Task $1($of $3)$

Create a Python function named Stats that:

Has one input argument: a list of numerical values of any length.

Calculates the average and standard deviation for the data in the list $($either using the

equations presented in class or by using an imported library with the appropriate

functions. You may assume that the data is from a sample.$).$

Returns the average and standard deviation.

Test Value:

Stats$([2,4,7,10,16,17,20$ should return an average and standard deviation of:

$(10\mathrm{.}857142857142858,6\mathrm{.}938505396903366)$

Task $2($of $3)$

Antoine's Equation describes the relationship between vapor pressure and temperature for a pure

substance. The equation is:

$lo{g}_{10}(P)=A-\frac{B}{(C+T)}$

$P=$ vapor pressure $(mmHg)$

$T=$ temperature $(C)$

$A,B,C$ are constants that depend $on$ the substance

The table below lists the constants, A$,$ B$,$ and C$,$ for three substances. It also lists the

temperature range $($ Tmin to Tmax $)$ for which Antoine's equation is valid.

Create a Python script, HW$-$W$2$D$2\_$Task$2\_$UCusername, to do the following:

Prompt the user to specify one of the three substances listed $($Methanol$,$ Butane, or

Octane$)$

Validate the user's entry. If invalid, ask repeatedly for a valid substance.

Create a list of twenty temperatures evenly spaced from Tmin to Tmax given in the table

above. Note that this list of temperatures will be different for each substance.

Using Antoine's Equation, calculate and create a list of the vapor pressures

corresponding to each temperature in the list.

Output each temperature and its corresponding vapor pressure. Format your print

statement so that any floating point numbers are printed with $3$ places behind the decimal. Include appropriate units in your print statement. Note: You will likely want to use a

loop for this $-$ don't just separately output the entire list of temperatures followed by the

entire list of pressures.

Sample Output $($Partial$)$:

Substance: Methanol

Temperature $=-16\mathrm{.}000(C)$; Pressure $=10\mathrm{.}128(mmHg)$

Temperature $=-10\mathrm{.}368(C)$; Pressure $=15\mathrm{.}126(mmHg)$

Temperature $=-4\mathrm{.}737(C)$; Pressure $=22\mathrm{.}157(mmHg)$

Temperature $=0\mathrm{.}895(C)$; Pressure $=31\mathrm{.}879(mmHg)$

Temperature $=6\mathrm{.}526(C)$; Pressure $=45\mathrm{.}108(mmHg)$

Task $3($of $3)$

Develop a Python script, HW$-$W$2$D$2\_$Task$3\_$UCusername, to do the following:

Create a $2$d list of the Resistor Values:

$R=\left[\begin{array}{cc}100& 200\\ 810& 560\\ 470& 360\end{array}\right]$

Using a loop, for each row in $R,$ compute the resistance if the two resistors are combined

in series and save the results in a list. $(R_{\text{S}\text{e}\text{r}\text{i}\text{e}\text{s}}=R_1+R_2)$

Using a loop, for each row in R$,$ compute the resistance if the two resistors are combined

in parallel and save the results in a list. Note: you can do this within the same loop you

used to calculate series resistances. $(R_{\text{P}\text{a}\text{r}\text{a}\text{l}\text{l}\text{e}\text{l}}=\frac{1}{\frac{1}{R_1}+\frac{1}{R_2}})$

Output each pair of resistor values and their corresponding resistances. Format your print

statement so that each value is clearly labeled, and rounded to one place behind the

decimal point in the case of the parallel resistances you calculated.

Test Values:

$R1=100$; $R2=200$; Rseries $=300$; Rparallel $=66\mathrm{.}7$

$R1=810$;$R2=560$; Rseries $=1370$; Rparallel $=331\mathrm{.}1$

$R1=470$; $R2=360$; Rseries $=830$; Rparallel $=203\mathrm{.}9$