Home
Class 11
PHYSICS
Density of mercury is 13.6 g*cm^(-3) " a...

Density of mercury is `13.6 g*cm^(-3) " at " 0^(@)C.` What will be the volume of 100 g of mercury at `100^(@)C`? Coefficient of real expansion of mercury `1/5550""^(@)C^(-1).`

Text Solution

Verified by Experts

Here, density of mercury at `0^(@)C, rho_(0)=13.6 g*cm^(-3)`
Coefficient of real expansion, `gamma=1/5550""^(@)C^(-1)`
Increase in temperature, `t=100-0=100^(@)C`
`therefore` Density of mercury at `100^(@)C`,
`rho_(100)=rho_(0)/(1+gammat)=13.6/(1+100/5550)=(13.6 times 5550)/5650`
`" "=13.359g*cm^(-3)`
`therefore` Volume of 100 g of mercury at `100^(@)C`
`=100/13.359=7.485cm^(3).`
Promotional Banner

Topper's Solved these Questions

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise SECTION RELATED QUESTIONS|6 Videos

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise HIGHGER ORDER THINKING SKILL (HOTS) QUESTIONS|31 Videos

  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos

  • FIRST AND SECOND LAW OF THERMODYNAMICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

A brass rod has a length of 150 cm at 40^(@)C . What will be its length at 100^(@)C ? The coefficient of linear expansion of brass is 18 times 10^(-6@)C^(-1) .

An aluminium sphere of diameter 20 cm is heated from 0^(@)C " to " 100^(@)C . What will be its change in volume? Coefficient of linear expansion of aluminium =23 times 10^(-6@)C^(-1) .

Explain the statement- "The coefficient of real expansion of mercury is 0.00018l^@C . "

A barometer with a brass scale reads 75.34 cm at 25^(@)C . The scale was graduated at 20^(@)C. What will be the reading of the barometer at 0^(@)C ? Coefficient of linear expansion alpha for brass =18 times 10^(-6@)C^(-1) and coefficient of linear expansion gamma for mercury =18 times 10^(-5@)C^(-1).

Density of mercury at 15^(@)C is 13.56g*cm^(-3) and its coefficient of real expansion is 18 times 10^(-5@)C^(-1). What will be the mass of 600cm^(3) of mercury at 130^(@)C ? What will be the volume of 600 g of mercury at 130^(@)C ?

A thin long glass tube of uniform cross-section contains 1 m long mercury thread at 0^(@)C. At 100^(@)C , the mercury thread increases by 16.5 mm. If the coefficient of real expansion of mercury is 0.000182^(@)C^(-1) , find the coefficient of linear expansion of glass.

A mercury thermometer contains 0.4cm^(3) of mercury at 0^(@)C. The diameter of the capillary tube of the thermometer is 0.2 mm. What should be the length of the scale to measure temperatures between 0^(@)C " to " 100^(@)C ? The coefficient of apparent expansion of mercury =1.7 times 10^(-4@)C^(-1).