Home
Class 11
PHYSICS
The density of wathr at 0^C is 0.998 g ...

The density of wathr at `0^C` is 0.998 g cm^(-3) at `4^C` is `1.00 g cm^(-3)`. Calculate the average coefficient of volume expansion of water in th etemperature range 0 to `4^C`.

Text Solution

Verified by Experts

`f_0^0C=0.998 g/cm^3`
`f_4^0C=1g/cm^3`
we know, `f_0^0C = f_4^0C/1+gamma Delta t`
`rArr 0.998=1/1+gamma.4`
`rArr 1+4 gamma =1/0.998`
`rArr 4 gamma=(1/0.998)-1`
`rArr gamma= 0.0005=5xx 10^-4`
As density decreases
`gamma =-5 xx 10^-4`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEAT AND TEMPERATURE

    HC VERMA|Exercise Exercise|4 Videos

  • HEAT AND TEMPERATURE

    HC VERMA|Exercise Objective 2|6 Videos

  • GRAVITATION

    HC VERMA|Exercise Exercises|39 Videos

  • HEAT TRANSFER

    HC VERMA|Exercise EXERCIESE|1 Videos

Similar Questions

Explore conceptually related problems

The density of water at 20^(@)"C is 998 kg/m"^(3) and at 40^(@)"C 992 kg/m"^(3) . The coefficient of volume expansion of water is

At 100^(@)C and 1 atm , if the density of the liquid water is 1.0 g cm^(-3) and that of water vapour is 0.0006 g cm^(-3) , then the volume occupied by water molecules in 1 L of steam at this temperature is

Knowledge Check

  • The density of a liquid at 100^(@)C is 8.0g//cm^(3) and at 0^(@)C is 8.4g//cm^(3) , the coefficient of cubical expansion of the liquid is

    A
    `10^(-4)//^(@)C`
    B
    `5 xx 10^(-4)//^(@)C`
    C
    `8 xx 10^(-4)//^(@)C`
    D
    `4 xx 10^(-4)//^(@)C`

  • The density of a substance at 0^(@)C is 10 g//c.c. and at 100^(0)C its density os 9.7g//c.c. The coefficient of linear expansion of the sunstance is.

    A
    `10^(-4//@)C `
    B
    `3 xx 10^(-4//@)c`
    C
    `6 xx 10^(-4//@)c`
    D
    `9 xx 10^(-4//@)C`

  • The density of a substance at 0^(@)C is 10 g//c c and at 100^(@)C , its density is 9.7 g//c c . The coefficient of linear expansion of the substance is

    A
    `10^(2)`
    B
    `10^(-2)`
    C
    `10^(-3)`
    D
    `10^(-4)`

    • Similar Questions

    Explore conceptually related problems

    The density of ice is 0.918 g"cm"^(-3) and that of water is 1.03 g"cm"^(-3). An iceberg floats with a portion of 224 m^(3) outside the surface of water. Find the total volume of the iceberg.

    The density of a substance at 0^@C 10 g//c c and 100^@C, its density is 9.7 g//c c. The coefficient of linear expansion of the substance is

    At 100^(@)C and 1 atm, if the density of the liquid water is 1.0 g cm^(-3) and that of water vapour is 0.0006 g cm^(-3) , then the volume occupied by water molecules in 1 L steam at this temperature is

    At 100^(@)C and 1 atm. If the density of liquid water is 1.0 g cm^(-3) and that of water vapour is 0.0006 gcm^(-3) , then the volume occupied by water molecules in 1 litre of steam at that temperature

    A metre rod of silver at 0^(@)C is heated to 100^(@)C . It's length is increased by 0.19 cm. coefficient of volume expansion of the silver rod is

    Home
    Profile