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 cthe cross-sectional are of the cylinder. at this time, the temperature of the gas has become.

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

A metal sphere connected by a string is dipped in a liquid of density rho as shown in figure. The pressure at the bottom of the vessel will be, (p_(0) =atmospheric pressure )

A metal sphere connected by a string is dipped in a liquid of density rho as shown in figure. The pressure at the bottom of the vessel will be, (p_(0) =atmospheric pressure )

In the figure shown the velocity and pressure of the liquid at the cross section (2) are given by (If P_(0) is the atmospheric pressure).

In the figure shown the velocity and pressure of the liquid at the cross section (2) are given by (If P_(0) is the atmospheric pressure).

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 amount n (in moles) of a monatomic gas at initial temperature T_(0) is enclosed in a cylinderical vessel fitted with a ligth 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 adiabatic cylinder of cross section A is fitted with a mass less conducting piston of thickness d and thermal conductivity K. Initially, a monatomic gas at temperature T_(0) and pressure P_(0) occupies a volume V_(0) in the cylinder. The atmospheric pressure is P_(0) and the atmospheric temperature is T_(1) (gt T_(0)) . Find (a) the temperature of the gas as a function of time (b) the height raised by the piston as a function of time. Neglect friction and heat capacities of the container and the piston.

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)?

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)?