Home
Class 11
PHYSICS
A monatomic ideal gas, initially at temp...

A monatomic ideal gas, initially at temperature `T_(1)` is enclosed in a cylinder fitted with a frictionless pistion. The gas is allowed to expand adiabatically to a temperature `T_(2)`. By releasing the piston suddenly. IF `L_(1)` and `L_(2)` are th lengths of the gas column before and after expansion respectively, then `T_(1)//T_(2)` is given by

A

`((L_1)/( L_2))^(2/3)`

B

`(L_1)/( L_2)`

C

`( L_2)/( L_1)`

D

`((L_2)/( L_1))^(2/3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

A monoatomic ideal gas, initially at temperature T_1, is enclosed in a cylinder fitted with a friction less piston. The gas is allowed to expand adiabatically to a temperature T_2 by releasing the piston suddenly. If L_1 and L_2 are the length of the gas column before expansion respectively, then (T_1)/(T_2) is given by

A monoatomic ideal gas, initially at temperature T_1, is enclosed in a cylinder fitted with a friction less piston. The gas is allowed to expand adiabatically to a temperature T_2 by releasing the piston suddenly. If L_1 and L_2 are the length of the gas column before expansion respectively, then (T_1)/(T_2) is given by

An amount n (in moles) of a monatomic gas at initial temperature T_(0) is enclosed in a cylindrical vessel fitted with a light piston. The surrounding air has a temperature T_(s)(gtT_(0)) . And the atmospheric pressure is P_(a) . Heat may be conducted between the surrounding and the gas through the bottom of the cylinder. The bottom has a surface area A, thickness x and thermal conductivity K. Assuming all change to be slow, find the distance moved by the piston in time t.

An ideal gas expands adiabatically from an initial temperature T_(1) to a final temperature T_(2) . Prove that the work done by the gas is C_(V) (T_(1) - T_(2)) .

Two moles of an ideal gas is contained in a cylinder fitted with a frictionless movable piston, exposed to the atmosphere, at an initial temperature T_(0) . The gas is slowly heated so that its volume becomes four times the initial value. The work done by gas is

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature T_(0)=400 K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure =10^(5)N//m^(2)

One mole of an ideal monoatomic gas at temperature T and volume 1L expands to 2L against a constant external pressure of one atm under adiabatic conditions, then final temperature of gas will be:

One mole of an ideal monoatomic gas at temperature T and volume 1L expands to 2L against a constant external pressure of one atm under adiabatic conditions, then final temperature of gas will be:

The velocities of sound in an ideal gas at temperature T_(1) and T_(2) K are found to be V_(1) and V_(2) respectively. If ther.m.s velocities of the molecules of the same gas at the same temperatures T_(1) and T_(2) are v_(1) and v_(2) respectively then

The velocities of sound in an ideal gas at temperature T_(1) and T_(2) K are found to be V_(1) and V_(2) respectively. If ther.m.s velocities of the molecules of the same gas at the same temperatures T_(1) and T_(2) are v_(1) and v_(2) respectively then