What volume of 0.200 m ethanol solution contains each of the following amounts?
a. 0.45 mol ethanol
b. 1.22 mol ethanol
c. 1.2 x 10-2 mol ethanol

A. 2.3 L

B. 6.10 L

C. 0.060 L

Explanation:

The question asks the volume of a 0.200 M solution of ethanol that contains certain number of moles of ethanol.

The M in the 0.200 M stands for Molarity. This is a unit of concentration that can be expressed as:

Molarity = moles of solute / Liters of solution

In this case:

0.200 M = moles of ethanol / Liters of solution

So from the formula we can get that we can calculate the volume of the solution, as Liters of solution, given the moles in each case as:

Liters of solution = moles of ethanol / 0.200 moles/L

A. 0.45 mol ethanol

Liters of solution = 0.45 moles / 0.200 moles/L = 2.25 L = 2.3 L

B. 1.22 mol ethanol

Liters of solution = 1.22 moles / 0.200 moles/L = 6.10 L

C. 1.2 x 10⁻² mol ethanol

Liters of solution = 1.2 x 10⁻² moles / 0.200 moles/L = 0.060 L

Note: Each answer is given with the correct number of significant figures which results from the least number of significant figures in the given used values in each calculation.