work done =nrTln(v2/v1) = 2 x 300 x 0.0821 ln(7/3.5) =3.6 x 103J
U=Q-W
U=0 as change in temperature=0
change in internal energy =w =3.6 x 103J
Suppose 2.00 mol of an ideal gas of volume V =3.50m^3 at T = 300K .allowed...
Consider 2.60 mol of an ideal gas of volume V1=3.50 m3 at T=200 K is allowed to expand isothermally to V2=7.00 m3 at T2=200 K. Determine; The change in the internal energy of the gas.
A Carnot engine operates us ing 1.0 mol e of monoatomic ideal gas as a working s ubstance. In t he first step, the gas is place d in thermal contact with a heat reservoir and expands isothermally to 3 .0 times its initial volume. (a) If the internal energy o f the gas after this step is 6.25 k J , calculate the temperature of the heat reservoir ( T h ) . (b) C alculate the heat absorbed...
Suppose 2.40 mol of an ideal gas of volume V1 = 4.00 m3 at T1 = 290 K is allowed to expand isothermally to V2 = 24.0 m3 at T2 = 290 K . Part A Determine the work done by the gas. W=
An ideal gas is allowed to expand isothermally until it reaches its final volume. It is then heated at constant volume until it reaches its final pressure. The initial state of the gas is P1 = 2.93 atm, V1 = 1.00 L, and Eint 1 = 414 J, and its final state has volume V2 = 2.93 L and Eint 2 = 951 J. 1) Calculate the work done by the gas. Be careful with signs: if the work you...
105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, first by constant pressure (isobaric) contraction, and then by a change at constant volume (isochoric) a) Draw a PV diagram of this process. What's the total change in thermal energy of the entire process? b) What's the work done by the environment on the gas?...
The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K at constant volume. What are (a) the work W done by the gas, (b) the energy transferred as heat Q , (c) the change ?Eint in the internal energy of the gas, and (d) the change ?K in the average kinetic energy per atom?
Starting with 2.70 mol of N2 gas (assumed to be ideal) in a cylinder at 1.00 atm and 15.0 ∘C, a chemist first heats the gas at constant volume, adding 1.36 × 104 J of heat, then continues heating and allows the gas to expand at constant pressure to twice its original volume. (a) Calculate the final temperature of the gas (b) Calculate the amount of work done by the gas. (c) Calculate the amount of heat added to the...
A 2.00 mol sample of an ideal gas with a molar specific heat of CV = 5 2 R always starts at pressure 1.50 ✕ 105 Pa and temperature 250 K. For each of the following processes, determine the final pressure (Pf, in kPa), the final volume (Vf, in L), the final temperature (Tf, in K), the change in internal energy of the gas (ΔEint, in J), the energy added to the gas by heat (Q, in J), and the...
Five moles of the monatomic gas argon expand isothermally at 302 K from an initial volume of 0.020 m3 to a final volume of 0.050m3. Assuming that argon is an ideal gas, find (a) the work done by the gas, (b) the change in internal energy of the gas, and (c) the heat supplied to the gas. Four mole of gas at temperature 320 K expands isothermally from an initial volume of 1.5 L to 7 L. (a) What is...
A 1.00-mol sample of an ideal diatomic gas is allowed to expand. This expansion is represented by the straight line from 1 to 2 in the PV diagram. The gas is then compressed isothermally. This compression is represented by the curved line from 2 to 1 in the PV diagram. Calculate the work per cycle done by the gas.