the average speed of helium at 25°c is 1255 m/s. convert this speed to miles per hour (mph).

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Significant Figures" ], "new_concepts": [ "Dimensional Analysis", "Unit Conversion" ], "current_concepts": [ "Significant Figures", "Dimensional Analysis", "Unit Conversion" ] } ## Identify conversion factors $$ \begin{aligned} &1\text{ mile} = 1609.344\text{ m}\ &1\text{ hour} = 3600\text{ s} \end{aligned} $$ ## Set up dimensional analysis $$ \begin{aligned} v &= 1255\text{ m/s} \times \frac{1\text{ mile}}{1609.344\text{ m}} \times \frac{3600\text{ s}}{1\text{ hour}}\ v &= 1255 \times \frac{3600}{1609.344}\text{ mph} \end{aligned} $$ ## Calculate and apply significant figures $$ \begin{aligned} v &\approx 2807.35\text{ mph}\ v &\approx 2807\text{ mph} \end{aligned} $$ The average speed of helium at $25^\circ\text{C}$ is $1255\text{ m/s}$. Convert this speed to miles per hour (mph). 2807 { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Chemistry", "Dimensional Analysis" ] }

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Explanation:

Identify conversion factors

Set up dimensional analysis

Calculate and apply significant figures

Answer: