Home
Class 11
PHYSICS
A cylindrical tube of cross sectional ar...

A cylindrical tube of cross sectional area A and length L is filled with an ideal gas. Temperature of the gas varies linearly from `T_(0)` at one end to` 2 T_(0)` at the other end. Calculate the number of mole of the gas in the tube assuming pressure to be uniform throughout equal to P.

Text Solution

Verified by Experts

The correct Answer is:
`(PAL)/(RT_(0))In 2`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    ARIHANT|Exercise Level 2|18 Videos
  • KINETIC THEORY OF GASES

    ARIHANT|Exercise Level 3|4 Videos
  • KINEMATICS

    ARIHANT|Exercise Level 3|33 Videos
  • MOMENTUM AND CENTRE OF MASS

    ARIHANT|Exercise Momentum And Center of Mass|117 Videos

Similar Questions

Explore conceptually related problems

A uniform tube of volume V contains an ideal monatomic gas at a uniform pressure P the temperature of the gas varies linearly along te length of the tube ad T and 2 T are the temperature at the ends.

An adibatic cylindrical tube of cross-sectional area 1 cm^(2) is closed at one end fitted with a piston at the other end. The tube contains 0.03 g of an ideal gas . At 1 atm pressure and at the temperture of the surrounding, the length of the gas column. The pressure of the gas falls to 0.355 atm . Find th speed of sound in the gas at atmospheric temperture.

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

A cylindrical tube ofuniform cross sectional area A is fitted with two frictionless pistons, as shown in figure-2.46. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is equal to atmospheric pressure P_0 and temperature is T^0 . If the temperature of the gas is increased to 2T_0 , find the tension in the wire.

One mole of ideal gas is filled in "2" litre flask at 0^(@)C ,the pressure of the gas 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)?

A cylindrical tube of cross-sectional area A has two air tight frictionless pistons at its two ends. The pistons are tied with a straight two ends. The pistons are tied with a straight piece of metallic wire. The tube contains a gas at atmospheric pressure P _(0) and temperature T _(0). If temperature of the gas is doubled then the tension inthe wire is -

The temperature of a mono-atomic gas in an uniform container of length L varies linearly from T_(0)"to"T_(L) as shown in the figure. If the molecular weight of the gas is M, then the time taken by a wave pulse in traveling from end A to end B is