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When water is changed into ice, its volume increases by 10%. If ice is changed into water, the percentage decrease in its volume will be:
Question

When water is changed into ice, its volume increases by 10%. If ice is changed into water, the percentage decrease in its volume will be:

A.

10015\frac{100}{15}%​

B.

10016\frac{100}{16}​%

C.

10011\frac{100}{11}%​

D.

100120\frac{100}{120}%​

Correct option is C

Given:

Volume increase when water turns into ice = 10%

Concept Used:

Volume change upon phase transition: The volume change percentage is reversed when the substance is converted back to its original state.

Formula Used:

Volume change on reversing a process = Initial Volume×(1+percentage change100) \text{Initial Volume} \times \left( 1 + \frac{\text{percentage change}}{100} \right)​​

Solution:
When water changes into ice, the volume increases by 10%, meaning the ice occupies 110% of the volume of the water.

Now, if the ice is changed back into water, the volume will decrease, and the volume of water will be 100% of the original volume.

The percentage decrease in volume is:

Percentage decrease = Volume of iceVolume of waterVolume of ice×100\frac{\text{Volume of ice} - \text{Volume of water}}{\text{Volume of ice}} \times 100​​

Since the volume of ice is 110% of the volume of water:

Percentage decrease = 110%100%110%×100=10011%\frac{110\% - 100\%}{110\%} \times 100 = \frac{100}{11} \%​​

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