1.

82. 100 mL of H2SO4 solution having molarity 1 M and density 1.5 g/mL is mixed with 400 mL ofwater. Calculate final molarity of H2SO4 solution, if final density is 1.25 g/mL:(a) 4.4 M(b) 0.145 M(c) 0.52 M(d) 0.227 M​

Answer»

We know that volumes of various solutions are not additive in nature.

Therefore, we can infer that 100 ml of Hydrogen Sulphate and 400 ml of water do not actually make 500 ml of the RESULTING SOLUTION but instead create a solution which has a lesser amount than that.

Yet, we have 150 G of acid 1M + 400g of water, which is equivalent to 550 g of material as well as a final DENSITY of 1.25 g/ml . Then;

V = \frac{M}{d} = \frac{550g}{1.25g/ml} = 440 ml

Initially, we had;

n = \frac{V}{M} = \frac{0.1 l}{1 mol/l} = 0.1 mol

The amount derived is that of H_2SO_4.

Therefore;

M = (\frac{mol}{V}) = \frac{0.1 mol}{0.44l} = 0.227 mol/l = 0.227 M

Ans) (d) 0.227 M



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