How many dips per day should be done to increase muscles of my chest and arms up to which duration?
Depends on your weight, body type, metabolism rate, current musculature, your target muscle definition and target weight.
For example, if you are 5′10, mesomorph and weigh 70 kgs, then you should easily do 50–70 pushups, anything less will not get you around 12% body fat.
If you are an ectomorph with similar height and weight, you should be able to do 30–40, since your arms will be longer it will be a little longer, an Endomorph will do similar numbers since he will have shorter arms.
If your body weight increases your numbers decrease.