Question #58852

discribe the preparation of 900ml of 3M hno3- from a commercial reagent that is 69% hno3- and has a specefic gravity 1.42 solution

Expert's answer

Question #58852, Chemistry, Other

Describe the preparation of 900 ml of 3 M HNO₃ from a commercial reagent that is 69% HNO₃ and has a specific gravity 1.42 solution.

Answer:


CM=vVC_M = \frac{v}{V}v=mMv = \frac{m}{M}


M (HNO₃) = 63 g/mol

The amount of HNO₃ contained in 900 ml of 3 M HNO₃ solution is:


v=CMVv = C_M \cdot Vv(HNO3)=30.9=2.7 molv(HNO_3) = 3 \cdot 0.9 = 2.7 \text{ mol}


This amount of matter corresponds to the mass of 69% HNO₃ solution:


m = \frac{vM}{\%m(HNO3)69%=2.7630.69=246.5 gm(HNO_3)_{69\%} = \frac{2.7 \cdot 63}{0.69} = 246.5 \text{ g}


Taking into account the specific gravity of this solution, its volume is:


ρ=mV\rho = \frac{m}{V}V=mρV = \frac{m}{\rho}V(HNO3)69%=246.51.42=173.61 mlV(HNO_3)_{69\%} = \frac{246.5}{1.42} = 173.61 \text{ ml}


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