Home
Class 11
PHYSICS
One end of a steel rod (K =42 J//m-s-^(@...

One end of a steel rod (`K =42 J//m-s-^(@)C)` of length `1.0m` is lept in ice at `0^(@)C` and the other end is kept in boiling water at `100^(@)C`. The area of cross-section of the rod is `0.04 cm^(2)`. Assuming no heat loss to the atmosphere, find the mass of the ice melting per second. Latent heat of fusion of ice `= 3.36 xx 10^(5) J//kg`.

Text Solution

Verified by Experts

The correct Answer is:
`5 xx 10^(-5) g//s`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEAT TRANSFER

    RESONANCE|Exercise Exercise-3|1 Videos

  • HEAT TRANSFER

    RESONANCE|Exercise Advancel Level Problems|17 Videos

  • HEAT TRANSFER

    RESONANCE|Exercise Exercise-2|1 Videos

  • GRAVITATION

    RESONANCE|Exercise Exercise|21 Videos

  • KINEMATICS

    RESONANCE|Exercise Exercise|65 Videos

Similar Questions

Explore conceptually related problems

One end of a steel rod (K=46Js^(-1)m^(-1) ^(@)C^(-1) of length 1.0m is kept in ice at 0^(@)C and the other end is kept in boiling water at 100^(@)C . The area of cross section of the rod is 0.04cm^(2) . Assuming no heat loss to the atmosphere, find the mass of the ice melting per second. Latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) .

(a) One end of a steel rod (K = 46 J//m-s-.^(@)C) length 1.0 m is kept in ice at 0^(C ) and the end is kept in boling water at 100^(@)C . The area of cross-section of the rod is 0.4 cm^(2) . Assuming no heat loss to atmosphere, find the mass of of the ice melting per second. Latent heat of fusion of ice = 3.36 xx 10^(5) J//kg (b) An icebox almost completely filled with ice at 0^(@)C is dipped into a large volume of water at 20^(@)C . The box has walls of surface area 2400 cm^(2) , thickness 2.0 mm and thermal conductivity 0.6 W//m-^(@)C . Calculate the rate at which the ice melts in the box. Latent heat of fusion if ice = 3.4 xx 10^(5) J//kg .

Knowledge Check

  • One end of conducting rod is maintained at temperature 50^(@)C and at the other end ice is melting at 0^(@)C . The rate of melting of ice is doubled if:

    A
    the temperature is made `200^(@)C` and the area of cross-section of the rod is doubled
    B
    the temperature is made `100^(@)C` and the length of the rod is made four time
    C
    area of cross-section of the rod is halved and length is doubled.
    D
    the temperature is made `100^(@)C` and area of cross-section of rod and length both are doubled.

    • Similar Questions

    Explore conceptually related problems

    One end of a steel rod of length 1 m and area of cross section 4 xx 10^(-6)m^(2) is put in boiling water and the other end is kept in an ice bath at 0^(@)C. If thermal conductivity of steel is 46 W//m^(@)C, find the amount of ice melting per second if heat flow only by conduction. Given that the latent heat of fusion of ice is 3.36 xx 10^(5)J//kg.

    One end of a brass rod of length 2.0 m and cross section 1cm^2 is kept in stream at 100^@C and the other end in ice at 0^@C . The lateral suface of the rod is covered by heat insulator. Determine the amount of ice melting per minute. Thermal conductivity of brass is 110 W//m-K and specific latent heat of fusion of ice is 80 cal//g .

    How many calories of heat will be absorbed when 2kg of ice at 0^(@)C melts ? ( Specific latent heat of fusion of ice = 80 cal //g )

    Find the final temperature and composition of the mixtue of 1 kg of ice at 0^(@)C and 1.5 kg of water at 45^(@)C . Given that specific heat of water is 4200 J/kg and latent heat of fusion of ice is 3.36xx10^(5)J//kg

    One end of a copper rod of length 1m and area of cross section 4.0 xx 10^(-4) m^(2) is maintained at 100^(@)C . Neglecting the loss of heat to the surroundings find the mass ice melted in 1 hour. Given K_(Cu) = 401 watt/m - k and L_(f) = 3.35 xx 10^(5) J//kg .

    Find the final temeprature and composition of the mixture of 1 kg of ice at -10^(@)C and 4.4 kg of water at 30^(@)C . Given that specific heat of water is 4200J//kg^(@)C and that of ice is 2100J//kg^(@)C and latent heat of fusion of ice is 3.36xx10^(5) J/kg

    A metal rod AB of length 10x has its one end A in ice at 0^@C , and the other end B in water at 100^@C . If a point P one the rod is maintained at 400^@C , then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540cal//g and latent heat of melting of ice is 80cal//g . If the point P is at a distance of lambdax from the ice end A, find the value lambda . [Neglect any heat loss to the surrounding.]

    Home
    Profile