Home
Class 11
PHYSICS
One face of a copper plateof area 5m^(2)...

One face of a copper plateof area `5m^(2)` and thickness 0.01m is in contact with water boiling at `100^(@)C`, the other face is at `0^(@)C`. Find the heat conducted in one second (K of copper `= 400 Wm^(-)K^(-1)`)

Text Solution

Verified by Experts

`A = 5m^(2) , l = 0.01 m , K = 400 Wm^(-1) K^(-1)`
`theta_(1) = 100^(@)C , theta_(2) = 0^(@) C and t = 1s ` from `Q = (KA(theta_(1)-theta_(2)t))/(l) = (400 xx 5 xx (100 -0)xx1)/(0.01) = 2 xx 10^(7)J`
`rArr (2K_(2)A_(1)(theta_(1) - theta))/(l_(1)) = (K_(1)A(theta - theta_(2)))/(l_(1)) rArr 2 (theta_(1) - theta) = (theta - theta_(2))`
But `(theta_(1) - theta_(2)) = (theta_(1) + theta) + (theta - theta_(2)) rArr (theta_(1) - theta_(2)) = 3(theta_(1) - theta)`
`rArr (theta_(1) - theta) = ((theta_(1) - theta_(2))/(3)) = (36)/(3) = 12^(@)C" " therefore `i.e., temperature difference across the layes P is `12^(@)C`
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise TEST YOUR SELF|6 Videos

  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise VERY SHORT ANSWER TYPE QUESTIONS|28 Videos

  • THERMOMETRY

    AAKASH SERIES|Exercise Numerical Exercise (LEVEL- 1)|11 Videos

  • TRANSMISSION OF HEAT

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer/Subjective Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

A window used to thermally insulate a room from outside consists of two parallel glass sheets each of area 2.6 m^(2) and thickness 1 cm separated by 5 cm thick stagnant air. In the steady state, the room glass interface is at 18^(@) C and the glass-outdoor interface is at and air are respectively 0.8 Wm^(-1) K^(-1) and 0.08 Wm^(-1) K^(-1) , the rate of flow of heat through the window is

A slab of stone of area 3600 cm^(2) and thickness 10 cm is exposed on the lower surface to steam at 100^(@)C . A block of ice at 0^(@)C rests on upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of the stone In js^(-1) m^(-1) k^(-1) is (latent heat of ice = 3.36 xx 10^(5) j//kg )

A rectangular block of copper (K= 0. 9). of thickness 5cm and area of cross section 10 cm^(2) has one of its faces maintained at a constant temperature of 100^(@) C while the opposite face is in contact with ice at 0^(@)C . If there is no loss of heat, the amount of ice that melts in 10 minutes is

Explain thermal conductivity and coefficient of thermal conductivity. A copper bar of thermal conductivity 401 W (mK) has one end at 104^(@)C and the other end at 24^(@)C . The length of the bar is 0.10 m and the cross- sectional area is 1.0 x 10^(-6)m^(-2) What is the rate of heat conduction , along the bar ?

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of them is at 100^(@)C While the other one is at 0^(@)C . If the bodies are brought in contact, then a final common temperature

A compound slab is made with two different materials A and B with coefficient of thermal conductivity K_(A) = 2K_(B) and thickness x_(A) = (1)/(2) x_(B) . If the face of the A surface is at 100^(@)c and that of the B surface is at 25^(@)C the temperature of the common surface will be

An ice box made of styrofoam (thermal conductivity =0.01" Jm"^(-1)s^(-1)K^(-1) ) is used to keep liquids cool. It has a total wall area including lid of 0.8" m"^(2) and wall thickness of 2.0 cm. A bottle of water is placed in the box and filled with ice. If the outside temperature is 30^(0)C the rate of flow of heat into the box is : (in J-s^(-1) )