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Both can be referred to as a kind of grinding process. In both cases, an abrasive material is used for better surface finish.
Lapping is process in which two surfaces are rubbed together with or without an abrasive material between them. The unevenness (protrusions) of the two cross-sections being rubbed with one another abrade each other, resulting in two almost similar surfaces.
Whereas, honing is controlled grinding. To give a better surface finish to a slot, honing is used. For example, the slot for the entry of key between the gudgeon pin and piston is honed to get a better accuracy and surface finish. Abrasive material is always used in honing.

Kindly correct me if i'm wrong.

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I think it's about their main geometry, Shivank. I mean lapping is plane, honing is cylindrical. But these are old memories (about 1997-98). :D 

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"Lapping" is a process through which surface roughness is reduced. "Honing" is a process through which the surface roughness and geometry is controlled. CIDesigner, gears were also frequently lapped together to ensure smooth operation and increased fatigue resistance, so lapping is not only planar.

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Lapping is process in which two surfaces are rubbed together for achieving superior quality surface finish the process is used where the sealing surfaces subject to extreme pressure are assembled without the gasket material(pure metal to metal contact). The process is done with abrasive material between the lapping surfaces. The abrasive material could be carborundum/diamond paste or it could be in the form of oil or liquid polish. Example: the assembly of a nozzle in a fuel injector of an IC engine. 

Honing Is done for making smooth surface slight rough so that the lubricating oil is adher to the sliding surface and thus by provide a lubrication film to prevent boundary lubrication between sliding surface. The process is carried out with honning tool and with a controlled rpm and the linear motion of the tool. Example:cylinder liners are honed internally.

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when two objects are comes in contact, and required contact surface area about to 100%, lapping is required, eg. any valve valve seat and sealing device, if the contact area is not about 100% chances of leaking is thre if not properly lapped. in that way lapping is done when sealing is required.

where as honing is require when fitments is the case. where sealing is not governing, but relative motion is the case for friction free movements.

correct me if any mistakes.

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