A slab of stone of area 0.36m ^2 and thickness 0.1 m is exposed on lower surface to steam at 100^{ci

English

Gujarati

Hindi

10-2.Transmission of Heat

medium

A slab of stone of area $0.36\;m ^2$ and thickness $0.1 \;m$ 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 slab is .......... $J / m / s /{ }^{\circ} C$ (Given latent heat of fusion of ice $=3.36 \times 10^5\; J kg ^{-1}$)

A

$1.02$

B

$1.29$

C

$1.24$

D

$2.05$

(AIPMT-2012)

Solution

$Q=m L_f$

$\frac{K A}{L}\left(T_1-T_2\right) t=m L_f$

$K=\frac{m L_f L}{A\left(T_1-T_2\right) t}$

$K=\frac{4.8 \times 3.36 \times 10^5 \times 0.1}{0.36 \times 100 \times 3600}$

$K=\frac{4.8 \times 3.36}{0.36 \times 36}=1.24\; J / m / s ^{\circ} C$

Standard 11

Physics

Share

Similar Questions

Six identical conducting rods are joined as shown in figure. Points $A$ and $D$ are maintained at temperature of $200^o C$ and $20^o C$ respectively. The temperature of junction $B$ will be ……. $^oC$

medium

In a steady state of thermal conduction, temperature of the ends $A$ and $B$ of a $20\, cm$ long rod are ${100^o}C$ and ${0^o}C$ respectively. What will be the temperature of the rod at a point at a distance of $6$ cm from the end $A$ of the rod……. $^oC$

medium

The dimensions of thermal resistance are

easy

The outer faces of a rectangular slab made of equal thickness of iron and brass are maintained at $100^{\circ} C$ and $0^{\circ} C$ respectively. The temperature at the interface is ……….. $^{\circ} C$ (Thermal conductivity of iron and brass are $0.2$ and $0.3$ respectively.)

easy

The area of the glass of a window of a room is $10\;{m^2}$ and thickness $2mm$. The outer and inner temperature are ${40^o}C$ and ${20^o}C$ respectively. Thermal conductivity of glass in $MKS$ system is $0.2$. The heat flowing in the room per second will be

easy