(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

$A$ body of length $1 \; m$ having a cross-sectional area of $0.75 \; m^2$ has heat flow through it at the rate of $6000 \; J/s$. Find the temperature difference if the thermal conductivity $K = 200 \; J \cdot m^{-1} \cdot s^{-1} \cdot K^{-1}$.

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$A$ composite slab is prepared with two different materials $A$ and $B$. The relation between their coefficients of thermal conductivity and thickness is given as $K_A = \frac{K_B}{2}$ and $X_A = 2 X_B$, respectively. If the temperatures of the outer faces of $A$ and $B$ are $75^{\circ} C$ and $50^{\circ} C$ respectively, what will be the temperature of the common surface (in $^{\circ} C$)?

MediumTS EAMCET 2020

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Rate of flow of heat through a cylindrical rod is $H_1$. The temperatures at the ends of the rod are $T_1$ and $T_2$. If all the dimensions of the rod become double and the temperature difference remains the same, and if the rate of flow of heat becomes $H_2$, then $H_2 =$

DifficultMHT CET 2026

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If the radius and length of a copper rod are both doubled,the rate of flow of heat along the rod increases ....... times.

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$A$ metal utensil is generally preferred for cooking because ......

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$A$ body of length $1 \; m$ having a cross-sectional area of $0.75 \; m^2$ has heat flow through it at the rate of $6000 \; J/s$. Find the temperature difference if the thermal conductivity $K = 200 \; J \cdot m^{-1} \cdot s^{-1} \cdot K^{-1}$.

Rate of flow of heat through a cylindrical rod is $H_1$. The temperatures at the ends of the rod are $T_1$ and $T_2$. If all the dimensions of the rod become double and the temperature difference remains the same, and if the rate of flow of heat becomes $H_2$, then $H_2 =$

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