At what concentration of CH 3 COOH will the [ H +] obtained will be same as that obtained from 10-2 M HCOOH ,( Ka ( CH 3 COOH )=10-5, Ka ( HCOOH )=10-4)

Question

At what concentration of CH 3 COOH will the [ H +] obtained will be same as that obtained from 10-2 M HCOOH ,( Ka ( CH 3 COOH )=10-5, Ka ( HCOOH )=10-4) (A) 10 M (B) 5 M (C) 10-1 M (D) 6 M

Tardigrade Admin · Accepted Answer

C 1 α1= C 2 α2 ⇒ C 1 √( Ka 1/ C 1)= C 2 × √( Ka 2/ C 2) ⇒ √ C 1 Ka 1=√ C 2 Ka 2 ⇒ C 1 Ka 1= C 2 Ka 2 ⇒ C 1 × 10-5=10-2 × 10-4 ⇒ C 1=10-1 M

Q. At what concentration of $C H_{3} COO H$ will the $[H^{+}]$ obtained will be same as that obtained from $1 0^{- 2} M$ $H COO H, (K a (C H_{3} COO H) = 1 0^{- 5}, K a (H COO H) = 1 0^{- 4})$

$10 M$

$5 M$

$1 0^{- 1} M$

$6 M$

$C_{1} α_{1} = C_{2} α_{2}$
$\Rightarrow C_{1} \frac{K a _{1}}{C _{1}} = C_{2} \times \frac{K a _{2}}{C _{2}}$
$\Rightarrow C_{1} K a_{1} = C_{2} K a_{2}$
$\Rightarrow C_{1} K a_{1} = C_{2} K a_{2}$
$\Rightarrow C_{1} \times 1 0^{- 5} = 1 0^{- 2} \times 1 0^{- 4}$
$\Rightarrow C_{1} = 1 0^{- 1} M$

Q. At what concentration of CH3​COOH will the [H+] obtained will be same as that obtained from 10−2M HCOOH,(Ka(CH3​COOH)=10−5,Ka(HCOOH)=10−4)

10M

5M

10−1M

6M

C1​α1​=C2​α2​ ⇒C1​C1​Ka1​​​=C2​×C2​Ka2​​​ ⇒C1​Ka1​​=C2​Ka2​​ ⇒C1​Ka1​=C2​Ka2​ ⇒C1​×10−5=10−2×10−4 ⇒C1​=10−1M

Q. At what concentration of $C H_{3} COO H$ will the $[H^{+}]$ obtained will be same as that obtained from $1 0^{- 2} M$ $H COO H, (K a (C H_{3} COO H) = 1 0^{- 5}, K a (H COO H) = 1 0^{- 4})$

$10 M$

$5 M$

$1 0^{- 1} M$

$6 M$