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mote1985 [20]
4 years ago
5

A box sits on a table. An arrow labeled F subscript N points up. An arrow labeled F subscript g points down. An arrow labeled F

subscript P points right. An arrow labeled A points left. The box is at rest on the table. Which force is represented by vector A? sliding friction rolling friction static friction fluid friction
Chemistry
1 answer:
Tresset [83]4 years ago
5 0

Answer:

Static Friction

Explanation:

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The Ksp of AgI is 8.3× 10–17. You titrate 25.00 mL of 0.08160 M NaI with 0.05190 M AgNO3. Calculate pAg after the following volu
11111nata11111 [884]

Answer:

(a) 13.64; (b) 8.04; (c) 2.25

Explanation:

AgI(s) ⇌ Ag⁺(aq) + I⁻(aq)

K_{\text{sp}} = {\text{[Ag$^{+}$][I$^{-}$]} = 8.3\times 10^{-17}

(a) pAg at 35.10 mL

\text{Moles of I$^{-}$} = \text{0.02500 L} \times \dfrac{\text{0.08160 mol}}{\text{1 L}} = 2.040 \times 10^{-3}\text{ mol/L }\\\text{Moles of Ag$^{+}$} = \text{0.03510 L} \times \dfrac{\text{0.05190 mol}}{\text{1 L}} = 1.822 \times 10^{-3}\text{ mol/L}

             AgI(s) ⇌ Ag⁺(aq)      +      I⁻(aq)

I/mol:                 1.822 × 10⁻³     2.040 × 10⁻³

C/mol:              -1.822 × 10⁻³     -1.822 × 10⁻³

E/mol:                       0                0.218 × 10⁻³

We have a saturated solution of AgI containing 0.218 × 10⁻³ mol of excess I⁻.

V = 25.00 mL + 35.10 mL = 60.10 mL

\text{[I$^{-}$]} = \dfrac{0.218 \times 10^{-3}\text{ mol}}{\text{0.0610 L}} = 3.57 \times 10^{-3}\text{ mol/L}\\

                     AgI(s) ⇌ Ag⁺(aq)    +    I⁻(aq)

E/mol·L⁻¹:                         s       3.57 × 10⁻³ + s

K_{\text{sp}} = s(3.57 \times 10^{-3} + s) = 8.3\times 10^{-17}\\

Check for negligibility:

\dfrac{3.57 \times 10^{-3}}{8.3\times 10^{-17}} = 4.3 \times 10^{13} > 400\\\\\therefore s \ll 3.63 \times 10^{-3}\\K_{\text{sp}} = s\times 3.63 \times 10^{-3}= 8.3\times 10^{-17}\\\\s = \text{[Ag$^{+}$]} = \dfrac{8.3\times 10^{-17}}{3.63 \times 10^{-3}} =2.29 \times 10^{-14}\\\\\text{pAg} = -\log \left (2.29\times 10^{-14} \right) = \mathbf{13.64}

(b) At equilibrium

                AgI(s) ⇌ Ag⁺(aq) + I⁻(aq)

E/mol·L⁻¹:                    s             s

K_{\text{sp}} = s\times s = s^{2} = 8.3\times 10^{-17}\\s = \sqrt{8.3\times 10^{-17}} = 9.11 \times 10^{-9}\\\text{pAg} = -\log \left (9.11 \times 10^{-9} \right) = \mathbf{8.04}

(c) At 47.10 mL

\text{Moles of Ag$^{+}$} = \text{0.04710 L} \times \dfrac{\text{0.05190 mol}}{\text{1 L}} = 2.444 \times 10^{-3}\text{ mol}

              AgI(s) ⇌ Ag⁺(aq)      +      I⁻(aq)

I/mol:                  2.444 × 10⁻³     2.040 × 10⁻³

C/mol:               -2.040 × 10⁻³    -2.040 × 10⁻³

E/mol:                0.404 × 10⁻³              0

V = 25.00 mL + 47.10 mL = 72.10 mL

\text{[Ag$^{+}$]} = \dfrac{0.404 \times 10^{-3}\text{ mol}}{\text{0.0721 L}} = 5.61 \times 10^{-3}\text{ mol/L}\\\text{pAg} = -\log(5.61 \times 10^{-3}) = \mathbf{2.25}

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