The thermal power of density 100J/m^(3) is generated at a constant rate inside a uniform sphere of radius 10m and thermal conductivity `0.25wm^(-1)k^(-1)` .The temperature inside the sphere at a distance "5m" from center will be, if steady state temperature at surface is 600k

The thermal powered density u is generated uniformly inside a uniform sphere of radius R and thermal conductivity Find the temperature distribution in the sphere when the steady state temperature at the surface is T_(0) .

The thermal power of density omega is generated uniformly inside a uniform sphere of radius R and heat conductivity coefficient x . Find the temperature distribution in the sphere provided the steady-state temperature at its surface is eqal to T_0 .

Steam at 373 K is passed through a tube of radius 10 cm and length 2 m. The thickness of the tube is 5 mm and thermal conductivity of the material is 390 W m^(-1) K^(-1). The outside temperature is 0C. The heat lost per second in J is

A cylindrical block of length 0.4 m and area of cross-section 0.04 m^2 is placed coaxially on a thin metal disc of mass 0.4 kg and of the same cross - section. The upper face of the cylinder is maintained at a constant temperature of 400 K and the initial temperature of the disc is 300K . if the thermal conductivity of the material of the cylinder is 10 "watt"// m.K and the specific heat of the material of the disc is 600J//kg.K , how long will it take for the temperature of the disc to increase to 350 K ? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to be thermally insulated except for the upper face of the cylinder.