The temperature range of a transmitter is 100-200°F. What is the expected output signal for an input temperature of 150°F if the output signal range is 3-15 psig?

To determine the expected output signal for an input temperature of 150°F with an output range of 3-15 psig, we can use the concept of linear interpolation between the minimum and maximum values of both the temperature and pressure ranges.

First, identify the ranges:

• Input temperature range: 100°F to 200°F

• Output signal range: 3 psig to 15 psig

The total span of the input temperature range is:

200°F - 100°F = 100°F

The position of 150°F within this range is:

150°F - 100°F = 50°F

Next, we calculate the proportion of this position within the total range. Since 150°F is halfway between 100°F and 200°F, it represents 50°F out of the 100°F range. This can be calculated as:

Position ratio = (150°F - 100°F) / (200°F - 100°F) = 50°F / 100°F = 0.5

Now apply this ratio to the output signal range:

Total span of the output signal range:

15 psig - 3 psig = 12 psig

To find the output corresponding to the input of