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Standard IX

Physics

Types of Work

An ideal gas ...

Question

An ideal gas is taken around the cycle $A B C A$ as shown. The work done in the cyclic process is:

12 P_{1} V_{1}

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6 P_{1} V_{1}

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3 P_{1} V_{1}

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P_{1} V_{1}

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Solution

The correct option is C $3 P_{1} V_{1}$
The work done in the cyclic processs $=$ Area bounded $(A B C A)$
$= \frac{1}{2} \times A C \times A B = \frac{1}{2} \times 2 V_{1} \times 3 P_{1}$

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Similar questions

Q. A cyclic process for

1 mole

of an ideal gas is shown in the

V - T

diagram. The work done in

A B, B C

and

C A

respectively is

n

moles of a perfect gas undergoes a cyclic process

A B C A

(see figure) consisting of the following processes -

A \to B

: Isothermal expansion at temperature

T

so that the volume is doubled from

V_{1}

V_{2}

and pressure changes from

P_{1}

P_{2}

B \to C

: Isobaric compression at pressure

P_{2}

to initial volume

V_{1}

C \to A

: Isochoric change, leading to change of pressure from

P_{2}

P_{1}

.

Total work done in the complete cycle

A B C A

is :

Q. 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?

Q. A cyclic process for

1

mole of an ideal gas is shown in figure in the

V - T

diagram. The work done in process

A B, B C

and

C A

respectively, are

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.

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An ideal gas is taken around the cycle ABCA as shown. The work done in the cyclic process is:

The correct option is C 3P1V1The work done in the cyclic processs = Area bounded (ABCA)=12×AC×AB=12×2V1×3P1

An ideal gas is taken around the cycle $A B C A$ as shown. The work done in the cyclic process is:

The correct option is C $3 P_{1} V_{1}$
The work done in the cyclic processs $=$ Area bounded $(A B C A)$
$= \frac{1}{2} \times A C \times A B = \frac{1}{2} \times 2 V_{1} \times 3 P_{1}$