Question #103351

You want to prepare 50cm³ of 0.1m NaOH from exactly 50%(wt/wt) NaOH solutions.

What volume of the 50% solution is required?

What volume of the 50% solution is required?

Expert's answer

It is given that 50 % (wt/wt) of NaOH solution its means that 50 g of NaOH is present in 100 g of solution, 1cm^{3}

here it is given that volume of solution = 50 cm^{3}

molarity of solution = .1 M

we know that

Molarity ="\\frac{ moles of solute }{volume of solution in (mL)}" "\\times" 1000

Molar mass of NaOH = 40 g/mole

here from above information i.e. 50 % wt/wt so we have to convert it into w/v

as mass of water present = 50 g and volume of water = mass/density and we know that

density of water = 1g/cm^{3}

volume of water = 50 ml

as we have to prepare the above molarity solution i.e 50ml

so , concentration in terms of w/v for NaOH = "\\frac{50 g of NaOH}{50 cm^3 of solution for dilution} \\times 100"

so concetration in terms of w/v is 1 g per 100 ml of solution

so for 1000cm^{3} of solution we will have 10 g of NaOH

so moles of NaOH will be = "\\frac{10}{40} = .25" mole

now use concept

M_{1}V_{1} =M_{2} V_{2}

"0.1\\times50= V_2\\times 0.25"

V_{2}= 20 ml

so, volume of 50 % solution required will be 20 ml

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