02 Sensors Problem Set

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SENSORS | PRACTICE PROBLEMS

Complete the following to reinforce your understanding of the concept covered in this module.

PROBLEM 1: The platinum resistance thermometer is used to measure the temperature an environment of an undefined period of time. Given the resistance values below, the sensitivity of the platinum resistance thermometer is closest too: ๐ผ๐‘›๐‘๐‘ข๐‘ก: ๐‘‡๐‘’๐‘š๐‘๐‘’๐‘Ÿ๐‘Ž๐‘ก๐‘ข๐‘Ÿ๐‘’ (ยฐ๐ถ)

๐‘‚๐‘ข๐‘ก๐‘๐‘ข๐‘ก: ๐‘…๐‘’๐‘ ๐‘–๐‘ก๐‘–๐‘ฃ๐‘–๐‘ก๐‘ฆ (๐›บ)

307

200

314

230

321

260

328

290

A. 0.138 B. 0.233 C. 0.488 D. 0.721



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SOLUTION 1:

The formula for SENSITIVITY is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. The SENSITIVITY is defined as the ratio of the change in output to the corresponding change in input under static or steady state conditions

๐‘†๐‘’๐‘›๐‘ ๐‘–๐‘ก๐‘–๐‘ฃ๐‘–๐‘ก๐‘ฆ =

๐ถโ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘–๐‘› ๐ผ๐‘›๐‘๐‘ข๐‘ก ๐ถโ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘–๐‘› ๐‘‚๐‘ข๐‘ก๐‘๐‘ข๐‘ก

Looking at the values provide for the inputs, which is temperature in units 0f ยฐ๐ถ, we see there is a common difference of 30ยฐ๐ถ for each interval. Switching over the outputs, which is resistance in units of ๐›บ, we see there is a common difference of 7 ๐›บ per interval. Plugging these values into the formula for sensitivity, we find:

๐‘†๐‘’๐‘›๐‘ ๐‘–๐‘ก๐‘–๐‘ฃ๐‘–๐‘ก๐‘ฆ =

7 ๐›บ = 0.233 30 ยฐ๐ถ

Therefore, the correct answer choice is B. ๐ŸŽ. ๐Ÿ๐Ÿ‘๐Ÿ‘



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PROBLEM 2: An operator at a power plant used a pH sensor to measure the pH of a solution near the steam drum of the facility. If the sensor gives a negative output, which of the following statements is true? A. ๐‘‡โ„Ž๐‘’ ๐‘ ๐‘œ๐‘™๐‘ข๐‘ก๐‘–๐‘œ๐‘› ๐‘–๐‘  ๐‘Ž๐‘๐‘–๐‘‘๐‘–๐‘ B. ๐‘‡โ„Ž๐‘’ ๐‘ ๐‘œ๐‘™๐‘ข๐‘ก๐‘–๐‘œ๐‘› ๐‘–๐‘  ๐‘๐‘Ž๐‘ ๐‘–๐‘ C. ๐‘‡โ„Ž๐‘’ ๐‘ ๐‘œ๐‘™๐‘ข๐‘ก๐‘–๐‘œ๐‘› ๐‘–๐‘  ๐‘›๐‘’๐‘ข๐‘ก๐‘Ÿ๐‘Ž๐‘™ D. ๐‘๐‘œ๐‘›๐‘’ ๐‘œ๐‘“ ๐‘กโ„Ž๐‘’ ๐‘Ž๐‘๐‘œ๐‘ฃ๐‘’



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SOLUTION 2:

The formula for the RELATIONSHIP GOVERNING A PH SENSOR can be referenced under the topic of INSTRUMENTATION, MEASUREMENT, AND CONTROLS on page 126 of the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. The voltage output reading for a pH sensor is directly proportional to the pH of the solution. Therefore, at a pH of 7 (neutral) the output would be 0, and then produce a negative reading for an acidic reading (pH < 7) and a positive reading for a basic reading (pH > 7).

Therefore, the correct answer choice is A. ๐“๐ก๐ž ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐ข๐ฌ ๐š๐œ๐ข๐๐ข๐œ



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PROBLEM 3:

Which of the following sensor types is NOT suitable for a combustible hydrocarbon analyte? A. ๐‘†๐‘’๐‘š๐‘–๐‘๐‘œ๐‘›๐‘‘๐‘ข๐‘๐‘ก๐‘–๐‘›๐‘” ๐‘œ๐‘ฅ๐‘–๐‘‘๐‘’ ๐‘ ๐‘’๐‘›๐‘ ๐‘œ๐‘Ÿ B. ๐‘†๐‘œ๐‘™๐‘–๐‘‘ ๐‘’๐‘™๐‘’๐‘๐‘ก๐‘Ÿ๐‘œ๐‘‘๐‘’ ๐‘ ๐‘’๐‘›๐‘ ๐‘œ๐‘Ÿ C. ๐‘ƒ๐‘–๐‘’๐‘ง๐‘œ๐‘’๐‘™๐‘’๐‘๐‘ก๐‘Ÿ๐‘–๐‘ ๐‘ ๐‘’๐‘›๐‘ ๐‘œ๐‘Ÿ D. ๐‘ƒ๐‘ฆ๐‘Ÿ๐‘œ๐‘’๐‘™๐‘’๐‘๐‘ก๐‘Ÿ๐‘–๐‘ ๐‘ ๐‘’๐‘›๐‘ ๐‘œ๐‘Ÿ



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SOLUTION 3: The table for EXAMPLES OF COMMON CHEMICAL SENSORS can be referenced under the topic of INSTRUMENTATION, MEASUREMENT, AND CONTROLS on page 126 of the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing.

Looking at the table for examples of common chemical sensor, we notice that all of the listed sensor types are listed accepted for a combustible hydrocarbon except a pyroelectric sensor.

Therefore, the correct answer choice is D. ๐‘ท๐’š๐’“๐’๐’†๐’๐’†๐’„๐’•๐’“๐’Š๐’„ ๐’”๐’†๐’๐’”๐’๐’“



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PROBLEM 4: An engineer at a local industrial facility is looking to measure the pressure inside a pressurized gas duct relative to another pressurized gas duct nearby. What type of pressure measurement type should be used? A. ๐ด๐‘๐‘ ๐‘œ๐‘™๐‘ข๐‘ก๐‘’ B. ๐บ๐‘Ž๐‘”๐‘’ C. ๐ท๐‘–๐‘“๐‘“๐‘’๐‘Ÿ๐‘’๐‘›๐‘ก๐‘–๐‘Ž๐‘™ D. ๐‘†๐‘’๐‘Ž๐‘™๐‘’๐‘‘



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SOLUTION 4:

The table for PRESSURE RELATIVE MEASUREMENT TYPES can be referenced under the topic of INSTRUMENTATION, MEASUREMENT, AND CONTROLS on page 126 of the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. Pressure Relative Measurement Types

Comparison

Absolute

Relative to 0 Pa, the pressure in a vacuum

Gage

Relative to local atmospheric pressure Relative to either absolute vacuum (0 Pa) or local

Vacuum

atmospheric pressure

Differential

Relative to another pressurized container

Sealed

Relative to sea level pressure

As the engineering is look to measure the pressure inside a pressurized container relative to another pressurized container, the measurement would be considered DIFFERENTIAL.

Therefore, the correct answer choice is C. ๐‘ซ๐’Š๐’‡๐’‡๐’†๐’“๐’†๐’๐’•๐’Š๐’‚๐’



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