Calculate the pH of a 0.45M solution of Benzonic Acid. (Use the quadratic equation to solve).

Free

60.1K

Verified Solution

Question

Chemistry

Calculate the pH of a 0.45M solution of Benzonic Acid. (Use thequadratic equation to solve).

Answer & Explanation Solved by verified expert

3.6 Ratings (596 Votes)

Answer â€“ Given, [C₆H₅COOH] = 0.45 M , Ka for the C₆H₅COOH = 6.4*10^-5

C₆H₅COOH + H₂O ------> H₃O⁺ + C₆H₅COO^-

I Â Â 0.45Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â 0

C Â Â Â -xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â +xÂ Â Â Â Â Â Â Â Â +x

E Â Â 0.45-xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â +xÂ Â Â Â Â Â Â Â Â +x

Ka = [H₃O⁺] [C₆H₅COO^-] / [C₆H₅COOH]

6.4*10^-5 = x*x /(0.45-x)

6.4*10^-5 *(0.45-x) = x²

Now we need to set up quadratic equation

2.88*10^-5 - 6.4*10^-5 x = x²

x^{2 +} 6.4*10^-5 x - 2.88*10^-5 = 0

a =1 , b = 6.4*10^-5, c = -2.88*10^-5

Using the quadratic equation

x = -b +/- âˆšb²-4a*c / 2a

Plugging the value in this formula

x = 0.00533 M

so, x = [H₃O⁺] = 0.00533 M

so, pH = -log [H₃O⁺]

Â Â Â Â Â Â Â Â Â Â = -log 0.00533 M

Â Â Â Â Â Â Â Â Â Â = 2.27

So, the pH of a 0.45M solution of Benzonic Acid is 2.27

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!

Become a Member

Calculate the pH of a 0.45M solution of Benzonic Acid. (Use the quadratic equation to solve).

Free

60.1K

Verified Solution

Question

Chemistry

Calculate the pH of a 0.45M solution of Benzonic Acid. (Use thequadratic equation to solve).

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students

Imagine a new kind of flip-flop called a J N flip-flop which has two inputs J...

Challenges in the current fiber laser technology. If you have references, please add them to your...

Case One: Green Machine, Inc. Green Machine, Inc., a company devoted to producing eco-friendly household products, is...

Suppose you borrow 19 250 from a bank to purchase a house You have a...

Choose the wrong statement:A Alpha particles can be scattered by Gold nucleusB X-ray can be...

A 15 resistor R and a 30 resistor R are to be connected in parallel...

A parallel circuit consists of the two ideal inductances L and 2L and a resistance...

5 G E D H F FD 8x 8 DG 3x 12 x FD

A 12 in Fig P5 12 600 lb 3600 lb in D 600 lb 8...

Three students attempt to define what it means for AB and CD to be perpendicular...

If a coefficient BB is estimated to be very close to zero (e.g., 0.002 or...

Benson's established a trust fund that provides $125,000 in college scholarships each year. The trust...