If 1 L of liquid contains 10 grams of solute, what is the concentration in % w/v?

To determine the concentration of the solution in % weight/volume (% w/v), the formula used is:

[

\text{% w/v} = \left(\frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}}\right) \times 100

]

In this scenario, you have 10 grams of solute dissolved in 1 liter of solution. First, we need to convert the volume from liters to milliliters since the formula requires volume in mL. There are 1000 mL in 1 L, so the volume of the solution is 1000 mL.

Now plug the values into the formula:

[

\text{% w/v} = \left(\frac{10 \text{ g}}{1000 \text{ mL}}\right) \times 100

]

[

= \left(0.01\right) \times 100 = 1%

]

Therefore, the concentration of the solution is 1% w/v. This confirms that the correct answer should reflect the computed concentration accurately, establishing option B as the correct answer for this question.