Question

How many moles are contained in 2.3 liters of a 1.2M solution?

Answer 1

`\boxed {\boxed {\sf 2.76 \ mol}}`

Step-by-step explanation:

Molarity is found by dividing the moles of solute by liters of solution.

`molarity = \frac {moles}{liters}`

We know the molarity is 1.2 M (mol\liter) and there are 2.3 liters of solution. Substitute the known values into the formula.

`1.2 \ mol/liter= \frac {x}{2.3 \ liters}`

Since we are solving for x, we must isolate the variable. It is being divided by 2.3 and the inverse of division is multiplication. Multiply both sides by 2.3 liters.

`2.3 \ liters *1.2 \ mol/liter= \frac {x}{2.3 \ liters}* 2.3 \ liters\\2.3 *1.2 \ mol= x\\2.76 \ mol =x`

In a solution with a molarity of 1.2 and 2.3 liters of solution, there are 2.76 moles.