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  • Stuck here, help me understand: The value of coefficient of volume expansion of glycerin is 5 x 10-4 K-1. The fractional change in the density of glycerin for a rise of 40°C in its temperature, is:

The value of coefficient of volume expansion of glycerin is 5 x 10-4 K-1. The fractional change in the density of glycerin for a rise of 40°C in its temperature, is:

 

  • Option 1)

    0.020

  • Option 2)

    0.025

  • Option 3)

    0.010

  • Option 4)

    0.015

 

Answers (1)

best_answer

As we learnt

Variation of Density with Temperature -

ho=frac{ ho}{(1+gamma Delta heta)}= ho(1-gamma Delta heta)

- wherein

Delta heta=Change in temperature

 

 

\gamma =5\times 10^{-4}K^{-1}

\rho=\frac{\rho _{o}}{1+\gamma \Delta T} \: \: =\rho _{o}(1-\gamma \Delta T)

\Rightarrow \rho =\rho _{o}-\rho _{o}\gamma \Delta T \: \: \: or \: \: \: \: \frac{\rho _{o}-\rho }{\rho _{o}}=\gamma \Delta T

\frac{\rho _{o}-\rho }{\rho _{o}} \: = \: Fractional \: change \: in \: the \: density \: of \: glycerin

             =\gamma \Delta T=5\times 10^{-4}\times 40

             = .02

                    


Option 1)

0.020

This option is correct

Option 2)

0.025

This option is incorrect

Option 3)

0.010

This option is incorrect

Option 4)

0.015

This option is incorrect

Posted by

Plabita

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