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Question

250 ml of Na2CO3 solution contains 2.65 g of Na2CO3 .10 ml of this solution is mixed with X ml of water to obtain 0.001 M Na2CO3 solution. The value of X is:

A
1000
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B
990
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C
9990
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D
90
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Solution

The correct option is B 990
The molar mass of sodium carbonate is 106 g/mol.
2.65 g of sodium carbonate corresponds to
2.65106=0.025 moles
Molar concentration will be the ratio of the number of moles of sodium carbonate to the volume of solution. It will be
0.0250.250=0.1 M.
0.1 M solution is diluted to 0.001 M
MV=MV
0.1×10=0.001×(10+X)
10+X=1000
X=100010=990 ml
Hence, the value of X is 90.

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