adiabatic, find the temperature after expansion

a. From the first law of thermodynamics derive the following relation for a quasi-static adiabatic process for the ideal gas assuming y to be constant: TVY-1 = constant b. In a piston system, an ideal diatomic gas (y = 1.4) is at kept at a temperature of 30 °C (T1) and occupies a volume of 0.3 m² (V,). The gas is allowed to expand to a new volume of 0.5 m² (V2). Assuming that the process is adiabatic, find the temperature after expansion

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

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.
A monatomic gas is take through a cycle from A to B to C and back to A. At A the pressure is 100,000 pa, the volume is 4.0 liters, and the temperature is 300K. The gas is compressed adiabatically until the volume is 1.0 liters (at B). How much energy was given to or removed from the gas during the adiabatic process?
A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented by the p-V diagram shown in the figure. The initial pressure, volume, and temperature are p1 = 1.05 × 105 Pa, V1 = 0.035 m3, and T1 = 290 K, respectively. a)The first step in the Otto cycle is adiabatic compression. Enter an expression for the work performed on the gas during the first step, in terms of V1, V2, and p1. b) Calculate the temperature of the gas, in kelvins, at the end of the first step. c)The fourth and last step in the Otto cycle is isochoric cooling to the initial conditions. Find the amount of heat, in joules, that is discharged by the gas during the fourth step.
Find the work for a system where temperature (T) is constant. (This is called an isothermal process) W = P(V₂ - Vf) W = 0 (V) W = P(V₁ - V₂) W = PV W = - PV) W = -nRT W = nRT W = nRT In W n(V) = nRT In
An ideal gas undergoes the thermodynamic process shown in the ??PV diagram in the figure. Determine whether each of the values (a) Δ?ΔU, (b) ?W, (c) ?Q for the gas is positive, negative, or zero. (Note that ?W is the work done ??on the gas.) Hint: First use the ideal gas law to find the initial and final temperatures in terms of ?0P0 and ?0V0 and determine if the final temperature is greater than, less than, or equal to the initial temperature. (a) ΔU A.+ B.- C.0 (b) W A.+ B.- C.0 (c) Q A.+ B.- C.0
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 .