Question

In: Chemistry

What volume (to the nearest 0.1 mL) of 6.00-M NaOH must be added to 0.400 L...

What volume (to the nearest 0.1 mL) of 6.00-M NaOH must be added to 0.400 L of 0.250-M HNO2 to prepare a pH = 4.30 buffer?

What volume (to the nearest 0.1 mL) of 5.50-M HCl must be added to 0.250 L of 0.200-M K2HPO4 to prepare a pH = 7.10 buffer?

Solutions

Expert Solution

The reaction between NaOH and HNO2 can be written as

Moles of HNO2 is 0.4 x 0.25 = 0.1

NaOH + HNO2 NaNO2 + H2O ICE table
initial: (6.00 x x1mL) (0.1) 0 0 (mol)
delta: (-6.00x1) (-6.00x1) (6.00x1) (6.00x1) (mol)
eq: (0.0) (0.1 - 6.00x1) (6.00x1) (6.00x1) (mol)


We know the equation:

pH = pKa + log(base/acid)
the pKa of HNO2 is 3.40

so we get:

4.30 = 3.40 + log([NaNO2]/[HNO2])
4.30 = 3.40 + log((6.00x1)/(0.1 - 6x1))

log((6.00x1)/(0.1 - 6x1)) =0.9

(6.00x1)/(0.1 - 6x1) = 7.94

6x1 = 0.794 - 47.66x1

53.66x1 = 0.794

x1 = 0.794/53.66

x1 = 0.01479 L

14.8 mL of 6.0 M NaOH is required

The reaction between HCl and K2HPO4 is

moles of K2HPO4 is 0.25 x 0.2 = 0.05

HCl + K2HPO4 KCl + KH2PO4 ICE table

initial 5.5x1 0.05 0 0

change -5.5x1 -5.5x1 5.5x1 5.5x1

equilibrium 0 0.05-5.5x1 5.5x1 5.5x1

We know the equation:

pH = pKa + log(base/acid)
the pKa of K2HPO4  is 7.21

so we get:

7.1 = 7.21 + log([K2HPO4]/[KH2PO4])
7.1 = 7.21 + log([0.05-5.5x1]/[5.5x1])

log([0.05-5.5x1]/[5.5x1]) = -0.11

[0.05-5.5x1]/[5.5x1] = 0.776

0.05-5.5x1 = 4.27x1

0.05 = 9.77x1

x1= 0.05/9.77

x1 = 0.00511L

5.10 mL of 5.50-M HCl


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