Rpm up and down with vibartion in the cabin

Why does my car rpm go up and down when I turn my steering wheel? Also I feel a kind of vibration when turning the steering wheel left or right.
Same things happen when the car is in idle and my a/c is on. Everytime the a/c will cut of and start again I feel the vibration.
recently I serviced the power steering pump and changed the belt and the belt tensioner.A month back I changed the engine mounting as well.
Please help me with this strange issue as its really annoying me when my car is in idle mode.
Same vibration when the a/c is off and I turn my steering wheel.
Its a Honda CRV 2007 model

It is compensating for the energy needed to run the Power Steering Pump.

The idle is to low. There are a few reasons for that. One is that the MAF sensor needs to be cleaned or there's a vacuum leak somewhere.

Power steering requires a pump that runs off the engine. When turning, the pump is engaged drawing power from the engine. Make sure the power steering fluid is at the level it should be. If it is low it will cause more engine strain. Same principle with the a/c.

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