f 5.0 cm\(^-3\) of 0.200 mol dm(^-3\) Na\(_2\)CO\(_3\) was diluted to 250cm(^-3\) solution, what would be the concentration of the resulting solution?

Answer Details

To find the concentration of the resulting solution after dilution, we need to calculate the amount of solute (Na_2CO_3) in the new solution. The concentration of a solution is given by the amount of solute per unit volume of the solution. The dilution formula is: C1 * V1 = C2 * V2 Where C1 is the initial concentration (0.200 mol dm^-3), V1 is the initial volume (5.0 cm^-3), C2 is the final concentration (what we are trying to find), and V2 is the final volume (250 cm^-3). Plugging in the values: 0.200 * 5.0 = C2 * 250 0.200 * 5.0 / 250 = C2 C2 = 0.004 mol dm^-3 So, the concentration of the resulting solution is 0.004 mol dm^-3.