One mole of an ideal gas is taken throug...

One mole of an ideal gas is taken through a cyclic process as shown in the V-T diagram. Which of the following statements is true ?

The magnitude of work done by the gas is `RT_(0)ln2`.

Work done by gas is `V_(0)T_(0)`

Net work done by the gas is zero.

Work done by the gas is `2RT_(0)ln2`.

Text Solution

Verified by Experts

The correct Answer is:

`W_(AB) = W_(CA) = 0` (as volume is constant)
`W_(DA) = RT_(0) ln((2V_(0))/(V_(0))) = RT_(0) ln2`
`W_(BC) = R(2T_(0))ln ((V_(0))/(2V_(0))) = -2RT_(0) ln 2`
Total work done by the gas is
`W = W_(AB) + W_(BC) + W_(CD) + W_(DA)`
`= 0 - 2RT_(0) ln 2 + 0 + RT_(0) ln 2 = -RT_(0) ln 2`
or `|W| = RT_(0) ln 2`

Topper's Solved these Questions

THERMODYNAMICS
MTG GUIDE|Exercise NEET (ITALS)|25 Videos
THERMODYNAMICS
MTG GUIDE|Exercise AIPMT/NEET (MCQs)|26 Videos
THERMODYNAMICS
MTG GUIDE|Exercise AIPMT/NEET (MCQs)|26 Videos
PROPERTIES OF BULK MATTER
MTG GUIDE|Exercise AIPMT/NEET (MCQs)|40 Videos
WORK, ENERGY AND POWER
MTG GUIDE|Exercise AIPMT/NEET (MCQs)|34 Videos

Similar Questions

Explore conceptually related problems

Ideal gas is taken through a process as shown in figure

Ideal gas is taken through the process shown in the figure :

A cyclic process ABCD is shown in the V-T diagram. Which of the following curves represent the same process ?

A cyclic process ABCA is shown in the V-T diagram process on the P-V

Ideal gas is taken through process shown in figure

One mole of an ideal monoatomic gas is taken through a cyclic process as shown. Choose the correct option(s).

n moles of an ideal gas is taken through a four step cyclic process as shown in the diagram. Calculate work done by the gas in a cycle in terms of temperatures T_(1), T_(2), T_(3) and T_(4)

A cyclic process is shown in the p – T diagram . Which of the following curves shows the same process on the p – V diagram ?

Two moles of an ideal monoatomic gas is taken through a cyclic process as shown in the P-T diagram. In the process BC, PT^(-2)= constant. Then the ratio of heat absorbed and heat released by the gas during the process AB and process BC respectively as.

MTG GUIDE-THERMODYNAMICS-NEET Cafe (Topicwise practice Questions)

An ideal gas at pressure P and volume V is expanded to volume 2V. Colu...
Text Solution
|
A gas expands with temperature according to the relation V = KT^(2//3)...
Text Solution
|
One mole of an ideal gas is taken through a cyclic process as shown in...
Text Solution
|
Pressure P, voluume V and temperature T for a certain gas are related ...
Text Solution
|
A gas is expanded from volume V(0) to 2V(0) under three different proc...
Text Solution
|
Two moles of helium gas are taken over the cycle ABCDA, as shown in be...
Text Solution
|
The temperature of n moles of an ideal gas is increased from T to 4T t...
Text Solution
|
P-V diagram of an ideal gas is as shown in figure. Work done by the ga...
Text Solution
|
For a monoatomic ideal gas undergoing an adiabatic change, the relatio...
Text Solution
|
A polyatomic gas (gamma = (4)/(3)) is compressed to (1)/(8)^(th) of it...
Text Solution
|
An ideal gas with pressure P, volume V and temperature T is expanded i...
Text Solution
|
A given mass of gas is compressed isothermally untal its pressure is d...
Text Solution
|
A cyclic process for 1 mole of an ideal gas is shown in the V-T diagra...
Text Solution
|
Starting with the same initial conditions, an ideal gas expands from v...
Text Solution
|
An ideal gas is taken round a cyclic process represened by the triangl...
Text Solution
|
0.2 moles of an ideal gas is taken round the cycle ABC as shown in the...
Text Solution
|
A thermodynamic process is as shown in figure such that P(A) = 3 xx ...
Text Solution
|
The thermodynamic process in which no work is done on or by the gas is
Text Solution
|
The work done by a gas is maximum when it expands
Text Solution
|
An ideal gas is taken around the cycle ABCA as shown in the P-V diagra...
Text Solution
|