Question

When water freezes, its volume increases by 1/11 . While melting, by what fraction does the volume of ice change?

Answer 1

The volume of ice changes by 1/12

Step-by-step explanation

Lets assume the volume of the water is V

When water freezes, its volume increases by 1/11 . So, the new volume of the ice
`= V+ (V)/(11)= (11V+V)/(11) = (12V)/(11)`

When the ice is melting, it returns to its original volume V. So, the volume decreased while melting
`= (12V)/(11)- V = (V)/(11)`

This time the volume has decreased
`(V)/(11)` from a starting point of
`(12V)/(11)`

So, the fraction of change will be :
`((V)/(11))/((12V)/(11)) = (V)/(12V)= (1)/(12)`