The Arrhenius equation is used to relate the viscosity (eta) of a fluid (the fluid's internal friction,

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The Arrhenius equation is used to relate the viscosity \(\eta\) of a fluid (the fluid's internal friction, which is what makes it resist a tendency to flow) to its absolute temperature \(T\) :

\[\frac{1}{\eta}=A e^{-E /(R T)}\]

where \(A\) is a constant specific to that fluid and \(R\) is the ideal gas constant. Solve this equation for \(T\). The resulting formula is one you could use to investigate the viscosity of different grades of motor oil at different temperatures.

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