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202.


Problem 22.35 (RHK)


At a glass flask is filled by 891 g of mercury. We have to calculate the mass of mercury that is needed to fill the flask at .

The coefficient of linear expansion of glass ; and the coefficient of volume expansion of mercury is and density of mercury at ,

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Solution:           Click For PDF Version


We will first calculate the density of mercury at . Change in density with temperature is determined by the coefficient of volume expansion.



Therefore,


Volume of 891 g of mercury at will be

Change in the volume of mercury when its temperature changes from to will be

We will next calculate the change in the volume of the glass flask when its temperature changes from to . It is related to the coefficient of linear expansion .

Therefore,

The volume of the empty flask at will therefore be

We will next calculate the density of mercury at . It will be

Additional amount of mercury needed to fill the flask at will be

Therefore, the total amount of mercury in the flask at is