Temperature Gradient

A lagged stick of cross section area 1 cm^(2) and length 1 m is initially at a temperature of 0^(@)C . It is then kept between 2 reservoirs of temperature 100^(@)C "and" 0^(@)C . Specific heat capacity is 10J//kg^(@)C and linear mass density is 2kg//m . Find (i) Temperature gradient along the rod in steady state (ii) Total heat absorbed by the rod to reach steady state

In the figure-II temperature of inner surface of cylinder is 0^@C and temperature of outer surface is 100^@C . In figure-I temperature of one end of cylinder is 100^@C while another end is at 0^@C (dT)/(dr) =temperature gradient in radial direction at steady state in figure -II (dT)/(dl) =temperature gradient in linear direction at steady state in figure -I . both cylinder are made of uniform material

Two rods of different materials having differnet lengths and same cross sectional areas are joined end to end in a straight line. The free ends of this compound rod are maintained at different temperatures The temperature gradient in each rod will be .

The ends of a copper rod of length 1m and area of cross-section 1cm^2 are maintained at 0^@C and 100^@C . At the centre of the rod there is a source of heat of power 25 W. Calculate the temperature gradient in the two halves of the rod in steady state. Thermal conductivity of copper is 400 Wm^-1 K^-1 .

The coefficient of thermal conductivity of copper, mercury and glass are respectively K_(c), K_(m) and K_(g) that K_(c) gt K_(m) gt K_(g) . If the same quantity of heat is to flow per second per unit of each and corresponding temperature gradients are X_(c), X_(m) and X_(g) , then

A uniform copper bar 100 cm long is insulated on side, and has its ends exposed to ice and steam respectively. If there is a layer of water 0.1 mm thick at each end, calculate the temperature gradient in the bar. K_(Cu)=1.04 and K_(water)=0.0014 in CGS units.

The heat is flowing through a rod of length 50 cm and area of cross-section 5cm^(2) . Its ends are respectively at 25^(@)C and 125^(@)C . The coefficient of thermal conductivity of the material of the rod is 0.092 kcal // m × s ×.^(@) C . The temperature gradient in the rod is