b) What is the change in
entropy of the gas,
, as a
result of the sudden expansion?
please help me by doing all
the parts of this question, I really appreciate your help!
b) What is the change in entropy of the gas, , as a result of the...
2. [4] Consider a box of volume V2 with a partition that separates a third of the box, Vi-V2 /3, from the rest. Initially, Vi contains N molecules of monatomic ideal gas at temperature tı, while the rest of the box is empty. The walls of the box are well insulated. (a) [1] The partition is suddenly removed. No heat enters or leaves the box during the sudden expansion of the gas. What is the final temperature of the gas,...
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement in an initial state (T1, P1, Vi ). 1 mole of the real gas that is expressed by the following equation of state under the investigation. Now, the gas is expanded so as to fill the final state of (T2, P2, V2 ). Suppose that any possible temperature dependence of Cy is negligibly small and the molar heat capacity is approximately equal to 2"...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially confined within volume V, by a piston and the remaining volume V2 - Vi is in vacuum. Let T,, P1, E1, S, Al, Hi, G, be the temperature, pressure, energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively V1 V2-V Using Sackur-Tetrode equation for the entropy of ideal gas where kB R/NA is Boltzmann's constant...
4. [After Reif Problem 5.1] When an ideal gas undergoes an adiabatic (thermally insu- lated) quasi-static expansion, its pressure and volume are related by p = constant. where γ = cp/cv is the ratio of heat capacities. If the gas expands from an initial volume Vi at temperature T to a final volume V2, calculate the final temperature T2 in terms of γ, Vi, Ti, and ½.
An ideal monatomic gas initially has a temperature of T and a pressure of p. It is to expand from volume V1 to volume V2. If the expansion is isothermal, what are thefinal pressure pfi and the work Wi done by the gas? If, instead, the expansion is adiabatic, what are the final pressure pfa and the work Wa done by the gas? Stateyour answers in terms of the given variables.
With the pressure held constant at 230 kPa, 44 mol of a
monatomic ideal gas expands from an initial volume of 0.80 m3 to a
final volume of 1.9 m3.
Review PartA With the pressure held constant at 230 kPa, 44 mol of a monatomic ideal gas expands from an initial volume of 0.80 m3 to a final volume of 1.9 m3 How much work was done by the gas during the expansion? Express your answer using two significant figures....
An ideal monatomic gas is contained in a cylinder with a movable
piston so that the gas can do work on the outside world, and heat
can be added or removed as necessary. The figure shows various
paths that the gas might take in expanding from an initial state
whose pressure, volume, and temperature are , , and respectively. The gas expands to a state with
final volume . For some answers it will be convenient to
generalize your results...
I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3 is compressed adiabatically in a piston-cylinder device from T1-300 K, pi = 1 bar to p2 = 10 bar at a constant external pressure Pext"- P2 -10 bar. Calculate the final temperature, T2, and W, Q. AU, AH for this process. 2. (20 pts.) Repeat problem 1 for an adiabatic and reversible compression. 3. (20 pts.) A rigid, insulated tank is divided into two...
Write expressions in terms of the temperature T1, T2, T3, and T4 for the entropy change in each step of the following process for an ideal monatomic gas: a) Reversible adiabatic expansion from T1P1V to T2P2V' b) Irreversible heating at constant volume from T2P2V' to T3P3V' c) Reversible adiabatic compression from T3P3V' to T4P4V d) Irreversible cooling at constant volume from T4P4V to T1P1V. Prove that the total entropy change for the cycle is 0. Please provide explanation, work, and...
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression from Pu V1, T1 to P2, V2, T2 An isobaric expansion from P2, V2, T2 to P3 P2, Vs, T3 - An adiabatic expansion from P3, Vs, Ts to Pa, V4, T4 - A constant-volume process from Pa, V4, T4 to Pi, VV4, T1 (a) Sketch this cycle on a PV diagram (b) Derive an equation that expresses the thermal efficiency (n) of this...