Question:medium

An elixir contains 47 % v/v alcohol, what is the proof spirit according to USP:

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In USP, proof is calculated as twice the percentage of alcohol by volume. Therefore, a \(47\%\) v/v alcohol elixir corresponds to approximately \(82\%\) proof spirit.

Updated On: Oct 29, 2026
  • 70%
     

  • 82%
     

  • 63%
     

  • 91%
     

Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Recall the USP proof spirit relation.
Under the USP system, 100 degree proof spirit is defined as spirit containing 57.1% alcohol by volume. Any other alcohol strength is converted to a percentage of this proof strength using:
\[ \%\ \text{Proof Spirit} = \frac{\%\ v/v\ \text{alcohol} \times 100}{57.1} \]

Step 2: Substitute the given alcohol strength.
The elixir contains \( 47\% \) v/v alcohol, so:
\[ \%\ \text{Proof Spirit} = \frac{47 \times 100}{57.1} \]

Step 3: Calculate the value.
\[ \%\ \text{Proof Spirit} = \frac{4700}{57.1} \approx 82.3\% \]
This rounds to 82%, which is the closest listed option.

Step 4: Final Answer.
\[ \boxed{82\%} \]
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