A cylindrical tube of uniform cross-sect...

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless position. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is `p_(o)` and temperature is `T_(o),` atmospheric pressure is also `p_(o)` Now the temperature of the gas is increased to `2T_(0),` the tension in the wire will be

`2p_(o)A`

`p_(o)A`

`(p_(o)A)/2`

`p_(o)A`

Text Solution

Verified by Experts

The correct Answer is:

Volume of the gas is constant
V= constant

`therefore propTi.e.,` Pressure will be doubled, temperature is doubled
`therefore" "p=2p_(o)`
Now let F be the tension in the wire. Then equilibrium of any one piston gives.
`F=(p-p_(o))A=(2p_(o)-p_(o))A=p_(o)A`

Topper's Solved these Questions

THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES
DC PANDEY ENGLISH|Exercise B medical entrance special format questions|14 Videos
THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES
DC PANDEY ENGLISH|Exercise Match the columns|5 Videos
THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES
DC PANDEY ENGLISH|Exercise Check point 14.4|25 Videos
SUPERPOSITION OF WAVES
DC PANDEY ENGLISH|Exercise Level 2 Subjective|8 Videos
THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES
DC PANDEY ENGLISH|Exercise Level 2 Subjective|9 Videos

Similar Questions

Explore conceptually related problems

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is P_0 and temperature is T_0 , atmospheric pressure is also P_0 . Now the temperature of the gas is increased to 2T_0 , the tension in the wire will be

shows a cylindrical tube of cross-sectional area A fitted with two frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the temperature of the gas is T_(0) and its pressure is p_(0) which equals the atmospheric pressure, (a)What is the tention in the wire?(b)What will be the tention if the temperature is increased to 2T_(0)?

Two identical containers joned by a small pipe initially contain the same gas at pressue p_(o) and abosolute temperature T_(o^.) One container is now mantained at the same temperature while the other is heated to 2T_(0^.) The commmon pressure of the gases will be

An ideal gas is enclosed in a cylinder fitted with a frictionless piston. The piston is connected with a light rod to one plate of capacitor whose other plate is fixed as shown. Initially volume of the gas inside the cylinder is V_0 Atmospheric pressure is P_0 separation between the plates is L, area of the piston as well as of the capacitor plates is A and emf of battery is epsilon . A heater supplies heat to the gas so that pressure of the gas is given as P=P_(0)-("n"epsilon_0epsilon^2)/L^2 when piston is displaced by a distance L/2 . Find value of n.

Two idential container joined by a small pipe initially contain the same gas at pressure p_(0) and absolute temperature T_(0) . One container is now maintained at the same temperature while the other is heated to 2T_(0) . The common pressure of the gas

Two cylienders fitted with pistons and placed as shown, connected with string through a small tube of negligible volume, are filled with gas at pressure P_(0) and temperature T_(0) . The radius of smaller cylinder is half of the other. If the temperature is increased to 2 T_(0) , find the pressure if the piston of bigger cylinder moves towards left by 1 metre ?

A thin - walled cylinder of mass (m), height (h) and cross- sectional area (A) is filled with a gas and floats on the surface of water. As a result of leakage from the lower part of the cylinder, the depth of its submergence has increased by Delta h . Find the initial pressure p_(1) of the gas in the cylinder if the atmospheric pressure is p_(0) and the temperature remains constant.

An ideal gas is found to obey the law V^2T = constant . The initial pressure and temperature are P_0 and T_0 . If gas expands such that its pressure becomes (P_0)/4 , then the final temperature of the gas will be

The air tight and smooth piston of a cylindrical vessel are connected with a string as shown. Initially pressure and temperature of the gas are P_(0) and T_(0) . The atmospheric pressure is also P_(0) . At a later time, tension in the string is (3)/(8) P_(0)A where A is the cross-sectional are of the cylinder. at this time, the temperature of the gas has become.

A diatomic gas is enclosed in a vessel fitted with massless movable piston. Area of cross section of vessel is 1m^2 . Initial height of the piston is 1m (see the figure). The initial temperature of the gas is 300K. The temperature of the gas is increased to 400K, keeping pressure constant, calculate the new height of the piston. The piston is brought to its initial position with no heat exchange. Calculate the final temperature of the gas. You can leave answer in fraction.

DC PANDEY ENGLISH-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-A Tacking it together

The root mean square velocity of the molecules in a sample of helium i...
Text Solution
|
At room temperature, the rms speed of the molecules of a certain diato...
Text Solution
|
A ring shaped tube contain two ideal gases with equal masses and mola...
Text Solution
|
Figure shows two flasks connected to each other. The volume of flask 1...
Text Solution
|
1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at...
Text Solution
|
A cyclic process 1-2-3-4-1 is depicted on V-T diagram. The p-T and p-V...
Text Solution
|
A cyclic process ABCD is shown in the p-V diagram. Which of the follow...
Text Solution
|
Find the average kinetic energy per molecule at temperature T for an e...
Text Solution
|
The p-T graph for the given mass of an ideal gas is shown in figure. W...
Text Solution
|
A sphere of diameter 7.0 cm and mass 266.5 g float in a bath of liquid...
Text Solution
|
Pressure versus temperature graph of an ideal gas of equal number of m...
Text Solution
|
A cylindrical steel plug is inserted into a circular hole of diameter ...
Text Solution
|
The given curve represents the variation of temperature as a function ...
Text Solution
|
The mass of hydrogen molecule is 3.32xx10^(-27) kg. If 10^(23) hydroge...
Text Solution
|
The coefficient of apparent expansion of a liquid in a copper vessel i...
Text Solution
|
Two identical containers joned by a small pipe initially contain the s...
Text Solution
|
A piece of metal weighs 46 g in air and 30 g in liquid of density 1.24...
Text Solution
|
A vertical cylinder closed at both ends is fitted with a smooth piston...
Text Solution
|
Three rods of equal length are joined to from an equilateral triangle ...
Text Solution
|
A cylindrical tube of uniform cross-sectional area A is fitted with tw...
Text Solution
|