Which of the following percentage strength is not possible for a sample of oleum? (a) \(104 \%\) (b) \(109 \%\) (c) \(118 \%\) (d) \(127 \%\)

Short Answer

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a) 104% b) 109% c) 118% d) 127% Answer: All of the given options are possible for a sample of oleum, as they all have percentage strengths greater than 100%.

Step by step solution

01

Understanding the percentage strength of Oleum

In an oleum sample, it is given as H2SO4.xSO3, which means that the mixture has x g of SO3 mixed with x g of H2SO4. The percentage strength of oleum is calculated based on the percentage of H2SO4 that would be formed if all the sulfur trioxide (SO3) present in the mixture would combine with water. Since SO3 reacts with water to form H2SO4, when it combines with water, it would form oleum with a 100% H2SO4. Hence, any percentage strength of the oleum sample must always be greater than 100%. Now let's analyze the given options using this concept.
02

Option (a): 104%

The percentage strength of oleum is 104%. Since it is greater than 100%, this means that the oleum sample contains sufficient sulfur trioxide (SO3) to form a 104% H2SO4. So, this option is possible.
03

Option (b): 109%

The percentage strength of oleum is 109%. Since it is greater than 100%, this means that the oleum sample contains sufficient sulfur trioxide (SO3) to form a 109% H2SO4. So, this option is also possible.
04

Option (c): 118%

The percentage strength of oleum is 118%. Since it is greater than 100%, this means that the oleum sample contains sufficient sulfur trioxide (SO3) to form a 118% H2SO4. So, this option is also possible.
05

Option (d): 127%

For this option, the percentage strength of oleum is 127%, which is greater than 100%. This means that the sample of oleum contains a sufficient amount of sulfur trioxide (SO3) to form a 127% H2SO4. Therefore, this option is also possible. Based on the analysis, all the given options (a), (b), (c), and (d) have percentage strengths greater than 100%. Therefore, none of the given options is impossible for a sample of oleum.

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