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$1.$ The laboratory of the local wastewater treatment plant $($WWTP$)$ is to set up a test to measure the BOD $\backslash (\{\}\_\{5\}\backslash )$ in the plant effluent. The $\backslash (\backslash$mathrm$\{$BOD$\}\_\{5\}\backslash )$ is expected to range between $20$ and $\backslash (30\backslash$mathrm$\{$mg$\}/\backslash$mathrm$\{$L$\}\backslash ).$ The textbook describes two conditions that must be met in a BOD test $($in the BOD bottle$)$ in order for the results to be acceptable $($section $3\mathrm{.}3\mathrm{.}2\mathrm{.}2)$:

a$)$ Approximately $\backslash (4\mathrm{.}0\backslash$mathrm$\{$mg$\}/\backslash$mathrm$\{$L$\}\backslash )$ of dissolved oxygen $($DO$)$ must be consumed during the five day incubation period,

b$)$ At least $\backslash (1\mathrm{.}0\backslash$mathrm$\{$mg$\}/\backslash$mathrm$\{$L$\}\backslash )$ of DO must remain in the BOD bottle when the test is completed.

Since the sample comes from the WWTP$,$ it contains indigenous $($local$)$ microorganisms and thus does not require seeding. Set up the BOD experiment knowing that the DO of the Dilution Water is $\backslash (9\mathrm{.}0\backslash$mathrm$\{$mg$\}/\backslash$mathrm$\{$L$\}\backslash ),$ and the DO in the plant effluent is $0($zero$)\backslash (\backslash$mathrm$\{$mg$\}/\backslash$mathrm$\{$L$\}\backslash ).$ Determine:

i$)$ How many mL of sample and how many mL of Dilution Water will the BOD bottles need to contain $(10$ points$)$ and

ii$)$ What would be the final DO in the BOD bottles on the fifth day. Does it meet criterion $($b$)?(10$ points$).$