Marble is almost pure CaCO3. Acid rain has a devastating effect on marble statuary left outdoors. Assume that the reaction which occurs as:

CaCO3(s)+ H+(aq)->Ca2+(aq) + HCO3(aq)
Neglecting all other competing, equilibria, Calculate:
1. K for the reaction
2. molar solubility of CaCO3 in pure water
3. Molar solubility of CaCO3 in acid rain water with pH of 4.00