A closed hollow insulated cylinder is fi...

A closed hollow insulated cylinder is filled with gas at `0^(@)C` and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to `100^(@)C`. If the piston moves `5 cm` the length of the hollow cylinder is

`13.65 cm`

`27.3 cm`

`38.6 cm`

`64.6 cm`

Text Solution

Verified by Experts

The correct Answer is:

ltbgt `(PV)/(T) = Const, (l)/(T) = Const, (l_(1))/(T_(1)) = (l_(2))/(T_(2))`

Topper's Solved these Questions

THERMAL PROPERTIES OF MATTER
NARAYNA|Exercise LEVEL-I (C.W.)|23 Videos
THERMAL PROPERTIES OF MATTER
NARAYNA|Exercise LEVEL-II (C.W.)|27 Videos
THERMAL PROPERTIES OF MATTER
NARAYNA|Exercise Examples|50 Videos
SYSTEM OF PARTICLES AND ROTATIONAL MOTION
NARAYNA|Exercise EXERCISE - IV|39 Videos
THERMODYNAMICS
NARAYNA|Exercise Exercise|187 Videos

Similar Questions

Explore conceptually related problems

A uniform tube closed at both ends with a light piston in the middle contains a gas at 27^(@)C .If one part is heated to 127^(@)C the piston moves by 10cm .Then the length of the tube containing gas at higher temperature is

A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l_(1) , and that below the piston is l_(2) , such that l_(1)gtl_(2) . Each part of the cylinder contains n moles of an ideal gas at equal temeprature T. If the pistion is stationary, its mass, m, will be given by : (R is universal gas constant and g is the acceleration due to gravitey)

A gas is filled in the cylinder shown in fig. The two pistons are joined by a string. If the gas is heated, the right piston will

A masslesss piston divides a closed thermallyy insulated cylinder into two equal parts. One part contains M = 28 g of nitrogen. At this temperature, one-third of molecules are dissociated into atoms and the other part is evacuated. The piston is released and the gas fills the whole volume of the cylinder at temperature T_(0) . Then, the piston is slowly displaced back to its initial position. calculate the increases in internal energy of the gas. Neglect further dissociation of molecules during, the motion of the piston.

A weightless piston divides a thermally insulated cylinder into two equal parts. One part contains one mole of an ideal gas with adiabatic exponent gamma , the other is evacuated. The initial gas temperature is T_0 . The piston is released and the gas fills the whole volume of the cylinder. Then the piston is slowly displaced back to the initial position. Find the increment of the internal energy and entropy of the gas was resulting from these two processes.

An insulated cylinder contains nitrogen gas which is sealed on the top by a heavy metal piston of mass m. piston is free to move with negligible friction, initial height of the piston is 0.3 m at temperature 27^(@)C when it is givenn some heat with the help of an electrical circuit piston slowly rises to height 0.5 m above the bottom of the cylinder. During expansion of te gas, net heat absorbed by the nitrogen gas:

In a cylindrical container two pistons enclose gas in two compartments as shown in the figure. The pistons have negligible thickness and can move without friction. The sys- tem is originally in equilibrium. The outer piston is slowly moved out by 10 cm and the inner piston is found to move by 4 cm. Find the distance of the inner piston in equilibrium from the closed end of the cylinder if the outer piston is slowly moved out of the cylinder. Assume temperature of the gas to remain constant.

A vertical cylinder with heat-conducting walls is closed at the bottom and is fitted with a smooth light piston. It contains one mole of an ideal gas. The temperature of the gas is always equal to the surrounding\s temperature, T _(0), The piston is moved up slowly to increase the volume of the gas to eta times. Which of the following is incorrect ?

NARAYNA-THERMAL PROPERTIES OF MATTER-LEVEL-III

A piece of metal floats on mercury. The coefficients of volume expansi...
Text Solution
|
The loss of weight of a solid when immersed in a liquid at 0^(@)C is W...
Text Solution
|
The density of a liquid of coefficient of cubical expansion gamma is r...
Text Solution
|
A uniform pressure P is exerted by an external agent on all sides of a...
Text Solution
|
The graph drawn between pressure and volume lin Boyles law experiment ...
Text Solution
|
The graph drawn between pressure and volume lin Boyles law experiment ...
Text Solution
|
In Boyles experiment for a given gas at different temperature the grap...
Text Solution
|
For an ideal gas V - T curves at constant pressure P(1) & P(2) are sho...
Text Solution
|
A volume V absolute temperature T diagram was obtained when a given ma...
Text Solution
|
Two identical container each of volume V(0) are joined by a small pipe...
Text Solution
|
A cycle tube has volume 2000 cm^(3). Initially the tube is filled to (...
Text Solution
|
A horizontal uniform glass tube of 100cm length is sealed at both ends...
Text Solution
|
A closed hollow insulated cylinder is filled with gas at 0^(@)C and al...
Text Solution
|
Two thermally insulated vessel 1 and 2 are filled with air at temperat...
Text Solution
|
Two identical containers A and B with frictionless pistons contain the...
Text Solution
|
A closed container of volume 0.02m^3contains a mixture of neon and arg...
Text Solution
|
Which of the following shown the correct relationship between the pres...
Text Solution
|
A ring shaped tube contain two ideal gases with equal masses and relat...
Text Solution
|
V-T diagram for a process of given mass of ideal gas is as shown in fi...
Text Solution
|
Find the minimum attainabel pressure of one mole of an ideal gas. If d...
Text Solution
|