A BOD test is conducted using standard size BOD bottles. The waste that is being

tested has been tested many times before, and therefore is known to have an ultimate BOD

concentration of $300$ mg$/$L$.$ Also, the reaction rate constant for this waste is $0\mathrm{.}25/$day$.$ The

seed and dilution water have no demand. The dissolved oxygen in the bottles on day zero is

$10\mathrm{.}33$ mg$/$L$.$ Three bottles are then prepared as follows:

$$ Bottle #$1$: $0\mathrm{.}50$ mL of waste

$$ Bottle #$2$: $5\mathrm{.}0$ mL of waste

$$ Bottle #$3$: $50$ mL of waste

All three bottles are incubated for $5$ days at $20$C in the dark, and then tested for DO on day

$5.$ For each bottle, indicate whether the test results are valid and WHY $($quantitative

calculations are required to support your answer$).$