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?
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%.
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