Question$-1$:

Beef catalase has been used to accelerate the decomposition of hydrogen peroxide to yield

water and oxygen. The concentration of hydrogen peroxide is given as a function of time for

a reaction mixture with a $pH$ of $6\mathrm{.}76$ maintained at $30C.$

$($a$)$ Determine the Michaelis$-$Menten parameters $V_{\text{m}\text{a}\text{x}}$ and $K_M.$

$($b$)$ If the total enzyme concentration is tripled, what will the substrate concentration be after

$20$ minutes?

Question$-2$

Urea is catalyzed enzymatically by urease as given in the reaction equation below to form

ammonia and carbon dioxide. The table below gives the rate of reaction of urea with respect

to the concentration of urea. Determine the maximum rate of urea consumption, $V_{\text{m}\text{a}\text{x}}$ and

the Michaelis$-$Menten constant $K_M$ for the reaction:

$($a$)$ Draw schematically the Michaelis$-$Menten plot of rate of substrate reaction against substrate

concentration, indicate $V_{\text{m}\text{a}\text{x}}$ and Michaelis constant, $K_M.$

$($b$)$ Using the lineweaver$-$Bulk plot to determine $V_{\text{m}\text{a}\text{x}}$ and Michaelis constant, $K_M.$

$($c$)$ Using Hanes$-$Woolf plot determine $V_{\text{m}\text{a}\text{x}}$ and Michaelis constant, $K_M$

$($d$)$ Using Eadie$-$Hofstee plot determine $V_{\text{m}\text{a}\text{x}}$ and Michaelis constant, $K_M$

Urea $+$ Urease Urea $*$ Urease