A gas chnages its . State from (p(0)...

A gas chnages its . State from `(p_(0) , V_(0) ` to ` ( 2p_(0) , 3 V_(0))` in such a way that `p ~ V ` graph is a straight line . Find the work done .

Text Solution

Verified by Experts

The process has been indicated by straight line AB ( see figure )

Work done (W ) = area under the line AB in P-V graph
= area of trapezum ABCD
`=1/2 (P_(0) +2P_(0))(3v_(0)-V_(0))`
`= 1/2 * 3p_(0) * 2V_(0) = 3P_(0)V_(0)`

Topper's Solved these Questions

WBCHSE QUESTION PAPER -2019
CHHAYA PUBLICATION|Exercise SECTION - II ( GROUP -D)|10 Videos
WBCHSE QUESTION PAPER -2019
CHHAYA PUBLICATION|Exercise SECTION - II ( GROUP -B)|8 Videos
VISCOSITY AND SURFACE TENSION
CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos
WORK AND ENERGY
CHHAYA PUBLICATION|Exercise CBSE SCANNER|27 Videos

Similar Questions

Explore conceptually related problems

2 mol of an ideal monatomic gas is carried from a state (P_(0), V_(0)) to a state (2P_(0), 2V_(0)) along a straight line path in a P - V diagram. The amount of heat absorbed by the gas in the process is given by

The nature of P - 1/V graph is-

2 mole of an ideal monatomic gas is carried from a state (P_(o),V_(0)) to state (2P_(0),2V_(o)) along a straight line path in a P-V diagram. The amount of heat absorbed by the gas in the process is given by

A quantity of an ideal gas is compressed from state (p_(1), V_(1)) to another state (p_(2), V_(2)) (i) isothermally, (ii) adiabatically. In which process will the work done be greater?

An ideal gas is compressed from state (P_(1), V_(1), T) to state (P_(2), V_(2), T) isothermally. What is the change in the internal energy of the gas? Answer with reason.

One mole of a monatomic ideal gas undergoes a quasistatic process, which is depicted by a straight line joining points (V_(0), T_(0)) and (2V_(0), 3T_(0)) in a V-T diagram. What is the value of the heat capacity of the gas at the point (V_(0), T_(0)) ?

One mole of a mono atomic ideal gas undergoes a quasi -static process,s which is depicted by a straight line joining points (V_(0), T_(0)) and (2V_(0),3T_(0)) is a V-T diagram. What is the values of the heat capacity of the gas at the point (V_(0),T_(0)) ?

Draw the nature of the graph in the following cases - P-V

In the cyclic process shown in P-V diagram, the magnitude of the work done is:

CHHAYA PUBLICATION-WBCHSE QUESTION PAPER -2019-SECTION - II ( GROUP -C)

What is angle of repose
Text Solution
|
What is cone of friction
Text Solution
|
static frictional force is self - controlled . Explain it .
Text Solution
|
On a horizontal surface . 2 kg block is placed eastward and 4...
Text Solution
|
A bomb of mass 8 Kg exlpodes on a smooth horizontal surface , ...
Text Solution
|
the bob of simple pendulum is relasesd when string makes an ...
Text Solution
|
Three particles of masses 2 Kg and 4Kg are placed at ( 2,0) , ...
Text Solution
|
For the mountain Himalayas , between centre of mass and centre...
Text Solution
|
A light metre scale is placed horizontally on two supports at 1...
Text Solution
|
A ring rolls on horizontal without slipping . Prove that its t...
Text Solution
|
A disc of mass 2 Kg and radius 1 m rotates about its own axis ...
Text Solution
|
IF g is the acceleration due to gravity on the earth's surface...
Text Solution
|
what is the value of acceleration due to gravity at the centre ...
Text Solution
|
State Kepler's third law of planetary motion and prove it co...
Text Solution
|
Prove is the rate of change of angular momentum of the earth ...
Text Solution
|
When 1g H(2) is mixed with 1 g He than find (I ) gamma ...
Text Solution
|
A gas chnages its . State from (p(0) , V(0) to ( 2p(0) , 3 V(...
Text Solution
|
Is work a thermodynamic variable ?
Text Solution
|
A diatomic gas expands adiabtically and final volume is 32 tim...
Text Solution
|
In adiabatic expansion , what is the source of energy to do th...
Text Solution
|