(D) The rate of heat flow is given by $\frac{dQ}{dt} = \frac{KA \Delta \theta}{L}$.Given: $K = 0.01 \, J/(m \cdot s \cdot ^\circ C)$,$A = 1 \, m^2$,$L

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(D) The rate of heat flow is given by $\frac{dQ}{dt} = \frac{KA \Delta \theta}{L}$.Given: $K = 0.01 \, J/(m \cdot s \cdot ^\circ C)$,$A = 1 \, m^2$,$L = 5.0 \, cm = 0.05 \, m$,$\Delta \theta = 30 \, ^\circ C - 0 \, ^\circ C = 30 \, ^\circ C$.$\frac{dQ}{dt} = \frac{0.01 \times 1 \times 30}{0.05} = 6 \, J/s$.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 $m = \frac{Q}{L_f}$,where $L_f = 334 \times 10^3 \, J/kg$.$m = \frac{518400}{334000} \approx 1.552 \, kg$.

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

Medium

An ice box is used to keep food cool,having a surface area of $1 \, m^2$ and a thickness of $5.0 \, cm$. The thermal conductivity of the ice box material is $K = 0.01 \, J/(m \cdot s \cdot ^\circ C)$. The inside temperature is maintained at $0 \, ^\circ C$ and the outside temperature is $30 \, ^\circ C$. If the latent heat of fusion of ice is $334 \times 10^3 \, J/kg$,calculate the mass of ice that melts in one day.

A
$2.90$
B
$2.20$
C
$0.85$
D
$1.55$

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10-2.Heat Transfer

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Heat Conduction and Thermal Conductivity

The thermal conductivity of a rod is $2$. What is its thermal resistivity?

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In a steady state, the graph between temperature $(\theta)$ and distance $(x)$ from the hot end is:

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In an $Ingen-Hauz$ experiment,the wax melts on two rods up to lengths of $10 \ cm$ and $25 \ cm$ respectively. If the two rods are made of different materials,what is the ratio of their thermal conductivities?

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The temperature drop through each layer of a two-layer furnace wall is shown in the figure. Assume that the external temperatures $T_1$ and $T_3$ are maintained constant and $T_1 > T_3$. If the thicknesses of the layers $x_1$ and $x_2$ are the same,which of the following statements is correct?

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Two sheets of thickness $d$ and $3d$ are touching each other. The temperature just outside the thinner sheet side is $A$,and on the side of the thicker sheet is $C$. The interface temperature is $B$. If $A, B$,and $C$ are in arithmetic progression,the ratio of the thermal conductivity of the thinner sheet to the thicker sheet is:

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The thermal conductivity of a rod is $2$. What is its thermal resistivity?

In a steady state, the graph between temperature $(\theta)$ and distance $(x)$ from the hot end is:

In an $Ingen-Hauz$ experiment,the wax melts on two rods up to lengths of $10 \ cm$ and $25 \ cm$ respectively. If the two rods are made of different materials,what is the ratio of their thermal conductivities?

The temperature drop through each layer of a two-layer furnace wall is shown in the figure. Assume that the external temperatures $T_1$ and $T_3$ are maintained constant and $T_1 > T_3$. If the thicknesses of the layers $x_1$ and $x_2$ are the same,which of the following statements is correct?

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