A quantity of air is kept in a container having walls which are slightly conducting. The initial temperature and volume are `27^0C` (equal to the temperature of the surrounding) and `800cm^(3)` respectively. Find the rise in the temperature of the gas is compressed to `200 cm^(3)` (a) in a short time (b) in a long time . Take gamma= `1.4`.

A container having slightly conducting walls contains air. The initial temperature and volume are 47^(@)C (equal to the temperature of the surrounding) and 400cm^(3) respectively. Find the rise in the temperature if the gas is compressed to 200cm^(3) (a) in a short time (b) in a short time (b) in a along time. Take gamma = 1.4. [2^(0.4) = 1.3]

In fig. the walls of the container and the piston are weakly conducting. The initial pressure, volume and temperature of the gas are 200KPa, 800 cm^(3) and 100 K resp . Find the pressure and the temperature of the gas it it is (a) slowly compressed (b) suddenly compressed to 200 cm^(3) (gamma = 1.5) .

In a steady state of thermal conduction, temperature of the ends A and B of a 20 cm long rod are 100^(@)C and 0^(@)C respectively. What will be the temperature of the rod at a point at a distance of 6 cm from the end A of the rod

A quantity of air at normal temperature is compressed (a) slowly (b) suddenly to one third of its volume. Find the rise in temperature, if any in each case, gamma= 1.4 .

A gas is enclosed in a cylindrical can fitted with a piston. The walls of the can and the piston are adiabatic. The initial pressure , volume and temperture of the gas are 100 kpa, 400cm^(3) and 300k respectively. The ratio of the specific heat capacities of the gas is (C_p / C_v = 1.5) Find the pressure and the temperature of the gas if it is (a) suddenly compressed (b) slowly compressed to 100 cm^(3).

Calculate the rise in temperature when a gas, for which gamma = 1.5 is compressed to 27 times its original pressure, assuming the initial temperature to be 27^(@)C .

One mode of an ideal monatomic gas is kept in a rigid vessel. The vessel is kept inside a steam chamber whose temperature is 97^(@)C . Initially, the temperature of the gas is 5.0^(@)C . The walls of the vessel have an inner surface of area 800cm^(2) and thickness 1.0cm If the temperature of the gas increases to 9.0^(@)C in 0.5 second, find the thermal conductivity of the material of the walls.

Helium at 27^(@)C has a volume of 8 litres. It is suddenly compressed to a volume of 1 litre. The temperature of the gas will be [gamma=5//3]

monatomic ideal gas is contained in a rigid container of volume V with walls of totsl inner surface area A, thickness x and thermal condctivity K. The gas is at an initial temperature t_(0) and pressure P_(0) . Find tjr pressure of the gas as a function of time if the temperature of the surrounding air is T_(s) . All temperature are in absolute scale.