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Question

Four grams of $$NaOH$$ solid dissolved in just enough water to make $$1$$ litre of solution. What is the $$\left[ { H }^{ + } \right] $$ fo the solution?


A
102 moles/litre
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B
101 moles/litre
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C
1012 moles/litre
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D
1013 moles/litre
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Solution

The correct option is A $${10}^{-13}$$ moles/litre
Option D is correct
$$Mass\quad of\quad NaOH=4g\\ Volume\quad of\quad solution=1L\\ Molarity=\frac { Mole\quad number }{ Volume } \\ No.\quad of\quad mole=\frac { Given\quad Mass }{ Molar\quad mass } \\ Molar\quad mass\quad of\quad NaOH=23+16+1=40g\\ No.\quad of\quad mole=\frac { 4 }{ 40 } =0.1\\ Molarity=\frac { 0.1 }{ 1 } =0.1M\\ [O{ H }^{ - }]=O.1\quad M\\ [{ H }^{ +1 }]=\frac { { K }_{ w } }{ [O{ H }^{ - }] } \\ \quad \quad \quad \quad =\frac { { 10 }^{ -14 } }{ 0.1 } ={ 10 }^{ -13 }\quad M$$

Chemistry

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