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Mariana [72]
3 years ago
13

Which of the following statements is true? Question 5 options: Nuclear decay rates vary with the conditions of the reaction, but

chemical reaction rates do not. Neither chemical reaction rates nor nuclear decay rates vary with the conditions of the reaction. Both chemical reaction rates and nuclear decay rates vary with the conditions of the reaction. Chemical reaction rates vary with the conditions of the reaction, but nuclear decay rates do not
Chemistry
1 answer:
andrezito [222]3 years ago
6 0

Answer: I believe its a Chemical reaction rates vary with the conditions of the change, but nuclear decay rates do not.

Explanation:

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3 years ago
Find the pH during the titration of 20.00 mL of 0.1000 M butanoic acid, CH3CH2CH2COOH (K a = 1.54 × 10 − 5), with 0.1000 M NaOH
Zina [86]

Here is the full question

Find the pH during the titration of 20.00 mL of 0.1000 M butanoic acid, CH3CH2CH2COOH (K a = 1.54 × 10 − 5), with 0.1000 M NaOH solution after the following additions of titrant (total volume of added base given):

a) 10.00 mL  

pH   = <u>                        </u>

b) 20.10 mL

pH   = <u>                        </u>

c) 25.00 mL

pH   = <u>                        </u>

<u />

Answer:

pH = 4.81

pH = 10.40

pH = 12.04

Explanation:

a)

Number of moles of butanoic acid

= 20.00 \ mL * \frac{L}{1000 \ mL} * \frac{0.1000 \ mol}{ L}

= 0.002000 mol

Number of moles of NaOH added

= 10.00 \ mL * \frac{L}{1000 \ mL }* \frac{0.1000 \ mol }{L}

= 0.001000 mol

pKa of butanoic acid = - log Ka

= - log ( 1.54 × 10⁻⁵)

= 4.81

Equation for the reaction is expressed as follows:

CH₃CH₂CH₂COOH    +  OH⁻   ----->   CH₃CH₂COO⁻   +   H₂O

The ICE Table is expressed as follows:

                    CH₃CH₂CH₂COOH    +  OH⁻   ----->   CH₃CH₂COO⁻   +   H₂O

Initial                 0.002000                  0.001000               0

Change            - 0.001000                - 0.001000         + 0.001000  

Equilibrium         0.001000                         0                   0.001000

Total Volume = (20.00 + 10.00 ) mL

=  30.00 mL = 0.03000 L

Concentration of  [CH₃CH₂CH₂COOH] = \frac{0.001000 \ mol}{ 0.03000 \ L }

= 0.03333 M

Concentration of [CH₃CH₂COO⁻]  = \frac{0.001000 \ mol}{ 0.03000 \ L}

= 0.03333 M

By Henderson- Hasselbalch equation

pH = pKa + log \frac{conjugate \ base}{acid }

pH = pKa + log \frac{CH_3CH_2CH_2COO^-}{CH_3CH_2CH_2COOH}

PH = 4.81  + log \frac{0.03333}{0.03333}

pH = 4.81

Thus; the pH of the resulted buffer solution after 10.00 mL of NaOH was added = 4.81

b )

After the equivalence point, we all know that the pH of the solution will now definitely be determined by the excess H⁺

Number of moles of butanoic acid

= 20.00 \ mL * \frac{L}{1000 \ mL} * \frac{0.1000 \ mol}{ L}

= 0.002000 mol

Number of moles of NaOH added

= 20.10 \ mL * \frac{L}{1000 \ mL} * \frac{0.1000 \ mol}{ L}

= 0.002010 mol

Following the previous equation of reaction , The ICE Table for this process is as follows:

                    CH₃CH₂CH₂COOH    +  OH⁻   ----->   CH₃CH₂COO⁻   +   H₂O

Initial                 0.002000                  0.002010               0

Change           - 0.002000                -0.002000         + 0.002000  

Equilibrium         0                                0.000010            0.002000

We can see here that the base is present in excess;

NOW, number of moles of base present in excess

= ( 0.002010 - 0.002000) mol

= 0.000010 mol

Total Volume = (20.00 + 20.10 ) mL

= 40.10 mL × \frac{1 \ L}{1000 \ mL }

= 0.04010 L

Concentration of acid [OH⁻] = \frac{0.000010 \ mol}{0.04010 \ L }

= 2.494*10^{-4} M

Using the ionic  product of water:

[H_3O^+] = \frac{K \omega }{[OH^-]}

where

K \omega = 10^{-14}

[H_3O^+] = \frac{1.0*10^{-14}}{2.494*10^{-14}}

= 4.0*10^{-11}M

pH = - log [H_3O^+}]

pH = - log [4.0*10^{-11}M]

pH = 10.40

Thus, the pH of the solution after the equivalence point = 10.40

c)

After the equivalence point, pH of the solution is determined by the excess H⁺.

Number of moles of butanoic acid

= 20.00 \ mL * \frac{L}{1000 \ mL} * \frac{0.1000 \ mol}{ L}

= 0.002000 mol

Number of moles of NaOH added

= 25.00 \ mL * \frac{L}{1000 \ mL} * \frac{0.1000 \ mol}{ L}

= 0.002500 mol

From our chemical equation; The ICE Table can be illustrated as follows:

                    CH₃CH₂CH₂COOH    +  OH⁻   ----->   CH₃CH₂COO⁻   +   H₂O

Initial                 0.002000                 0.002500               0

Change           - 0.002000                -0.002000           +0.002000  

Equilibrium         0                               0.000500            0.002000

Base is present in excess

Number of moles of base present in excess = [ 0.002500 - 0.002000] mol

= 0.000500 mol

Total Volume = ( 20.00 + 25.00 ) mL

= 45.00 mL

= 45.00 × \frac{1 \ L}{1000 \ mL }

= 0.04500 L

Concentration of acid [OH⁻] = \frac{0.0005000 \ mol}{ 0.04500 \ L }

= 0.01111 M

Using the ionic product of water [H_3O^+] = \frac{K \omega }{[OH^+]}

= \frac{1.0*10^{-14}}{0.01111}

= 9.0*10^{-13} M

pH = - log [H_3O^+}]

pH = - log [9.0*10^{-13}M]

pH = 12.04

Thus, the pH of the solution after the equivalence point = 12.04

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