Thermal Propert...

If the thermal conductivity of the material of the rod of length $$l$$, is $$K$$, then the rate of heat flow through a tapering rod, tapering from radius $$r_{1}$$ and $$r_{2}$$, if the temperature of the ends are maintained at $$T_{1}$$ and $$T_{2}$$, is

The ice is filled in a hollow glass sphere of thickness $$2\ mm$$ and external radius $$10\ cm$$. This hollow glass sphere with ice now placed in a bath containing boiling water at $$100^{\circ}C$$. The rate at which ice melts, is: (Neglect volume change in ice)
(Given : thermal conductivity of glass $$1.1\ W/m/K$$, latent heat of ice $$= 336\times 10^{3} J/kg$$).

A block of ice at $$0^{\circ}$$ rests on the upper surface of the slab of stone of area $$3600\ cm^{2}$$ and thickness of $$10\ cm$$. The slab is exposed on the lower surface to steam at $$100^{\circ}C$$. If $$4800\ g$$ of ice is melted in one hour, then the thermal conductivity of stone is:
(Given: The latent heat of fusion of ice $$= 80\ cal/gm)$$.

The value of $$ C_p - C_v $$ is 1:00 R for a gas sample in state A and is 1.08 R in state B. Let $$ P_A, P_a $$ denote the pressures and $$ T_A\ and\ T_a $$ denote the temperature of the states $$A$$ and $$a$$ respectively.Most likely

If the metal sphere attached at the end of the copper rod is made of brass, whose thermal conductivity is $$K_{b}<K$$, then which of the following statements is true?

A heater of constant power is used to boil water in a pot. During heating, temperature of water increases from $$ 60^o C$$ to $$65^o C $$ in $$1.0 \ min$$. When the heater is switched off, temperature of water falls from $$ 65^o C$$ to $$60^o C $$ in $$9.0 \ min$$. If rate of heat dissipation to the surrounding remains almost constant, what proportion of heat received by water during heating would be dissipated to the surroundings?

After the steady state conditions are reached, the temperature of the spherical end of the rod, $$T_{S}$$ is:

The net power that will be radiated out, $$P_{S}$$, from the sphere after steady state conditions are reached is:

After the tea is added to the thermos, the temperature of the liquid quickly falls from $$80^{o}C$$ to $$75^{o}C$$ as $$i$$ reaches thermal equilibrium with the thermos flask
What is the heat capacity of the thermos?

An alternative method for keeping the tea hot would be to place the teapot on a $$10$$ pound block that has been heated in an oven to $$300^{o}C$$. A block of which of the following substance would best  be able to keep the tea hot?