Mole Concept and Some Basic Concepts of ChemistryhardNUMERICAL

Evaluate the mathematical expression and report the exact number of significant figures the final anMole Concept and Some Basic Concepts of Chemistry Chemistry Question

Question

Evaluate the mathematical expression $\frac{(12.42 - 12.10) \times 4.15}{0.0050}$ and report the exact number of significant figures the final answer must contain according to strict error propagation rules.

Answer: 2

💡 Solution & Explanation

Step 1: Subtraction in the numerator: $12.42 - 12.10 = 0.32$. The result $0.32$ is limited to two decimal places (addition/subtraction rule) and has 2 significant figures. Step 2: Multiplication/division: $(0.32 \times 4.15) / 0.0050$. Here, $0.32$ has 2 sig figs, $4.15$ has 3 sig figs, and $0.0050$ has 2 sig figs. The multiplication/division rule dictates the final answer must have the lowest number of sig figs among the inputs, which is 2.

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