A chemist prepares a mixture of cyclohexane and ethanol at a temperature of 24.0 °C. He measures out 89.8 mL of cyclohexane and mixes it with 0.45 L of ethanol. He measures the volume of the solution after it is well mixed and finds that it is 0.556 L. The density of cyclohexane is 0.78 /gmL and the density of ethanol is 0.79 /gmL.Calculate the volume percent of cyclohexane in this solution.Be sure your answer has the right number of significant digits.
Question
A chemist prepares a mixture of cyclohexane and ethanol at a temperature of 24.0 °C. He measures out 89.8 mL of cyclohexane and mixes it with 0.45 L of ethanol. He measures the volume of the solution after it is well mixed and finds that it is 0.556 L. The density of cyclohexane is 0.78 /gmL and the density of ethanol is 0.79 /gmL.Calculate the volume percent of cyclohexane in this solution.Be sure your answer has the right number of significant digits.
Solution
To calculate the volume percent of cyclohexane in the solution, we first need to convert all volumes to the same unit. In this case, we'll use liters (L).
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Convert the volume of cyclohexane from mL to L: 89.8 mL = 0.0898 L
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The total volume of the solution is given as 0.556 L.
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Calculate the volume percent of cyclohexane using the formula: (Volume of cyclohexane / Total volume of solution) * 100
So, (0.0898 L / 0.556 L) * 100 = 16.15 %
Therefore, the volume percent of cyclohexane in the solution is 16.15 %. Since the given data has three significant digits, we should also report our answer with three significant digits. So, the final answer is 16.2 %.
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