Calculate the mass of a 5% sodium carbonate solution and the mass of crystalline soda

Calculate the mass of a 5% sodium carbonate solution and the mass of crystalline soda, which are required to obtain 200 g of a 10% sodium carbonate solution.

Let x mol – the amount of extracted crystalline soda Na2CO3 * 10H2O. Then y is the mass of a 5% sodium carbonate solution Na2CO3.

Hence the system of equations:

106 * x + 0.05 * y = 200 * 0.1

286 * x + y = 200;

x = 0.109 (mol);

y = 168.81 (gram);

0.109 * 286 = 31.174 (a gram is needed to obtain 200 g of a 10% sodium carbonate solution).

Answer: 31.174 and 168.81.