Suppose there are two air forces acting on the air at a given location. Suppose that the pressure gradient causes a force That is directed northwest toward a low
The pressure gradient force is the force that is operating in the atmosphere and that accelerated the air particle away from the region of a high pressure that is directly across the isobars to a region of the low air pressure in responses to the air pressure gradient.
The concept pf the pressure gradient is a local characteristic of the air and is defined by the spatial source at which the pressure is defined. And can be expressed as units of pascal per meters
As this force is directed from higher to the lower pressure this is known as a hydrostatic balance ad is done in order to balance the effects of the Coriolis force.