(D) The rate of heat flow through the walls is given by the formula: $\frac{dQ}{dt} = \frac{KA \Delta \theta}{l}$.Given: $K = 0.01\;J/(m\cdot s\cdot ^

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(D) The rate of heat flow through the walls is given by the formula: $\frac{dQ}{dt} = \frac{KA \Delta \theta}{l}$.Given: $K = 0.01\;J/(m\cdot s\cdot ^\circ C)$,$A = 1\;m^2$,$l = 5.0\;cm = 0.05\;m$,and $\Delta \theta = 30^\circ C - 0^\circ C = 30^\circ C$.Substituting the values: $\frac{dQ}{dt} = \frac{0.01 \times 1}{0.05} \times 30 = 6\;J/s$.Total heat transferred in one day $(t = 86400\;s)$: $Q = \frac{dQ}{dt} \times t = 6 \times 86400 = 518400\;J$.The mass of ice melted is given by $Q = mL$,where $L = 334 \times 10^3\;J/kg$.$m = \frac{Q}{L} = \frac{518400}{334 \times 10^3} = 1.552\;kg$.Converting to grams: $m = 1.552 \times 1000 = 1552\;g$.

Class 11 Physics 10-2.Heat Transfer Heat Conduction and Thermal Conductivity

Medium

An ice box used for keeping eatables cold has a total wall area of $1\;m^2$ and a wall thickness of $5.0\;cm$. The thermal conductivity of the ice box material is $K = 0.01\;J/(m\cdot s\cdot ^\circ C)$. It is filled with ice at $0^\circ C$ along with eatables on a day when the temperature is $30^\circ C$. The latent heat of fusion of ice is $334 \times 10^3\;J/kg$. The amount of ice melted in one day is ........ $g$ $(1\;day = 86,400\;s)$.

A
$776$
B
$7760$
C
$11520$
D
$1552$

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10-2.Heat Transfer

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Heat Conduction and Thermal Conductivity

For a spherical shell with inner and outer radii $r_1$ and $r_2$ respectively,the formula for the heat flow rate is = ......... where $T_1$ and $T_2$ are the temperatures of the inner and outer surfaces of the shell $(T_1 > T_2)$. The thermal conductivity of the material of the shell is $k$.

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Two rods of same length and cross-section are joined along their length. The thermal conductivities of the first and second rods are $K_1$ and $K_2$,respectively. The temperatures of the free ends of the first and second rods are maintained at $\theta_1$ and $\theta_2$,respectively. The temperature of the common junction is:

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$A$ long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature $\theta$ along the length $x$ of the bar from its hot end is best described by which of the following figures?

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The lengths and radii of two rods made of the same material are in the ratios $1:2$ and $2:3$ respectively. If the temperature difference between the ends for the two rods is the same,then in the steady state,the amount of heat flowing per second through them will be in the ratio:

Medium

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$A$ slab of stone of area $3600 \, cm^2$ and thickness $10 \, cm$ is exposed on the lower surface to steam at $100^{\circ} C$. $A$ block of ice at $0^{\circ} C$ rests on the upper surface of the slab. In one hour, $4.8 \, kg$ of ice is melted. The thermal conductivity of the stone in $J \, s^{-1} \, m^{-1} \, K^{-1}$ is (Latent heat of ice $= 3.36 \times 10^5 \, J/kg$)

MediumTS EAMCET 2016

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For a spherical shell with inner and outer radii $r_1$ and $r_2$ respectively,the formula for the heat flow rate is = ......... where $T_1$ and $T_2$ are the temperatures of the inner and outer surfaces of the shell $(T_1 > T_2)$. The thermal conductivity of the material of the shell is $k$.

$A$ long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature $\theta$ along the length $x$ of the bar from its hot end is best described by which of the following figures?

The lengths and radii of two rods made of the same material are in the ratios $1:2$ and $2:3$ respectively. If the temperature difference between the ends for the two rods is the same,then in the steady state,the amount of heat flowing per second through them will be in the ratio:

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