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Temperature of SO2 at 5 Pa is 395 K and at 10 Pa temperature is 420 K, what is the temperature at 6 Pa?

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Temperature of SO2 at 5 Pa is 395 K and at 10 Pa temperature is 420 K, what is the temperature at 6 Pa?

(a) 400 K

(b) 405 K

(c) 410 K

(d) 415 K

This question was posed to me in an interview for internship.

This question is from Modeling and Predicting Vapor Pressure in portion Real Gases: Equations of State, Single Component Two Phase Systems, Saturation & Condensation of Basic Chemical Engineering

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Right answer is (a) 400 K

Explanation: Using linear interpolation, T6Pa = 395 + (6 – 5)*(420 – 395)/(10 – 5) = 395 + 5 = 400 K.

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