You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Work Done in Isothermal Reversible Process

An ideal gas ...

Question

An ideal gas is initially at $P_{1}, V_{1}$ is expanded to $P_{2}, V_{2}$ and then compressed adiabatically to the same volume $V_{1}$ and pressure $P_{3}$ . If $W$ is the net work done by the gas in the complete process, which of the following is true?

W > 0; P_{3} > P_{1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

W < 0; P_{3} > P_{1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

W > 0; P_{3} < P_{1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

W < 0; P_{3} < P_{1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $W < 0; P_{3} > P_{1}$
In the first process $W$ is $+ v e$ as $△ V$ is $+ v e$ , in the second process $W$ is $- v e$ as $△ V$ is $- v e$ and area under the curve of second process is more. Therefore, the net work $< 0$ and also $P_{3} > P_{1}$ .

Suggest Corrections

Similar questions

Q. An ideal gas expands isothermally from a volume

V_{1}

V_{2}

and then compressed to original volume

V_{1}

adiabatically. Initial pressure is

P_{1}

and final pressure is

P_{3}

. The total work done is

W

. Then

Q. An ideal gas expands isothermally from volume

V_{1}

V_{2}

and is then compressed to original volume

V_{1}

adiabatically. Initial pressure is

P_{1}

and final pressure is

P_{3}

. The total work done by gas during the whole process is

W

. Then identify the correct statement.

An ideal gas expands isothermally from a volume $V_{1}$ to $V_{2}$ to and then compressed to original volume $V_{1}$ adiabatically. Initial pressure is $P_{1}$ and final pressure is $P_{3}$ . The total work done is W. Then

An ideal gas is expanded isothermally from a volume $V_{1}$ to volume
$V_{2}$ and then compressed adiabatically to original volume $V_{1}$ . The initial pressure is $P_{1}$ and the final pressure iss $P_{3}$ . If the net work done is W, then

Q. An ideal gas expands isothermally from volume

V_{1}

V_{2}

and is then compressed to original volume

V_{1}

adiabatically. Initial pressure is

P_{1}

and final pressure is

P_{3}

. The total work done is

W

. Then

Join BYJU'S Learning Program

An ideal gas is initially at P1,V1 is expanded to P2,V2 and then compressed adiabatically to the same volume V1 and pressure P3. If W is the net work done by the gas in the complete process, which of the following is true?

The correct option is B W<0;P3>P1In the first process W is +ve as △V is +ve, in the second process W is −ve as △V is −ve and area under the curve of second process is more. Therefore, the net work <0 and also P3>P1.

An ideal gas is initially at $P_{1}, V_{1}$ is expanded to $P_{2}, V_{2}$ and then compressed adiabatically to the same volume $V_{1}$ and pressure $P_{3}$ . If $W$ is the net work done by the gas in the complete process, which of the following is true?

The correct option is B $W < 0; P_{3} > P_{1}$
In the first process $W$ is $+ v e$ as $△ V$ is $+ v e$ , in the second process $W$ is $- v e$ as $△ V$ is $- v e$ and area under the curve of second process is more. Therefore, the net work $< 0$ and also $P_{3} > P_{1}$ .