To calculate the equivalents per liter of a sodium carbonate solution with a molarity of 0.0100 M, we need to consider the ionization of sodium carbonate in water.

Sodium carbonate dissociates into two sodium ions (Na+) and one carbonate ion (CO32-). So, for every mole of sodium carbonate that dissolves, two moles of sodium ions and one mole of carbonate ions are produced.

Therefore, the number of equivalents per liter can be calculated as follows:

Equivalents per liter = (Molarity of Na2CO3) × (Number of ions produced per mole of Na2CO3)

Equivalents per liter = (0.0100 M) × (3 ions/mole of Na2CO3)

Equivalents per liter = 0.0300 eq/L

So, the sodium carbonate solution with a molarity of 0.0100 M contains 0.0300 equivalents of ions per liter.