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Please explain the following
question image
Asked by Balbir | 24 Dec, 2018, 08:09: AM
answered-by-expert Expert Answer
Let the solubility of Ca(OH)2 be 'x'  mol/lit
left square bracket Ca to the power of 2 plus end exponent right square bracket space equals space straight x space mol divided by lit

left square bracket OH to the power of minus right square bracket space equals space 2 straight x space mol divided by lit

straight K subscript sp space space equals space left square bracket Ca to the power of 2 plus end exponent right square bracket space left square bracket OH to the power of minus right square bracket space


space space space space space space space space equals space 4.42 cross times 10 to the power of negative 5 end exponent space

straight x open parentheses 2 straight x close parentheses squared space equals space 4.42 cross times 10 to the power of negative 5 end exponent space

straight x cubed space equals open parentheses fraction numerator space 4.42 cross times 10 to the power of negative 5 end exponent space over denominator 4 end fraction close parentheses

straight x space space equals space open parentheses fraction numerator space 4.42 cross times 10 to the power of negative 5 end exponent space over denominator 4 end fraction close parentheses to the power of bevelled 1 third end exponent

straight x equals space 2.23 cross times 10 to the power of negative 2 end exponent space mol divided by lit

Now comma

Ca left parenthesis OH right parenthesis subscript 2 space equals space left square bracket Ca to the power of 2 plus end exponent right square bracket space equals space 2.23 cross times 10 to the power of negative 2 end exponent space space mol divided by lit

Amount space of space Ca left parenthesis OH right parenthesis subscript 2 space in space 500 space ml space of space saturated space solution space comma
space space space space space space space space space space space space space equals space fraction numerator 2.23 cross times 10 to the power of negative 2 end exponent over denominator 2 end fraction cross times 74

space space space space space space space space space space space space space space equals 82.39 cross times 10 to the power of negative 2 end exponent space straight g space

space space space space space space space space space space space space space space space equals space 823.9 space mg

Now comma

Volume space of space 0.4 space NaOH space equals space 500 space ml
space
Volume space of space Ca left parenthesis OH right parenthesis subscript 2 space space solution space taken space equals 500 space ml

Volume space after space mixing space equals space 1000 space ml

Molarity space of space NaOH space in space mixture space equals space fraction numerator 500 cross times 0.4 over denominator 1000 end fraction

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 0.2 space straight M

therefore space left square bracket NaOH right square bracket space equals space left square bracket OH to the power of minus right square bracket space equals space 0.2 space straight M

straight K subscript sp space space equals space left square bracket Ca to the power of 2 plus end exponent right square bracket space left square bracket OH to the power of minus right square bracket space

space space space space space space space space equals space 4.42 cross times 10 to the power of negative 5 end exponent space

left square bracket Ca to the power of 2 plus end exponent right square bracket space equals space fraction numerator space 4.42 cross times 10 to the power of negative 5 end exponent space over denominator left square bracket OH to the power of minus right square bracket space end fraction

space space space space space space space space space space space space equals space 110.5 cross times 10 to the power of negative 5 end exponent space mol divided by lit

Amount space of space Ca left parenthesis OH right parenthesis subscript 2 space in space mixture space solution space equals space 110.5 cross times 10 to the power of negative 5 end exponent space cross times 74 space cross times cross times

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space 81.8 space mg
space
Amount space of space Ca left parenthesis OH right parenthesis subscript 2 space preipitated space space equals space 823.9 space mg space minus space 81.8

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 742.1 space mg
 
Amount of Ca(OH)2 precipitated = 742.1 mg.
 
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