Math Problem Statement

A 10kg bottle of LPG gas should yield 29.9kg of CO2. Only 27.3kg of CO2 were produced. What is the percentage yield?

Solution

To solve this problem, let’s analyze the information provided and calculate the percentage yield.

**Given dataTo solve this problem, let’s analyze the information provided and calculate the percentage yield.

**Given **

  • The theoretical yield (the amount of CO2CO_2 expected to be produced if the reaction went perfectly) is 29.9kg29.9 \, \text{kg}.
  • The actual yield (the amount of CO2CO_2 actually produced) is 27.3kg27.3 \, \text{kg}.

Formula for percentage yield:

Percentage yield=(Actual yieldTheoretical yield)×100\text{Percentage yield} = \left( \frac{\text{Actual yield}}{\text{Theoretical yield}} \right) \times 100

Substitute the values:

Percentage yield=(27.329.9)×100\text{Percentage yield} = \left( \frac{27.3}{29.9} \right) \times 100

Calculating this:

Percentage yield=(0.9130)×100=91.30%\text{Percentage yield} = \left( 0.9130 \right) \times 100 = 91.30\%

Answer: The percentage yield is approximately 91.3%91.3\%.

Would you like a deeper explanation on any steps or additional questions? Here are some related questions to consider:

  1. How would the yield calculation change if only partial data was provided?
  2. What factors can lead to a yield being less than 100% in real reactions?
  3. How is theoretical yield determined in practice, especially in complex reactions?
  4. Why is percentage yield important in industrial and chemical processes?
  5. Could other forms of yield (like atom economy) be useful in this context?

Tip: To improve yield in experiments, it’s important to optimize reaction conditions, minimize product loss, and control side reactions.

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Math Problem Analysis

Mathematical Concepts

Percentage Yield
Ratios

Formulas

Percentage yield = (Actual yield / Theoretical yield) * 100

Theorems

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Suitable Grade Level

Grades 9-12