Question

Among the given solutions of potassium permanganate (KMnO4), which one has the highest concentration of water in it?

Answer 1

Answer: Solution D has the highest concentration of all.

Step-by-step explanation:

The formula used to calculate molarity:

`\text{Molarity of solution}=\frac{\text{Moles of solute}* 1000}{\text{Volume of solution (mL)}}` .....(1)

• For A:

Molarity of permanganate solution = 0.1 M

Volume of solution =
`100 cm^3=100mL` (Conversion factor:
`1mL=1cm^3`)

Putting values in equation 1, we get:

`0.1=\frac{\text{Moles of permanganate solution}* 1000}{100}\\\\\text{Moles of permanganate solution}=(100* 0.1)/(1000)=0.01mol`

• For B:

Molarity of permanganate solution = 0.01 M

Volume of solution =
`100 cm^3=100mL`

Putting values in equation 1, we get:

`0.01=\frac{\text{Moles of permanganate solution}* 1000}{100}\\\\\text{Moles of permanganate solution}=(100* 0.01)/(1000)=0.001mol`

• For C:

Molarity of permanganate solution = 2 M

Volume of solution =
`100 cm^3=100mL`

Putting values in equation 1, we get:

`2=\frac{\text{Moles of permanganate solution}* 1000}{100}\\\\\text{Moles of permanganate solution}=(100* 2)/(1000)=0.2mol`

• For D:

Molarity of permanganate solution = 2.5 M

Volume of solution =
`100 cm^3=100mL`

Putting values in equation 1, we get:

`2.5=\frac{\text{Moles of permanganate solution}* 1000}{100}\\\\\text{Moles of permanganate solution}=(100* 2.5)/(1000)=0.25mol`

The solution having the highest number of moles will have the highest concentration for the same volume.

Thus, solution D has the highest concentration of all.