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QJEEM20Che63e: JEE Main 2020 Chemistry - Class 11 JEEM20Che63e Solution: Two solutions, A and B, each of 100L was made by dissolving 4g…

Two solutions, A and B, each of 100L was made by dissolving 4g of NaOH and 9.8 g of H2SO4 in water, respectively. The pH of the resultant solution obtained from mixing 40L of solution A and 10L of solution B is :

Step-by-Step Verified Solution

In 100 L solution H2SO4 present = 9.8 gm

∴\therefore In 10 L solution H2SO4 present = 9.8×101009.8 \times {{10} \over {100}} gm

⇒\Rightarrow In 10 L solution moles of H2SO4 present = 9.898×10100{{9.8} \over {98}} \times {{10} \over {100}}

In one molecule of H2SO4 two H+ ion present.

∴\therefore In 10 L solution moles of H+ present = 2 ×\times 9.898×10100{{9.8} \over {98}} \times {{10} \over {100}} = 0.02 moles

Also In 100 L solution NaOH present = 4 gm

∴\therefore In 40 L solution NaOH present = 4×401004 \times {{40} \over {100}}

⇒\Rightarrow In 40 L solution moles of NaOH present = 440×40100{4 \over {40}} \times {{40} \over {100}}

In one molecule of NaOH one OH- ion present.

∴\therefore In 40 L solution moles of OH- ion present = 440×40100{4 \over {40}} \times {{40} \over {100}} = 0.04 moles

As moles of OH- ion is more than H+ ion, so solution is basic.

∴\therefore Final Conc. of OH– = 0.04−0.0240+10{{0.04 - 0.02} \over {40 + 10}} = 4 ×\times 10-4

∴\therefore pOH = – log (4 ×10–4) = 3.4

pH = 14 – 3.4 = 10.6

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