The pressure gauge shown in figure has a spring for which `k=60N//m` and the area of the piston is `0.50cm^(2)`. Its right end is connected to a closed container of gas at a gauge pressure of `30kPa`. How far will the spring be compressed if the region containing the spring is (a) in vacuum and (b) open to the atmosphere? Atmospheric pressure is `101kPa`.

A smooth air-tight piston connected to a spring of force constant k and unstretched length l separates two regions of a tube as shown in figure. Region A is evacuted and region B is open to the atmosphere. How will you use this set up to determine the atmospheric pressure ?

A manometer is connected to a gas containing bulb. The level of mercury in open arm is 2.6 cm lower than that in the other arm of the manometer. What is the pressure of the gas if the atmospheric pressure is 752 mm Hg?

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

A manometer is connected to gas container. Then the mercury level rises by 2 cm in the arm of the manometer which is not connected to the container. If the atmospheric pressure is 76 cm of mercury, then the pressure of the gas is ________ cm of mercury.

A L Shaped tube containing liquid of density pis accelerated horizontally with acceleration as shown in the figure. The end of tube B is closed while end A is open. If the atmospheric pressure is Po . Then the pressure at B is :

A container has a tight fitting movable piston which can slide without friction. The compartment containing spring has vacuum and to the left of the piston there is diatomic gas. If vacuum is created in the right compartment also the piston touches the right wall and the spring is relaxed. Find the heat capacity of the system neglecting the heat capacities of the material of spring, container and the piston. Express your answer in terms of P_(0), V_(0) and T_(0) .

2.00 mol of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston.the piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is at its natural length and the temperature of the gas is 300 K. the atmosphere pressure is 100 kPa. the gas is heated sloewly for some time by means of an electric heater so as to move the poston up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.