Answer:
Explanation:
Efficiency of the electric power plant is 
Here Temperature of hot source 
and Temperature of sink 
Hence the efficiency is
Now another formula for thermal efficiency Is

Here QI is the of heat taken from source 100 MJ ; Q2 of heat transferred to the sink (river) to be found
W is the of work done and W = QI -Q2
Hence From

Hence the of heat transferred to the river Is 
Answer:
The value of the Michaelis–Menten constant is 0.0111 mM.
Explanation:
Michaelis–Menten 's equation:
![v_o=V_{max}\times \frac{[S]}{(K_m+[S])}=k_{cat}[E_o]\times \frac{[S]}{(K_m+[S])}](https://tex.z-dn.net/?f=v_o%3DV_%7Bmax%7D%5Ctimes%20%5Cfrac%7B%5BS%5D%7D%7B%28K_m%2B%5BS%5D%29%7D%3Dk_%7Bcat%7D%5BE_o%5D%5Ctimes%20%5Cfrac%7B%5BS%5D%7D%7B%28K_m%2B%5BS%5D%29%7D)
![V_{max}=k_{cat}[E_o]](https://tex.z-dn.net/?f=V_%7Bmax%7D%3Dk_%7Bcat%7D%5BE_o%5D)
Where:
= rate of formation of products
[S] = Concatenation of substrate
= Michaelis constant
= Maximum rate achieved
= Catalytic rate of the system
= Initial concentration of enzyme
On substituting all the given values
We have :

[S] = 0.10 mM
![\frac{v_o}{V_{max}}=\frac{[S]}{(K_m+[S])}](https://tex.z-dn.net/?f=%5Cfrac%7Bv_o%7D%7BV_%7Bmax%7D%7D%3D%5Cfrac%7B%5BS%5D%7D%7B%28K_m%2B%5BS%5D%29%7D)


The value of the Michaelis–Menten constant is 0.0111 mM.
[H+][OH-]=10-¹⁴
We are using this formula because we need to find the H+
substitute the value given for hydronium ion for OH-
[H+][4.19×10⁵]=10-¹⁴
[H+]=10-¹⁴÷4.19×10⁵
[H+]=2.387×10-¹⁹
Then the pH of the solution will be
pH= –log¹⁰ [H+]
pH = –log¹⁰ [2.387×10-¹⁹]
pH= –log¹⁰2.387+19log¹⁰
= –0.378+19
pH =18.622