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1g charcoal show chemical adsorption of some acetic acid on coming in contact with 100 mL of 0.50 M acetic acid and the molarity of acetic acid is reduced to 0.49 M. If surface area of charcoal is 3.015 × 102 m2/g, the surface area of each chemical adsorbed molecule of acetic acid is:
  • a)
    3.015 × 102 m2
  • b)
    5 × 10–19 m2
  • c)
    2.5 × 10–19 m2
  • d)
    1.25 × 10–19 m2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
1g charcoal show chemical adsorption of some acetic acid on coming in ...
The initial number of moles of acetic acid in the 100 mL solution can be calculated using the formula:

moles = volume (L) x molarity

Converting 100 mL to L:

volume = 100 mL / 1000 mL/L = 0.1 L

Calculating the initial number of moles:

moles = 0.1 L x 0.50 M = 0.05 moles

After the adsorption of some acetic acid onto the charcoal, the molarity of the remaining acetic acid in the solution is 0.49 M. We can calculate the final number of moles of acetic acid using the same formula:

moles = volume (L) x molarity

Calculating the final volume of the solution:

volume = moles / molarity

moles = 0.05 - x (where x is the number of moles of acetic acid adsorbed onto the charcoal)

volume = (0.05 - x) / 0.49

Since the final volume of the solution is still 0.1 L, we can set up the equation:

(0.05 - x) / 0.49 = 0.1

Simplifying the equation:

0.05 - x = 0.1 x 0.49

0.05 - x = 0.049

x = 0.05 - 0.049

x = 0.001

Therefore, the number of moles of acetic acid adsorbed onto the charcoal is 0.001 moles.

To calculate the molarity of acetic acid after adsorption, we need to subtract the moles of acetic acid adsorbed from the initial moles and divide by the final volume:

moles = 0.05 - 0.001 = 0.049 moles

molarity = moles / volume

molarity = 0.049 moles / 0.1 L = 0.49 M

Therefore, the molarity of acetic acid after adsorption is 0.49 M.
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1g charcoal show chemical adsorption of some acetic acid on coming in contact with 100 mL of 0.50 M acetic acid and the molarity of acetic acid is reduced to 0.49 M. If surface area of charcoal is 3.015 × 102 m2/g, the surface area of each chemical adsorbed molecule of acetic acid is:a)3.015 × 102 m2b)5 × 10–19 m2c)2.5 × 10–19 m2d)1.25 × 10–19 m2Correct answer is option 'B'. Can you explain this answer?
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