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Question
10 g of caustic soda dissolved in 100 mL of water makes a solution of caustic soda. Amount of caustic soda needed for 1 litre of water to make the same type of solution is ______.
Solution
10 g of caustic soda dissolved in 100 mL of water makes a solution of caustic soda. Amount of caustic soda needed for 1 litre of water to make the same type of solution is 100 g.
Explanation:
Given, 10 g of caustic soda dissolved in 100 mL water.
The ratio of caustic soda to water should be in proportion.
10 g : 100 mL :: x g : 1 L
`(10 g)/(100 mL) = (x g)/(1000 mL)` .....[∵ 1 L = 1000 mL]
⇒ `x g xx 100` mL = `10 g xx 1000` mL .....[By corss-multiplication]
`x = (10 g xx 1000 mL)/(100 mL)`
x = 100 g
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