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What are the number of degrees of freedom if the number of variables and number of equations are 21 and 9 respectively?

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What are the number of degrees of freedom if the number of variables and number of equations are 21 and 9 respectively?

(a) 7

(b) 9

(c) 10

(d) 12

I got this question during an internship interview.

My question is from Solving Material and Energy Balances Using Process Simulators in portion Humidity Charts & their Use, Analysis of the Degrees of Freedom in a Steady – State Process, Solving Material and Energy Balances Using Process and Unsteady State Material and Energy Balances of Basic Chemical Engineering

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Best answer
Correct choice is (d) 12

The explanation: Number of degrees of freedom = 21 – 9 = 12.

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