A vertical hollow cylinder contains an ideal gas. The gas is enclosed by a `5kg` movable piston with an area of cross-section `5 xx 10^(-3)m^(2)`. Now, the gas is heated slowly from `300K` to `350K` and the piston rises by `0.1m`. The piston is now clamped at this position and the gas is cooled back to `300K`. Find the difference between the heat energy added during heating process and energy lost during the cooling process. `("1atm pressure" = 10^(5)Nm^(-2)]`

A cylinder of ideal gas is closed by an 8kg movable piston of area 60cm^2 . The atmospheric pressure is 100kPa. When the gas is heated form 30^@C to 100^@C , the piston rises 20 cm. The piston is then fastened in the place and the gas is cooled back to 30^@C . If DeltaQ_1 is the heat added to the gas during heating and DeltaQ_2 is the heat lost during cooling, find the difference.

N_(2) gas is heated from 300 kg temperature to 600 k through an isobaric process. Then find the change in the entropy of the gas (n = 1 mole )

An ideal monatonic gas is confined in a cylinder by a spring-loaded piston of cross section 8.0xx10^(-3) m^(2). initially the gas is at 300K and occupies a volume of 2.4xx10^(-3)m^(-3) and the sprinng is in its relaxed state. The gas is heated by a small heater until the piston moves out slowly by 0.1m. Calculate the final tenoerature of the gas. The force constant if the spring is 8000Nm^(-1) ,and the atmospheric pressure is 1.0xx10^(5)Nm^(-2).Hte cylinder and the piston are thermally insylated. The piston and the spring are massless and there is no friction between the piston and the cylinder. Neglect any heat-loss through the lead wires of the heater. The heat capacity of the heater coil is negligible.

A gas is enclosed in a cylindrical vessel fitted with a frictionless piston.the gas is slowly heated for some time. During the process, 10 J of heat is suopplied and the piston is found to move out 10cm. Find the increase in the internal energy of the gas , the area of cross section of the gas, the area of cross section of the cylinder=4 cm^(4) and the atmospheric pressure =100 kPa.

Two mole of an ideal monatomic gas are confined within a cylinder by a mass less spring loaded with a frictionless piston of negligible mass and crossectional area 4xx10^(-3)m^(2) . The gas is heated by a heater for some time. During this time the gas expands and does 50J of work in moving the piston through a distance of 0.01 m. The temperature of gas increases by 50 k. Heat supplied by heater during this process is

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature T_(0)=400 K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure =10^(5)N//m^(2)

Consider a vertical tube open at both ends. The tube consistss of two parts, each of different cross sections and each part having a piston which can move smoothly in respective tubes. The two piston which can move smoothly in respective tube wire. The piston are joined together by an inextensible wire. The combined mass of the two piston is 5 kg and area of cross section of the upper piston is 10 cm^(2) greater than that of the lower piston. Amount of gas enclosed by the pistons is 1 mol . When the gas is heated slowly, pistons move by 50 cm . Find the rise in the temperature of the gas in the form X//R K , where R is universal gas constant. Use g = 10 m//s^(2) and outside pressure = 10^(5) N//m^(2)) .

Two mole of an ideal monatomic gas are confined within a cylinder by a mass less spring loaded with a frictionless piston of negligible mass and crossectional area 4xx10^(-3)m^(2) . The gas is heated by a heater for some time. During this time the gas expands and does 50J of work in moving the piston through a distance of 0.01 m. The temperature of gas increases by 50 k. Change in internal energy of the gas is