What would be the approximate volume of refrigerant in a reciprocating refrigeration compressor with a 12-inch bore and 16-inch stroke?

To calculate the approximate volume of refrigerant in a reciprocating refrigeration compressor, you can use the formula for the volume of a cylinder, since the compressor is effectively cylindrical in shape. The formula for the volume of a cylinder is:

[ V = \pi \cdot r^2 \cdot h ]

Where ( r ) is the radius of the cylinder and ( h ) is the height (or stroke) of the cylinder.

Given a bore (diameter) of 12 inches, the radius ( r ) would be half of that:

[ r = \frac{12 , \text{inches}}{2} = 6 , \text{inches} ]

The stroke is 16 inches, which represents the height of the cylinder.

Now, you can plug the values into the volume formula:

1. Calculate the area of the base:

[ A = \pi \cdot (6^2) = \pi \cdot 36 ]

[ A \approx 113.097 , \text{square inches} ]

2. Now, substitute into the volume formula:

[ V = 113.097 , \text