Explanation:
a) Mass of potassium sulfate = 177 mg =0.177 g
1 g= 1000 mg
Molecular mass of potassium sulfate = 174.24 g/mol
Moles of potassium sulfate,n =
b) 1 mol = 1000 milli moles
0.001016 mol =0.001016 × 1000 milli moles = 1.016 milli moles
c) 
n = moles of substance
V = Volume of the solution in L
Molarity of of potassium sulfate:
Volume of the solution = 775 mL = 0.775 L (Mass of solute is very less)
![[K_2SO_4]=\frac{0.001016 mol}{0.775 L}=0.001311 mol/L](https://tex.z-dn.net/?f=%5BK_2SO_4%5D%3D%5Cfrac%7B0.001016%20mol%7D%7B0.775%20L%7D%3D0.001311%20mol%2FL)

1 mol potassium sulfate gives 2 mol of potassium ions and 1 mole of sulfate ions.
Molarity of potassium ions:
![[K^+]=2\times [K_2SO_4]=2\times 0.001311 mol/L=0.002622 mol/L](https://tex.z-dn.net/?f=%5BK%5E%2B%5D%3D2%5Ctimes%20%5BK_2SO_4%5D%3D2%5Ctimes%200.001311%20mol%2FL%3D0.002622%20mol%2FL)
Molarity of sulfate ions:
![[SO_4^{2-}]=1\times [K_2SO_4]=1\times 0.001311 mol/L=0.001311 mol/L](https://tex.z-dn.net/?f=%5BSO_4%5E%7B2-%7D%5D%3D1%5Ctimes%20%5BK_2SO_4%5D%3D1%5Ctimes%200.001311%20mol%2FL%3D0.001311%20%20mol%2FL)
d) 
Volume of solution = 0.775 L
Amount of potassium sulfate = 177 mg

e) Volume of the solution = 775 mL
Mass of potassium sulfate = 177 mg =0.177 g


f) ![pK^=-\log[K^+]](https://tex.z-dn.net/?f=pK%5E%3D-%5Clog%5BK%5E%2B%5D)
![pK^+=-\log[0.002622 M]=2.58](https://tex.z-dn.net/?f=pK%5E%2B%3D-%5Clog%5B0.002622%20M%5D%3D2.58)
![pSO_4^{2-}=-\log[SO_4^{2-}]](https://tex.z-dn.net/?f=pSO_4%5E%7B2-%7D%3D-%5Clog%5BSO_4%5E%7B2-%7D%5D)
![pK^+=-\log[0.001311 M]=2.88](https://tex.z-dn.net/?f=pK%5E%2B%3D-%5Clog%5B0.001311%20M%5D%3D2.88)