Question

The above pV diagram shows the expansion of 5.0 moles of a monatomic ideal gas from state a to state b. As shown in the diagram, Pa = Pb = 600 Pa, Va = 3.0 m3, and Vb = 9.0 m3. The pressure is then reduced to 200 Pa without changing the volume, as the gas is taken from state b to state c.

c. Determine Q for the process bc.

d. Determine the change in thermal energy of the gas for the two processes ab and bc together; that is, Eth,c - Eth,a.

Answer #1

**from a to b is isobaric process**

**change in internal energy Ub- Ua = n*Cv*dT**

**dU = n*Cv*dT**

**dU = (3/2)*n*R*(Pb*Vb - Pa*va)/nR**

**dU = (3/2)*(Pb*Vb - Pa*va)**

**dU = (3/2)*((600*9) -(600*3)) = 5400**

**Work = Pa*(Vb - va) = 600*(9-3) = 3600 J**

**from Ist law of thermodynamics**

**Q = dU + W = 9000 J
<<<<=========ANSWER**

**part (b)**

**Work = Pa*(Vb - va) = 600*(9-3) = 3600 J
<<<<=========ANSWER**

**======================**

**part(c)**

**change in internal energy Ub- Ua = n*Cv*dT**

**dU = n*Cv*dT**

**dU = (3/2)*n*R*(Pc*Vc - Pb*vb)/nR**

**dU = (3/2)*(Pc*Vc - Pb*vb)**

**dU = (3/2)*((200*9) -(600*9)) = -5400**

**dU = -5400 J**

**work = 0**

**Q = dU = -5400 J
<<<<=========ANSWER**

**part(d) Uc - Ua = Uc - Ub + (Ub-Ua) = 0
<<<<=========ANSWER**

The PV diagram shows the compression of 60.1 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=
1.84E+5 N/m2 VA= 1.97E+0 m3 PB= 1.15E+5 N/m2 VB=
9.30E-1 m3

2.00-mol of a monatomic ideal gas goes from State A to State D
via the path A→B→C→D:
State A PA=11.0atm, VA=13.00L
State B PB=11.0atm, VB=6.50L
State C PC=20.5atm, VC=6.50L
State D PD=20.5atm, VD=22.00L
Assume that the external pressure is constant during each step
and equals the final pressure of the gas for that step.
Calculate q for this process.
Calculate w for this process.

An ideal monatomic gas at Pa = 3x10^5 N/m^2, Va = 0.06m^3, and T
= 27C expands adiabatically tp Pb = 2x10^5 N/m^2 and Vb = 0.085m^3
and then isothermally to Vc = 0.1m^3. What are the final
temperature, pressure, and work performed by the gas? Show these
paths on a P-V diagram

Rectangular PV Cycle
A piston contains 260 moles of an ideal monatomic gas that
initally has a pressure of 2.61 × 105 Pa and a volume of
4.9 m3. The piston is connected to a hot and cold
reservoir and the gas goes through the following quasi-static cycle
accepting energy from the hot reservoir and exhausting energy into
the cold reservoir.
1. The pressure of the gas is increased to 5.61 × 105
Pa while maintaining a constant volume.
2....

The volume of a monatomic ideal gas doubles in an adiabatic
expansion.
Considering 115 moles of gas with an initial pressure of 350 kPa
and an initial volume of 1.4 m3 . Find the pressure of the gas
after it expands adiabatically to a volume of 2.8 m3 .
Pf= 110 kPa
Find the temperature of the gas after it expands adiabatically
to a volume of 2.8 m3 .

Five moles of monatomic ideal gas have initial pressure 2.50 ×
103 Pa and initial volume 2.10 m3. While
undergoing an adiabatic expansion, the gas does 1180 J of work.
What is the final pressure of the gas after the expansion? in
kPa

We consider an isolated system made up of 2 moles of an ideal
gas which can pass reversibly from a state A (PA, VA, TA = 300 K)
to a state B (PB = 3PA, VB = VA / 3, TB) by a transformation which
comprises two stages: it is first isochoric (constant volume), then
isobaric (constant pressure).
1-Determine the work involved.
The ideal gas constant is R = 8.31 J / K.mol, and the internal
energy of an ideal...

3.0 moles of an ideal gas are subjected to the following
processes. First the volume is tripled in an isobaric process. Then
it undergoes an isothermal process to a pressure of 9.0 kPa. The
volume is then cut in half in another isobaric process after being
tripled. Finally, it returns to the original state in an isochoric
process. (a) Draw a PV diagram of the cycle. Label each state
(vertex) with a letter (A, B, …) and each transition with...

A closed piston-cylinder system contains a 120
moles of neon, a monatomic ideal gas, at pressure
PA = 2.5 atm
and volume VA = 0.80
m3. It undergoes the following cyclic
process:
A -> B: I
There is isothermal expansion to volume double of the original.
B -> C:
Constant-volume process back to its original pressure .
C -> A:
Constant-pressure process back to its initial state
a) Draw a Pressure volume diagram for the cycle. You
don't need to...

3. An ideal monatomic gas expands isothermally from .500 m3 to
1.25 m3 at a constant temperature of 675 K. If the initial pressure
is 1.00 ∙ 105 Pa, find (a) the work done by the gas, (b) the
thermal energy transfer Q, and (c) the change in the internal
energy.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 5 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 11 minutes ago

asked 13 minutes ago