Home
Class 11
PHYSICS
One face of a copper cube of edge 10 cm ...

One face of a copper cube of edge 10 cm is maintained at `100^(@)C` and the opposite face is maintained at `0^(@)C`. All other surfaces are covered with an insulating material. Find the amount of heat flowing per second through the cube. Thermal conductivity of copper is `385Wm^(-1) C^(-1)`.

Text Solution

Verified by Experts

The heat flows from the hotter face towards the collder face. The area of cross section perpendicular to the heat flow is `A=(10cm)^(2)`. The amount of heat flowing per second is `(DeltaQ)/(Deltat)=KA(T_(1)-T_(2))/(x)` . `=(385Wm^(-1)`^(@)C^(-1))xx(0.1m)^(2)xx((100^(@)C-0^(@)C))/(0.1m)` . `=3850W` .
Promotional Banner

Topper's Solved these Questions

  • HEAT TRANSFER

    HC VERMA|Exercise worked out examples|20 Videos

  • HEAT TRANSFER

    HC VERMA|Exercise QUESTIONS FOR SHORT ANSWER|11 Videos

  • HEAT AND TEMPERATURE

    HC VERMA|Exercise Exercise|34 Videos

  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Exercises|19 Videos

Similar Questions

Explore conceptually related problems

The left end of a copper rod (length= 20cm , Area of cross section= 0.2cm^(2) ) is maintained at 20^(@)C and the right end is maintained at 80^(@)C . Neglecting any loss of heat through radiation, find (a) the temperature at a point 11cm from the left end and (b) the heat current through the rod. thermal conductivity of copper =385Wm^(-1)C^(-1) .

Two parallel plates A and B are joined together to form a compound plate . The thicknesses of the plate are 4.0cm and 2.5cm respectively and the area of cross section is 100cm^(2) for each plate. The thermal conductivities are K_(A)=200Wm^(-1) C^(-1) for plate A and K_(B)=400Wm^(-1) C^(-1) for the plate B. The outer surface of the plate A is maintained at 100^(@)C and the outer surface of the plate B is maintained at 0^(@)C . Find (a) the rate of heat flow through any cross section, (b) the temperature at the interface and (c) the equivalent thermal conductivity of the compound plate.

One end of a metal rod of length 1.0 m and area of cross section 100cm^2 is maintained at 100° C. If the other end of the rod is maintained at 0°C, the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod =100 W/m-K)

An aluminium rod and a copper rod of equal length 1.0 m and cross-sectional area. 1cm^(2) are welded together as shown in figure. One end is kept at a temperature of 20^(@)C and the other at 60^(@)C Calculate the amount of heat taken out per second from the hot end. thermal conductivity of aluminium =200Wm^(-1)C^(-1) and of copper =390Wm^(-1)C^(-1) .

Figure shows an aluminium rod joined to a copper rod. Each of the rods has a length of 20cm and area of cross section 0.20cm^(2) . The junction is maintained at a constant temperature 40^(@)C and the two ends are maintained at 80^(@)C . Calculate the amount of heat taken out from the cold junction in one minute after the steady state is reached. The conductivities are K_(Al)=200Wm^(-1)C^(-1) . and K_(Cu)=400Wm^(-1)C^(-1) .

The coefficient of thermal conductivity of copper is nine times that of steel. One end of copper is maintained at 100°C and the other end of steel is maintained at 0°C. If the corresponding lengths of the copper and iron are 18cm and 6cm respectively, What will be the temperature at the junction of copper and steel ?

What is the temperature of the steel - copper junction in the steady state of the system shown in Fig.11.15. Length of the steel rod = 15.0 cm, length of the copper reod = 10.0 cm, temperarure of the furnace = 300 ^(@) C , temperature of the furnace = 300 ^(@) C , temperature of the other end = 0^(@) C . The are of cross section of the steel rod is twice that of the copper rod. ( Thermal conductivity of steel = 50.2 J s^(-1) m^(-1) K^(-1) , and of copper = 385 J s^(-1) m^(-1) K^(-1)) .

Three rods of material x and three of material y are connected as shown in figure. All the rods are identical in length and cross sectional area. If the end A is maintained at 60^(@)C and the junction E at 10^(@)C , calculate the temperature of the junction B. The thermal conductivity of x is 800Wm^(-1)C^(-1) and that of y is 400Wm^(-1)C^(-1) .

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) .

Steam at 120^(@)C is continuously passed through a 50-cm long rubber tube of inner and outer radii 1.0cm and 1.2cm . The room temperature is 30^(@)C . Calculate the rate of heat flow through the walls of the tube. Thermal conductivity of rubber = 0.15Js^(-1)m^(-1)C^(-1) .

HC VERMA-HEAT TRANSFER-EXERCIESE
  1. One face of a copper cube of edge 10 cm is maintained at 100^(@)C and ...

    Text Solution

    |

  2. A uniform slab of dimension 10cmxx10cmxx1cm is kept between two heat r...

    Text Solution

    |

  3. A liquid-nitrogen container is made of a 1-cm thick styrofoam sheet ha...

    Text Solution

    |

  4. The normal body-temperature of a person is 97^(@)F . Calculate the rat...

    Text Solution

    |

  5. A steam engine intakes 100 g of steam at 100^(o)C per minute and cools...

    Text Solution

    |

  6. One end of a steel rod (K=46Js^(-1)m^(-1)C^(-1)) of length 1.0m is kep...

    Text Solution

    |

  7. An icebox almost completely filled with ice at 0^(@)C is dipped into a...

    Text Solution

    |

  8. A pitcher with 1-mm thick porous walls contain 10kg of water. ,Water c...

    Text Solution

    |

  9. A steel frame (K=45Wm^(-1)C^(-1)) of total length 60cm and cross secti...

    Text Solution

    |

  10. Water at 50^(@)C is filled in a closed cylindrical vessel of height 10...

    Text Solution

    |

  11. The left end of a copper rod (length=20cm, Area of cross section=0.2cm...

    Text Solution

    |

  12. The ends of a metre stick are maintain at 100^(@)C and 0^(@)C . One en...

    Text Solution

    |

  13. A cubical box of volume 216cm^(3) is made up of 0.1cm thick wood, The ...

    Text Solution

    |

  14. Figure shows water in a container having 2.0-mm thick walls made of a ...

    Text Solution

    |

  15. On a winter day when the atmospheric temperature drops to -10^(@)C , i...

    Text Solution

    |

  16. Consider the situation of the previous problem. Assume that the temper...

    Text Solution

    |

  17. Three rods of lengths 20cm each and area of cross section 1cm^(2) are ...

    Text Solution

    |

  18. A semicircular rods is joined at its end to a straight rod of the same...

    Text Solution

    |

  19. A metal rod of cross sectional area 1.0cm^(2) is being heated at one e...

    Text Solution

    |

  20. Steam at 120^(@)C is continuously passed through a 50-cm long rubber t...

    Text Solution

    |

  21. A hole of radius r(1) is made centrally in a uniform circular disc of ...

    Text Solution

    |