MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Introduction

In a cylinder...

Question

In a cylinder , $2$ mole of an ideal gas at temperature $300 k$ undergoes isothermal expansion until its volume double. Work done by the gas is $l o g_{e} 2 = 0.693)$

A

1875 J

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

B

2695 J

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

C

3457 J

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

D

4485 J

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

Open in App

Solution

The correct option is C $3457 J$
In isothermal expansion, T is constant
$P V = n R T =$ constant
$∴ P_{1} V_{1} = P_{2} V_{2} = K$ , $P = \frac{K}{V}$
Workdone $= \int P d v = \int \frac{K}{V} d c$
$= k l o g_{e} \frac{v_{2}}{v_{1}} = k l o g_{e} \frac{2 v}{v} = k l o g_{e} 2$
Also, $k = n R T = 2 \times R \times 300 = 600 R$
$∴$ Work done $= 600 R l o g_{e} 2 = 3456.9612$
$= 3.456$ kJ.

Suggest Corrections

thumbs-up

0

Similar questions

Q. In a cylinder,

2.0 m o l e s

of an ideal monatomic gas initially at

1.0 \times 10^{6} P a

300 K

expands until its volume doubles. Compute the work done if the expansion is isothermal, adiabatic and isobaric.

Q. In a cylinder,

2.0 m o l e s

of an ideal monatomic gas initially at

1.0 \times 10^{6} P a

300 K

expands until its volume doubles. The work done if the expansion is isobaric is

Q. One mole of an ideal gas undergoes an isothermal change at temperature T so that its volume V is doubled. R is the molar gas constant. Work done by the gas during this change is :

Q. n moles of an ideal monoatomic gas undergoes an isothermal expansion at temperature T during which its volume becomes 4 times. The work done on the gas and change in internal energy of the gas respectively is

Q. 5 moles of an ideal gas at 300 K and 10 atm pressure undergo isothermal reversible expansion to double its volume. Subsequently it is isothermally compressed to its original volume. What is the net heat absorbed by the gas and what is the net work done by the gas ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon