Answer:
The half-life of Th-232 is 1.4 ∙ 10¹⁰ years.
The question is missing parts. The complete question is as follows.
Consider the two gaseous equilibria involving SO2 and the corresponding equilibrium constants at 298K:
⇔
; 
⇔ 
The values of the equilibrium constants are related by:
a)
= 
b) 
c) 
d) 
Answer: c) 
Explanation: <u>Equilibrium</u> <u>constant</u> is a value in which the rate of the reaction going towards the right is the same rate as the reaction going towards the left. It is represented by letter K and is calculated as:
![K=\frac{[products]^{n}}{[reagents]^{m}}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B%5Bproducts%5D%5E%7Bn%7D%7D%7B%5Breagents%5D%5E%7Bm%7D%7D)
The concentration of each product divided by the concentration of each reagent. The indices, m and n, represent the coefficient of each product and each reagent.
The equilibrium constants of each reaction are:
⇔ 
![K_{1}=\frac{[SO_{3}]}{[SO_{2}][O_{2}]^{1/2}}](https://tex.z-dn.net/?f=K_%7B1%7D%3D%5Cfrac%7B%5BSO_%7B3%7D%5D%7D%7B%5BSO_%7B2%7D%5D%5BO_%7B2%7D%5D%5E%7B1%2F2%7D%7D)
⇔ 
![K_{2}=\frac{[SO_{2}]^{2}[O_{2}]}{[SO_{3}]^{2}}](https://tex.z-dn.net/?f=K_%7B2%7D%3D%5Cfrac%7B%5BSO_%7B2%7D%5D%5E%7B2%7D%5BO_%7B2%7D%5D%7D%7B%5BSO_%7B3%7D%5D%5E%7B2%7D%7D)
Now, analysing each constant, it is easy to see that
is the inverse of
.
If you doubled the first reaction, it will have the same coefficients of the second reaction. Since coefficients are "transformed" in power for the constant, the relationship is:

Explanation:
First Reaction;
Ca + ZnCl2 --> CaCl2 + Zn
Oxidized Reactant: Ca. There is increase in oxidation number from 0 to +2
Reduced Reactant: Zn. There is decrease in oxidation number form +2 to 0
Second Reaction:
FeI2 + Mg --> Fe + MgI2
Oxidized Reactant: Mg. There is increase in oxidation number from 0 to +2
Reduced Reactant: Fe. There is decrease in oxidation number form +2 to 0
Third Reaction;
Mg + 2AgNO3 --> Mg(NO3)2 + Ag
Oxidized Reactant: Mg. There is increase in oxidation number from 0 to +2
Reduced Reactant: Ag. There is decrease in oxidation number form +1 to 0
Answer:
Mole fraction of solute (heptane) → 0.73
Explanation:
Mole fraction = Moles of solute or solvent / Total moles
Let's calculate the moles of everything:
Moles of solute → Mass of solute / Molar mass
36 g / 100 g/mol = 0.36 moles
Moles of solvent → Mass of solvent / Molar mass
16 g / 119.35 g/mol = 0.134 moles
Total moles = 0.36 + 0.134 = 0.494 moles
Mole fraction of solute = 0.36 / 0.494 → 0.73