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Question

From 392 mg of H2SO4 , 1.204 *10^21 molecules are removed. How many moles are left ?

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Solution

Dear student,

No.ofmoles = fraction numerator W space t over denominator M o l. space w t. end fraction space o r space space space fraction numerator space N o. space space space o f space space space m o l e c u l e s over denominator N end fraction space



Taking molecular weight of H subscript 2 S O subscript 4= 98 g

number of moles of 392g H subscript 2 S O subscript 4 = 392 over 98 cross times 10 to the power of negative 3 end exponent



=4 cross times 10 to the power of negative 3 end exponent

=0.004 mol __________________(1)


Now,

1.204 × 10 to the power of 21 molecules =

fraction numerator 1.204 cross times 10 to the power of 21 over denominator 6.022 cross times 10 to the power of 23 end fraction equals 0.1999 cross times 10 to the power of negative 2 end exponent equals 0.001999 space m o l space space space space space space _ _ _ _ _ _ _ _ _ _ _ _ _ _ left parenthesis 2 right parenthesis

Now,

Moles left= (1) - (2)

= 0.004 - 0.001999

= 0.002001

So (approx.) 0.002 moles remaining


​​​​​​​Regards


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