Suppose the bent part of the frame of the previous problem has a thermal conductivity of `780s^(-1)m^(-1)`^(@)C^(-1)` whereas it is `390Js^(-1)m^(-1)`^(@)C^(-1)` for the staight the bent part to the rate of heat flow through the staight part.

Suppose the bent part of the frame of the previous problem has a thermal conductivity of 780s^(-1)m^(-1).^(@)C^(-1) whereas it is 390Js^(-1)m^(-1).^(@)C^(-1) for the straight the bent part to the rate of heat flow through the straight part.

A brass boiler of base area 0.10 m^2 and thickness 1.0 boils water at the rate of 5.0 kg "min"^(-1) when placed on a stove. The thermal conductivity of brass is 109 J s^(-1) m^(-1) ""^@C^(-1) and heat of vaporisation of water is 2256 Jg^(-1) . If the temperature of the part of the flame in contact with the boiler is T = (3^p 2^q 5^r 11^s)/(109) , then find the value of p+q+r+s.

Problems based on continuity part 1

Two rods, one made of copper and the other steel of the same length and cross sectional area are joined together. (The thermal conductivity of copper is 385 J.s^(-1) .m^(-1). K^(-1) and steel is 50 J.s^(-1).m-^(1).K^(-1) .) If the copper end is held at 100^(@)C and the steel end is held at 0^(@)C , what is the junction temperature (assuming no other heat losses) ?

The thermal conductivity of aluminium is 0.5 cal s^-1cm^-1 "@_C^-1 .Express it in S.I. system.

Which of the following part is 1 s of 1 h?

Assertion : The S.I. unit of thermal conductivity is watt m ^(1)1 K^(1) . Reason : Thermal conductivity is a measure of ability of the material to allow the passage of heat through it.

A room has s window fitted with a single 0.1mxx2.0m glass of thickness 2mm. (a) Calculate the rate of heat flow through the clossed window when the temperature inside the room is 32^(@)C and that outside is 40^(@)C . (b) The glass is now replaced by two glasspance, each having a thickness of 1mm and separated by a distance of 1mm. Calculalte the rate of heat flow under the same condition of temperature. Thermal conductivity of window glass =1.0Js^(-1)m^(-1) ^(@)C^(-1) and that of air =0.025Js^(-1)m^(-1) ^(@)C^(-1) .

Problems on Logarithmic Function-Part 1