A resistance coil, connected to an external battery is placed inside an adiabatic cylinder filled with frictionless piston of mass `m` and containing an ideal gas. A current `i` flows through the coil, which has resistance `R`. The speed with which the piston must move in order to keep the temperature of the gas constant will be

A resistance coil of resistance r connected to an external battery, is placed inside an adiabatic cylinder fitted with a frictionless platon of mass m and same area A. Initially cylinder contains one mole of ideal gas he. A current through the coil such that temperature of gas varies as T=T_(0)+"at"+"bt"^(2), keeping pressure constant with time t. Atosphere pressure above piston is P_(0) . Find (a) Current l flowing through the coil as function of time and (b) Speed of piston as function of time.

A 500 Omega resistor connected to an external battery is placed inside a thermally insulated cylinder fitted with a frictionless pistion. The cylinder contains an ideal gas. A current i of 200mA flows through the resistor as shown in the figure. The mass of the piston is 10kg. Assuming g = 10m//s^(2) , the speed at which the piston will move upward, due to heat dissipated by the resistor, so that the temperature of the gas remains unchanged is

A Perfect gas is enclosed in a vertical cylinder filled with a piston of mass m. The gas is heated by passing constant current I through a heating coil of resistance R placed inside the cylinder. At what speed v must the piston move upward in order that temperature of the gas may remain unchanges? Assume ideal insulating walls and piston and there is no fusion.

A heating element of resistance r is fitted inside an adiabatic cylinder which carries a frictionless piston of mass in and cross-section A as shown in diagram. The cylinder contains one mole of an ideal diatomic gas. The current flows through the element such that the temperature rises with time t as DeltaT = alphat + 1/2beta t^2 ( alpha and beta are constants), while pressure remains constant. The atmospheric pressure above the piston is P_0 . Then the rate of increase in internal energy is 5/2 R (alpha + beta t) the current flowing in the element is sqrt(5/(2r)(alpha +betat)) the piston moves upwards with constant acceleration the piston moves upwards with constant speed

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (Fig.) If the temperature is increased,