Answer:
Part (a) The number of molecules of H₂SO₄ in the solution is 3.011 X 10²² molecules
Part (b) the molarity of the solution is 0.5 M
Part (c) the pH of the solution is 0
Part(d) the pH of the solution is 13.87
Explanation:
Part (a) How many H₂SO₄ molecules are in this solution
number of moles = Reacting mass/molar mass
Molar mass of H₂SO₄ = (2x1 + 32 + 4X16) = 98 g/mol
number of moles = 4.9/98 = 0.05 mol.
I mole = 6.022 x 10²³ molecules
0.05 mole = (0.05 X 6.022 x 10²³) molecules
= 3.011 X 10²² molecules
Part (b) What is the molarity of the solution
molarity = moles of solute/liters of solution
molarity = 0.05/(100 x 10⁻³ L)
molarity = 0.5 M
Part (c) What is the pH of the solution
H₂SO₄ ⇄ 2H⁺ + SO₄²⁻
pH = -Log[2H⁺]
pH = -Log[2*0.5]
pH = -Log[1]
pH = 0
Part(d) What is the pH of the solution if 3.0 grams of NaOH is added to the solution
molar mass of NaOH = ( 23 + 16 +1) = 40g/mol
Number of moles = 3/40 = 0.075 moles
molarity = 0.075/(100 x 10⁻³ L)
molarity = 0.75 M
pOH = - Log[OH⁻]
pOH = - Log[0.75]
pOH = 0.13
Also, pH + pOH = 14
pH = 14 - pOH
pH = 14 - 0.13
pH = 13.87