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There is a 16% increase in volume when a liquid freezes to its solid state. The percentage decrease when solid melts to liquid again, is?

Question

There is a 16% increase in volume when a liquid freezes to its solid state. The percentage decrease when solid melts to liquid again, is?

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Solution

To solve this problem, we first need to understand that the volume of the solid is 116% of the original liquid volume due to the 16% increase.

Step 1: Let's assume the volume of the liquid is 100 units.

Step 2: When it freezes and becomes solid, the volume increases by 16%. So, the volume of the solid becomes 116 units.

Step 3: Now, when the solid melts back to liquid, the volume decreases from 116 units to 100 units.

Step 4: To find the percentage decrease, we use the formula:

Percentage Decrease = [(Initial Volume - Final Volume) / Initial Volume] * 100%

Step 5: Substituting the values into the formula, we get:

Percentage Decrease = [(116 - 100) / 116] * 100% = 13.79%

So, the percentage decrease when the solid melts back to the liquid is approximately 13.79%.

This problem has been solved

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