Calculate the density of 150g of a 25% by wieght solution of sodium chloride dissolved in water and the volume of solution is 145ml.
25% means 25 g NaCl/100 g soln so if we have 150 g of the soln we have
25g NaCl x (150/100) = 37.5 g NaCl in 150 g soln. Since the volume is 145, then d = m/v = 37.5/145 mL = ? g/mL.
To calculate the density of the solution, we need to know the mass of the solution and its volume.
The given mass of the solution is 150g, and the volume of the solution is 145ml.
Density is defined as mass divided by volume. Therefore, we can use the formula:
Density = mass/volume
First, we need to calculate the mass of the sodium chloride in the solution.
Since the solution is 25% by weight sodium chloride, we can calculate the mass of sodium chloride by multiplying the total mass of the solution (150g) by the weight percentage of sodium chloride (25%).
Mass of sodium chloride = 150g * (25/100) = 37.5g
Now, we can calculate the density using the formula:
Density = mass/volume
Density = 37.5g / 145ml
However, since the volume is in milliliters (ml) and density is usually expressed in grams per milliliter (g/ml), we need to convert ml to g.
To convert ml to g, we need to know the density of water. The density of water is approximately 1g/ml.
So, we can convert the volume in ml to grams by multiplying it by the density of water:
Density = 37.5g / (145ml * 1g/ml)
Density = 37.5g / 145g
Density ≈ 0.2586 g/ml
Therefore, the density of the 25% sodium chloride solution is approximately 0.2586 g/ml.