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 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, 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 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

One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature T. if the temperature is increased by 1K keeping pressure constant, the increase in volume is

A gas is contained in a metallic cylinder fitted with a piston.The piston is suddenly moved in to compress the gas and is maintained at this position. As time passes the pressure of the gas in the cylinder

A gas is contained in a metallic cylinder fitted with a piston.The piston is suddenly moved in to compress the gas and is maintained at this position. As time passes the pressure of the gas in the cylinder

A gas is contained in a metallic cylinder fitted with a piston.the piston is suddenly moved in to compress the gas and is maintained at this position. As time passes the pressure of the gas in the cylinder