Equilibrium Question 459

Question: The $ pH $ of the aqueous solution containing $ 0.49gm $ of $ H_2SO_4 $ in one litre is [EAMCET 1997]

Options:

A) 2

B) 1

C) 1.7

D) 0.3

Show Answer

Answer:

Correct Answer: A

Solution:

Moles of $ H_2SO_4=\frac{0.49}{98}=5\times {10^{-3}} $

moles of $ H_2SO_4 $ present per litre of solution (molarity) $ =\frac{.005}{1}=.005 $ M. $ H_2SO_4+2H_2O $ ⇌ $ 2H_3{O^{+}}+SO_4^{-,-} $

one mole of $ H_2SO_4 $ give 2 moles of $ H_3{O^{+}} $ ions. $ H_3{O^{+}}=2\times (H_2SO_4) $

$ =2\times 0.005=0.01 $ M $ [{H^{+}}]={10^{-2}} $ M ; $ pH=2 $



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