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A glass vessel of volume V(o) is complet...

A glass vessel of volume `V_(o)` is completed filled with volume of the liquid will overflow? Cofficient of linear expansion of gass =`alpha` and coefficient of volume expension of the liquid =`gamma_(l)`

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Volume of the liquid overflown
= Increase in the volume of the liquid
" "- Increase in the volume of the container
`=[V_(o)(1+gamma_(l)DeltaT)-V_(o)l]=[V_(o)(1+gamma_(g)DeltaT)-V_(o)]`
`=V_(o)DeltaT(gamma_(l)-gamma_(g))=V_(o)DeltaVT(gamma_(l)-3alpha_(g))" "(becausegamma_(g)=3alpha_(g))`
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Solids and liquids both expands on heating. The density of substance decreases on expanding according to the relation rho_(2) = (rho_(1))/(1 + gamma(T_(2)- T_(1))) , where , rho_(1) rarr "density at" T_(1) , rho_(2) rarr "density at" T_(2) , gamma rarr coefficient of volume expansion of substances. When a solid is submerged in a liquid , liquid exerts an upward force on solid which is equal to the weight of liquid displaced by submerged part of solid. Solid will float or sink depends on relative densities of solid and liquid . A cubical block of solid floats in a liquid with half ot its volume submerged in liquid as shown in figure (at temperature T ) alpha_(S) rarr Coefficient of linear expansion of solid gamma_(L) rarr "Coefficient of volume expansion of liquid" rho_(S) rarr "Density of solid at temperature" T rho_(L) rarr" Density of liquid at temperature" T Imagine the depth of the block submerged in the liquid ,does not change on increasing temperature then

Solids and liquids both expands on heating. The density of substance decreases on expanding according to the relation rho_(2) = (rho_(1))/(1 + gamma(T_(2)- T_(1))) , where , rho_(1) rarr "density at" T_(1) , rho_(2) rarr "density at" T_(2) , gamma rarr coefficient of volume expansion of substances. When a solid is submerged in a liquid , liquid exerts an upward force on solid which is equal to the weight of liquid displaced by submerged part of solid. Solid will float or sink depends on relative densities of solid and liquid . A cubical block of solid floats in a liquid with half ot its volume submerged in liquid as shown in figure (at temperature T ) alpha_(S) rarr Coefficient of linear expansion of solid gamma_(L) rarr "Coefficient of volume expansion of liquid" rho_(S) rarr "Density of solid at temperature" T rho_(L) rarr" Density of liquid at temperature" T The relation between densities of solid and liquid at temperature T is

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DC PANDEY ENGLISH-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Medical entrance gallary
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