Find the corresponding uncertainty associated with density


Suppose we want to measure the density of a sample of Argon. We can't measure it directly but we can measure pressure (P) and temperature (T).

Recall that, Pv=RT (ideal gas equation of state, where v is specific volume). Assume that all measurementsare are at the 95% level of confidence.

P= 100 +/- 0.5% kPa

T= 20 +/- 0.5 degrees C (Note that when you convert to K a delta 1 of K = a delta 1 of C)

R is a constant and equal to 0.2081 kJ/(kg*K)

a) What is the nominal value for density? Show the equation and show all of your units.

b) What is the corresponding uncertainty associated with density? There will be no uncertainty component for R.

 

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Mechanical Engineering: Find the corresponding uncertainty associated with density
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