One Way of Obtaining Pure Sodium Carbonate Is Through the Decomposition

question 122

Multiple Choice

One way of obtaining pure sodium carbonate is through the decomposition of the mineral trona, Na ₃(CO₃) (HCO₃) $\times$ 2H₂O, as shown in the following reaction: 2Na₃(CO₃) (HCO₃) $\rarr$ 2H₂O(s) $\rarr$ 3Na₂CO₃(s) + CO₂(g) + 5H₂O(g)
When 15 metric tons (1 * 10³ kg) of trona is decomposed, 11 metric tons of Na₂CO₃ is recovered. What is the percent yield of this reaction?
(1 metric ton = 10³ kg)

• A) 13%
• B) 42%
• C) 65%
• D) 73%
• E) 95%

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Definitions:

Standard Error

A measure of the dispersion of sample mean estimates from the population mean.

True Proportion

The actual proportion of a particular outcome within the entire population.

Confidence Interval

An estimated range of values calculated from a given set of sample data, intended to offer a degree of certainty that a population parameter lies within it.

Simple Random Sample

A smaller group taken from a larger statistical group where each individual has the same chance of selection.