Question

The density of a solid decerase by 0.5% when it is heated from 0degree c to 100 degree c .what is the coefficent of linear expansion of the solid???​

Answer 1

Answer:

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Explanation:

 In the above problem,

Change in temperature=100 Deg C

% change in density is 0.5 %, which indicates

(change in density/ original density)* 100= 0.5

Using the formula

Change in Volume/ Original volume= Coeffient of volume expansion * change in temp   .......................(1)

and expressing the volumes in terms of density using basic relation

density= mass/ volume

change in density/ original density=  original volume/change in volume as mass will not change on heating

we can  express the formula given in the equation (1) as

original density/ change in density= Coeffient of volume expansion * change in temp

Change in density/original density* 100=100/ (Coeffient of volume expansion * change in temp)

Change in density/original density* 100= 0.5

therefore

0.5=100/(Coeffient of volume expansion * 100)

Coeffient of volume expansion= 1/ 0.5=2 Deg C

and hence using the relation between Coeffient of linear expansion and Coeffient of volume expansion

Coeffient of linear expansion= Coeffient of volume expansion/3= 2/3= 0.667 Deg C

Answer 2

Answer:

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Explanation:

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