Q$2-$ Viscosity is a property of gases and fluids that characterizes their resistance

to flow. For most materials viscosity is highly sensitive to temperature. For gases,

the variation of viscosity with temperature is frequently modeled by an equation

of the form

$=\frac{C{T}^{\frac{3}{2}}}{T+S}$

where $$ is the viscosity, $T$ is the absolute temperature, and $C$ and $S$ are empirical

constants. Below is a table that gives the viscosity of air at different temperatures

$($data from B$.$R$.$ Munson, D$.$F$.$ Young, and T$.$H$.$ Okiishi, Fundamentals of Fluid

Mechanics, $4$th ed$.,$ John Wiley and Sons, $2002).$

Determine the constants $C$ and $S$ by curve$-$fitting the equation to the data points.

Make a plot of viscosity versus temperature $($in $C).$ In the plot show the data

points with markers and the curve$-$fitted equation with a solid line.

The curve fitting can be done by rewriting the equation in the form

$\frac{T^{\frac{3}{2}}}{}=\frac{1}{C}T+\frac{S}{C}$

and using a first$-$order polynomial.