% m/v = grams solute/100 mL solvent
75 g K2SO4 x (100/1500) = 5 g/100 mL = 5% m/v
75 g K2SO4 x (100/1500) = 5 g/100 mL = 5% m/v
To calculate the concentration in % (m/v), we'll use the formula:
Concentration = (mass of solute / volume of solvent) x 100
So, plugging in the numbers, we get:
Concentration = (75 g / 1500 mL) x 100
Now, let me grab my calculator (beep boop beep)... Ah yes! The concentration is... drumroll, please... 5% (m/v)!
So, you've got yourself a 5% (m/v) potassium sulfate solution. Just be careful not to accidentally turn into a salty pretzel!
Given:
Mass of solute (K2SO4) = 75 g
Volume of solvent = 1500 mL
Step 1: Convert the volume from mL to liters:
Since 1 L = 1000 mL, divide the volume by 1000.
1500 mL ÷ 1000 mL/L = 1.5 L
Step 2: Calculate the concentration:
(m/v)% = (mass of solute / volume of solution) x 100
(m/v)% = (75 g / 1.5 L) x 100
(m/v)% = 50 g/L
Therefore, the concentration of the solution is 50% (m/v).
In this case, you have 75 g of K2SO4 as the solute and 1500 mL of solvent. However, the % (m/v) concentration is typically expressed in terms of volume/volume (v/v) instead of mass/volume (m/v). So, you will need to convert the volume of the solvent from milliliters (mL) to liters (L).
To convert milliliters to liters, you divide the volume by 1000 since there are 1000 milliliters in one liter.
Let's calculate the concentration % (m/v) step by step:
1. Convert the volume of the solvent from mL to L:
1500 mL ÷ 1000 = 1.5 L
2. Calculate the concentration % (m/v):
Concentration % (m/v) = (mass of solute / volume of solution) × 100
Concentration % (m/v) = (75 g / 1.5 L) × 100
Concentration % (m/v) = 50% (m/v)
Therefore, the concentration of the solution is 50% (m/v) of K2SO4.