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Calculate the % of free SO(3) in oleum (...

Calculate the `%` of free `SO_(3)` in oleum ( a solution of `SO_(3)` in `H_(2)SO_(4)`) that is labelled `109% H_(2)SO_(4)` by weight.

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To calculate the percentage of free \( SO_3 \) in oleum that is labeled as \( 109\% H_2SO_4 \) by weight, we will follow these steps: ### Step 1: Understand the Meaning of \( 109\% H_2SO_4 \) The label \( 109\% H_2SO_4 \) indicates that for every 100 grams of solution, there are 109 grams of \( H_2SO_4 \). This means that there is an excess of \( H_2SO_4 \) compared to the standard concentration. ### Step 2: Calculate the Amount of Water Since \( 109\% H_2SO_4 \) means there is 9 grams of water (because \( 109 - 100 = 9 \)), we can conclude that in 100 grams of this oleum solution, there are: - 100 grams of \( H_2SO_4 \) ...
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Oleum is considered as a solution of SO_(3) in H_(2)SO_(4) , which is obtained by passing SO_(3) in solution of H_(2)SO_(4) When 100 g sample of oleum is diluted with desired mass of H_(2)O then the total mass of H_(2)SO_(4) obtained after dilution is known is known as % labelling in oleum. For example, a oleum bottle labelled as 109% H_(2)SO_(4) means the 109 g total mass of pure H_(2)SO_(4) will be formed when 100 g of oleum is diluted by 9 g of H_(2)O which combines with all the free SO_(3) present in oleum to form H_(2)SO_(4) as SO_(3)+H_(2)O to H_(2)SO_(4) What is the % of free SO_(3) in an oleum that is labelled as 104.5% H_(2)SO_(4) ?

The percentage labelling (mixture of H_(2)SO_(4) and SO_(3)) refers to the total mass of pure H_(2)SO_(4) . The total amount of H_(2)SO_(4) found after adding calculated amount of water to 100 g oleum is the percentage labelling of oleum. Higher the percentage lebeling of oleum higher is the amount of free SO_(3) in the oleum sample. What is the amount of free SO_(3) in an oleum sample labelled as '118%'.