which expresses the whole mechanical effect per minute in pounds raised one foot.

If the steam be worked expansively, let it be cut off after the piston has moved through a part of the stroke expressed by e.

The volume of steam of the undiminished pressure P′ admitted per minute through the valve would then be

VA (e + c);

and the ratio of this volume to that of the water producing it being expressed by S′, we should have

S′ = VA(e + c).
W

The final volume into which this steam is subsequently expanded being VA(1 + c), its ratio to that of the water will be

S = VA (1 + c).
W

The pressure P′, till the steam is cut off, will be

P′ = Wab.(18.)
VA(e + c)