One mole of an ideal gas at an initial t...

One mole of an ideal gas at an initial temperature true of `TK` does `6R` joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is `5//3`, the final temperature of the gas will be

A

(T –2.4) K

B

(T + 4)K

C

(T – 4) K

D

(T + 2.4)K

Text Solution

Verified by Experts

The correct Answer is:

C

`DeltaU=muC_vDeltaT` and 0 = W + `DeltaU`
`rArr DeltaU=-6R(therefore W=6R)`
Therefore -6R = `1(R/(gamma-1))DeltaT=3/2RDeltaT`
`=DeltaT=-4 rArr T_"final"=(T-4) K`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

NEET
NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise PHYSICS|157 Videos
NEET
NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise QUESTION|95 Videos
MOTION IN TWO AND THREE DIMENSION
NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise All Questions|47 Videos
NEET 2020
NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise All Questions|45 Videos

Similar Questions

Explore conceptually related problems

The molar specific heat at constant pressure of an ideal gas is (7//2 R) . The ratio of specific heat at constant pressure to that at constant volume is

For a monoatomic gas, work done at constant pressure is W. The heat supplied at constant volume for the same rise in temperature of the gas is

" If "2" mole of diatomic gas and "1" mole of monoatomic gas are mixed,then the ratio of specific heat at constant pressure and constant volume for the mixture "

4 moles of an ideal gas is at 0^(@) C . At constant pressure it is heated to double its volume, then its final temperature will be

If the temperature of a gas is increased by 1K at constant pressure its volume increase by 0.0035 of the initial volume. The temperature of the gas is

By increasing temperature of a gas by 6^@ C its pressure increases by 0.4%, at constant volume. Then initial temperature of gas is

A gas mixture contain one mole He gas and one mole O _(2) gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gasseous mixture -

NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)-NEET-MCQ

One mole of an ideal gas at an initial temperature true of TK does 6R ...
Text Solution
|
The damping force on an oscillator is directly proportional to the vel...
Text Solution
|
The motion of a particle along a straight line is described by equatio...
Text Solution
|
The horizontal range and the maximum height of a projectile are equal....
Text Solution
|
A particle has initial velocity (2 vec(i)+3 vec(j)) and acceleration (...
Text Solution
|
A car of mass 1000kg negotiates a banked curve of radius 90m on a fict...
Text Solution
|
A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...
Text Solution
|
The potential energy of a particle in a force field is: U = (A)/(r^(...
Text Solution
|
Two sphere A and B of masses m(1) and m(2) respectivelly colides. A is...
Text Solution
|
Two persons of masses 55 kg and 65 kg respectively are at the opposite...
Text Solution
|
ABC is an equilateral triangle with O as its centre vec(F(1)),vec(F(2)...
Text Solution
|
When a mass is rotating in a plane about a fixed point, its angular mo...
Text Solution
|
A spherical planet far out in space has a mass M(0) and diameter D(0)....
Text Solution
|
A geostationary satellite is orbiting the earth at a height of 5R abov...
Text Solution
|
The height a which the weight of a body becomes 1//16th its weight on ...
Text Solution
|
Two sources of sound placed close to each other are wmitting progressi...
Text Solution
|
When a string is divided into three segments of length l1,l2 and l3 th...
Text Solution
|
One mole of an ideal gas goes from an initial state A to final state B...
Text Solution
|
A thermodynamics system is taken trough the cycle ABCD as shown in fig...
Text Solution
|
Liquid oxygen at 50 K is heated to 300 K at constant pressure of 1 atm...
Text Solution
|
If the radius of a star is R and it acts as a black body, what would b...
Text Solution
|