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GATE-2013 (28), The Void ratio (in percentage) of sandstone is 25. Its porosity in percentage is

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28) The Void ratio (in percentage) of sandstone is 25. Its porosity in percentage is

(Thanks to Chandrasekhar, ANU)

Solution:

 Given that the void ratio (e) = 25 % = 0.25

 Porosity (\phi) = ?

 We know the relation between the void ratio and the porosity as

  porosity (\phi)=\frac{void ratio(e)}{1+ void ratio(e)}

\phi= \frac{e}{1+e}

\phi= \frac{0.25}{1+0.25}

\phi= \frac{0.25}{1.25}

\phi= 0.2

\phi = 20%

 

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