Question 1
The correct answer is a.
Explanation
The relationship between [tex]pH[/tex] and [tex]pOH[/tex] is given by
[tex]pH + pOH = 14[/tex], We can use [tex]pH=-log[H^+][/tex] and [tex]pOH= -log[OH^-][/tex]. In a we are given the concentration of [OH] and so we use that to find the pOH, then from pOH we can find the pH.
[tex]pOH= -log [2.4 \times 10^-^2] = 1.62\\\\pH = 14 - 1.62= 12.38[/tex]
[tex] b.pH=-log(1.53 \times 10^-^2) = 1.82[/tex]
c. HCl is a strong acid so it dissociates to 0.0001 [tex]H^+[/tex] and 0.0001 [tex]Cl^-[/tex], hence
[tex]pH= -log[0.0001] = 4[/tex]
[tex] d.pOH= -log [4.4 \times 10^-9] = 8.36\\\\pH= 14- 8.36 = 5.64[/tex]
[tex] a.[OH^-] = 2.4 \times 10^-^2[/tex] has a pH 12.36 which is greater than 7
Question 2
The correct answer is d [tex]O_2(g)[/tex].
Explanation
This is because solids and liquids do not appear in the equilibrium constant expression. Since [tex]K= \frac{[products]}{[reactants]}[/tex].
For the equation
[tex]2PbS_(_s_) + 3O_2_(_g_) + C_(_s_) \implies 2Pb _(_s_) + CO_2_(_g_) + SO_2(_g_)[/tex]
[tex]K= \frac{[CO_2][SO_2]}{[O_2]}[/tex]
Question 3
The correct answer is c
In a molecule the oxidation number are assigned to get the sum of a neutral charge or ion. The overall charge of [tex]SO_4^2^-[/tex] is -2 and in all its compounds oxygen has -2 charge, hence
[tex]S+ 4O = -2\\S+4(-2)=-2\\\implies S= -2 +8 = +6[/tex]
Question 4
The correct answer is b. An oxidising agent must gain electrons in a reaction, thus it is the one that undergoes reduction.In order find out what is being reduced we write half reactions for molecules that change their state. [tex]Ag^+[/tex] and [tex]K^+[/tex] are spectactor ions in this reaction.
[tex]Cl_2 + 2e \implies 2Cl^-\\\\NO_2 +H_2O \implies NO_3 +2H^+ +2e\\\\H^+ + OH^- \implies H_2O\\[/tex]
In the chloride half reaction [tex]Cl_2[/tex] gains electrons to become [tex]Cl^-[/tex] ions.
Question 5
The last element D is correct. When a nucleus decays by beta emission it produces a daughter nucleus that has same mass number but different atomic number. Therefore beta-decay will have equation
[tex]\frac{187}{75} Re \implies \frac{187}{76} Os + \beta[/tex]
Question 6
The correct answer is a. A beta particle is an electron because it has a charge of -1 and has same mass as an electron, while a positron is a particle with the same mass as an electron but with a positive charge.