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The temperature range of a transmitter is 0-200°F, and the output signal range is 3-15 psig. What would be the expected output signal for an input temperature of 150°F?

A. 6 psig
B. 9 psig
C. 11.25 psig
D. 12 psig

Answer :

Final answer:

The expected output signal for an input temperature of 150°F would be closest to 6 psig when applied to the linear relationship equation used to convert temperature input to output signal for the transmitter.

Explanation:

To determine the expected output signal for an input temperature of 150°F for a transmitter with a temperature range of 0-200°F and an output signal range of 3-15 psig, first, we should understand the relationship between the input temperature and the output signal. This is a linear relationship, which can be represented by the equation:

Output Signal = (Output Signal Range) / (Temperature Range) × (Temperature - Minimum Temperature) + Minimum Output Signal

Applying the given values, we get:

Output Signal = (15 psig - 3 psig) / (200°F - 0°F) × (150°F - 0°F) + 3 psig

Output Signal = 12/200 × 150 + 3

Output Signal = 0.6 × 150 + 3

Output Signal = 90 + 3

Output Signal = 93 / 15

Output Signal = 6.2 psig

Thus, the closest answer to the calculated output signal of 6.2 psig is 6 psig (Option A).

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