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Multiple Choice
How many mL of a 2.50 M K2SO4 solution are required to obtain 1.20 moles of K2SO4?
A
480 mL
B
600 mL
C
240 mL
D
300 mL
Verified step by step guidance
1
Start by understanding the relationship between molarity, moles, and volume. Molarity (M) is defined as moles of solute per liter of solution. The formula to use here is: \( M = \frac{n}{V} \), where \( M \) is molarity, \( n \) is the number of moles, and \( V \) is the volume in liters.
Rearrange the formula to solve for volume: \( V = \frac{n}{M} \). This will allow you to find the volume of the solution needed to obtain the desired number of moles.
Substitute the given values into the rearranged formula. You have \( n = 1.20 \) moles and \( M = 2.50 \) M. So, \( V = \frac{1.20}{2.50} \).
Calculate the volume in liters using the formula. This will give you the volume in liters required to obtain 1.20 moles of \( K_2SO_4 \).
Convert the volume from liters to milliliters. Since 1 liter is equal to 1000 milliliters, multiply the volume in liters by 1000 to get the volume in milliliters.