What will be the new concentration of phosphoric acid, when 20~cm^{3} of 12M phosphoric acid is diluted to 0.5 L

To find the new concentration of phosphoric acid, we can use the formula for dilution:

C1V1 = C2V2

where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

Given:
C1 = 12M
V1 = 20 cm^3 = 20/1000 L = 0.02 L
V2 = 0.5 L
C2 = ?

Using the formula, we can solve for C2:

C1V1 = C2V2
12M * 0.02 L = C2 * 0.5 L

0.24 M = C2 * 0.5 L

C2 = 0.24 M / 0.5 L
C2 = 0.48 M

Therefore, the new concentration of phosphoric acid is 0.48 M.