If you have 62 PSI at 35 degrees Fahrenheit and 70 PSI at 45 degrees Fahrenheit, what would be the pressure at 38 degrees Fahrenheit?

To determine the pressure at 38 degrees Fahrenheit using the given pressures at 35 and 45 degrees Fahrenheit, we can utilize a linear interpolation method. This method is appropriate because we can assume that pressure changes linearly with temperature within this limited range.

First, we have two known points:

• At 35°F, the pressure is 62 PSI.

• At 45°F, the pressure is 70 PSI.

Next, we need to find the pressure at 38°F, which lies between these two known points. The change in pressure between 35°F and 45°F is:

70 PSI - 62 PSI = 8 PSI over a temperature change of:

45°F - 35°F = 10°F.

Now, we calculate the rate of change of pressure with respect to temperature:

8 PSI / 10°F = 0.8 PSI per degree Fahrenheit.

To find the change in pressure from 35°F to 38°F, we look at the temperature difference:

38°F - 35°F = 3°F.

Now, we calculate the pressure increase over this temperature change:

3°F * 0.8 PSI/F = 2.4 PSI.

Now we add this increase to the initial pressure at