Why does powdered calcium carbonate react faster with hydrochloric acid than calcium carbonate chips?

Exposed surface area

Explanation:

The powdered calcium carbonate will react faster with hydrochloric acid than calcium carbonate chips due to the exposed surface area.

Powdered calcium carbonate has a larger surface area compared to the chips. And, the larger the surface area exposed on a body, the faster the reaction it will undergo.

For the same masses of a solid substance, the smaller the particle size of each form, the larger the surface area exposed to reaction.

The surface area exposed proportionally affects the rate of reaction.

answer : (a) volume of the gas = 8.67 ×   l

                (b) second virial coefficient b = -1.21226 l/mole

solution :   given,     t = 300k

                                p = 20atm

                                z = 0.86

                                n = 8.2 mmoles = 8.2 × moles

                                r =   0.082 l atm/k/mol

        find,     (a) volume of gas   and (b) second virial coefficient b at 300k.

formula used :            

                          and            

(a)            

                    = \times 0.082\times 300}{20}[/tex]

                    = 8.67 ×   l

(b)      

                    = (0.00867-1) × 8.659

                    = - 8.5839 l/mole