Question

An ideal gas with γ=1.4 occupies 5.0 L at 300 K and 120 kPa pressure and is heated at constant volume until its pressure has doubled. It's then compressed adiabatically until its volume is one-fourth its original value, then cooled at constant volume to 300 K , and finally allowed to expand isothermally to its original state.

Find the net work done on the gas. W= ___J

Answer #1

Constant volume process:(1-2)

P_{1}/P_{2} = T_{1}/T_{2}

120/240 = 300/T_{2}

T_{2}= 600 k

Work done during constant volume process is zero.

Adiabatic Compression(2-3):

PV^{}
= constant.

P_{2}V_{2}^{}
= P_{3}V_{3}^{}

P_{3}=
P_{2}(V_{2}/V_{3})^{}

= 240(5/1.25)^{1.4} = 1671.46 kpa

From ideal gas equation, we will find T_{3}.

P_{2}/P_{3} = T_{2}/T_{3}.

240/1671.46= 600/T_{3}

T_{3} = 4177.65 k.

Work done during this process can be given as:

W_{2-3} = P_{2}V_{2}[(1/-1){(V_{2}/V_{3})^{-1}
-1}]

By putting values we get:

W_{2-3}= 2223.30 J

Constant volume process(3-4):

Work done will be zero

Constant temperature process(4-1):

Work done can be given as:

W_{4-1} =
-P_{1}V_{1}ln(V_{1}/V_{4})

= 120kpa×0.005×ln(5L/1.25L)

= -831.78 J

Total work done on gas will be:

W = 2223.30-831.78 =1391.52 J

An ideal gas with ?=1.4 occupies 3.0L at 300 Kand
100kPa pressure and is compressed adiabatically until its volume is
2.0 L. It's then cooled at constant pressure until it reaches 300
K, then allowed to expand isothermally back to stateA.
Find the net work done on the gas and Vmin?

n = 2.58 mol of Hydrogen gas is initially at T = 376 K
temperature and pi = 1.88×105 Pa pressure. The gas is then
reversibly and isothermally compressed until its pressure reaches
pf = 8.78×105 Pa. What is the volume of the gas at the end of the
compression process? What would be the temperature of the gas, if
the gas was allowed to adiabatically expand back to its original
pressure?

1. A sample of krypton gas occupies a volume of
9.48 L at 61.0°C and
407 torr. If the volume of the gas sample is
increased to 12.2 L, while its
temperature is decreased to
5.0°C, the resulting gas pressure will be what
torr?
2. A sample of carbon dioxide gas at a pressure
of 0.972 atm and a temperature of 225
°C, occupies a volume of 520 mL. If the
gas is heated at constant pressure until its
volume...

Charles's Law
A sample of helium gas at a pressure of 0.905 atm and a temperature
of 230°C, occupies a volume of 615mL. If the gas is cooled at
constant pressure until it's volume is 523mL, the temperature of
the gas sample will be ____°C
A sample of oxygen gas at a pressure of 960 mm Hg and
a temperature of 81°C, occupies a volume of 14.9 liters. I the gas
is heated at constant pressure at a temperature of...

A sample of methane gas at a pressure of
0.633 atm and a temperature of 296
°C, occupies a volume of 699 mL. If the
gas is cooled at constant pressure until its
volume is 599 mL, the temperature of the gas
sample will be ________ °C.
A sample of oxygen gas at a pressure of
0.538 atm and a temperature of 283
°C, occupies a volume of 500 mL. If the
gas is heated at constant pressure until its...

Charles's Law:
a.) A sample of krypton gas at a pressure of 1.02 atm and a
temperature of 167 oC, occupies a volume of 587 mL. If
the gas is heated at constant pressure until its volume is 849 mL,
the temperature of the gas sample will be
__________oC.
b.) A sample of methane gas at a pressure of 683 mm Hg and a
temperature of 79 oC, occupies a volume of 13.4 liters.
If the gas is cooled at...

A sample of krypton gas at 287 K and 0.808 atm occupies a volume
of 4.78 L. If the gas is compressed into a smaller volume, while at
the same time it is heated to a higher temperature, the final gas
pressure will be lower than 0.808 atm. could be higher or lower
than 0.808 atm depending on the final volume and temperature. will
be higher than 0.808 atm.
A sample of xenon gas at 310 K and 0.563 atm...

n = 3.50 mol of Hydrogen gas is initially at T = 309.0 K
temperature and pi = 2.34×105 Pa pressure.
The gas is then reversibly and isothermally compressed until its
pressure reaches pf = 8.91×105 Pa.
1. What is the volume of the gas at the end of the compression
process? 1.01×10-2
m^3
2. How much work did the external force perform?
3. How much heat did the gas emit?
4. How much entropy did the gas emit?
5....

One mole of air is compressed from pressure P1 and temperature
T1 at
constant volume till its pressure is doubled. Then it is
expanded
reversibly and isothermally to the original pressure, and finally
restored
to the original temperature by cooling at constant pressure. Sketch
the
path followed by the gas, on a P-V diagram and calculate the net
work
done by the gas.

1a/ A sample of xenon gas at a pressure of
0.679 atm and a temperature of 282
°C, occupies a volume of 569 mL. If the
gas is cooled at constant pressure until its
volume is 476 mL, the temperature of the gas
sample will be (........) °C.
1b/ A sample of nitrogen gas at a pressure of
876 mm Hg and a temperature of 26
°C, occupies a volume of 10.1 liters. If
the gas is heated at constant...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 2 minutes ago

asked 2 minutes ago

asked 2 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 12 minutes ago

asked 13 minutes ago

asked 13 minutes ago