What are the examples of chemical and mechanical weathering?

Examples of chemical weathering: 

• Minerals like calcium carbonate and calcium magnesium bicarbonate present in limestones are soluble in water containing carbonic acid (formed with the addition of carbon dioxide in water) and are carried away in the water as a solution.
• Calcium carbonates and magnesium carbonates are dissolved in carbonic acid and are removed in a solution without leaving any residue resulting in cave formation.
• Calcium sulphate takes in water and turns to gypsum, which is more unstable than calcium sulphate. This process is reversible and long, continued repetition of this process causes fatigue in the rocks and may lead to their disintegration.

Examples of mechanical weathering:

• Rapid freezing of water causes its sudden expansion and high pressure. The resulting expansion affects joints, cracks and small intergranular fractures to become wider and wider till the rock breaks apart
• Due to differential heating and resulting expansion and contraction of surface layers and their subsequent exfoliation from the surface results in smooth rounded surfaces in rocks. In rocks like granites, smooth surfaced and rounded small to big boulders called tors form due to such exfoliation.

Further Reading:

• Chemical Weathering 
• Weathering