Problem 2 a) Atemperature measurement is made using a temperature probe with the

Question

Problem 2 a) Atemperature measurement is made using a temperature probe with the specifications (found below). If you measure a single temperature of 41.3 degrees, what is the uncertainty in the value? b) What is the uncertainty in the computed value g for the reading ofT 41.3 degrees, if g is defined as Specifications: Temperature range: -40 to 135 C (-40 to 275 F) Maximum temperature that the sensor can tolerate without damage: 150°C Typical Resolution: 0.17 C (-40 to 0 C) 0.03 C (0 to 40 C) 0.1 C (40 to 100 C) 0.25 C (100 to 135 C) Temperature sensor: 20 NTC Thermistor Accuracy: 10.2 C at 0 C, 10.5 C at 100 C Response time (time for 90% change in reading): 10 seconds (in water, with stirring) 400 seconds (in still air) 90 seconds (in moving air) Probe dimensions Probe length (handle plus body): 15.5 cm Stainless steel body: length 10.5 cm, diameter 4.0 mm Probe handle: length 5.0 cm, diameter 1.25 cm

Explanation / Answer

Error in temperature can be taken to be the resolution 0.1 degree C at 41.3 degree C or the accuracy at the same temperature. But the accuracy is not given at 41.3 C, so resolution can be used as the error because at that range we will be reading the temperature value like, 41.1, 41.2, 41.3 ,41.4 like that. So 0.1C is the uncertainty in reading.

g= 1/T

so, log(g)= log(1)-log(T), as we are finding out error, so the negative sign should be positive( all errors are added)

So, log(g)= log(T)

Thus, dg/g = dT/T where dg and dT are the errors in g, and T

Now, dg= g * dT/T = 1/T *(dT/T) = 0.1/ (41.3*41.3) = 5.863* e-4

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.