Math Problem Statement

How many moles are in 5.3 grams of phosphorus?

Solution

To determine how many moles are in 5.3 grams of phosphorus, follow these steps:

Step 1: Write the molar mass of phosphorus

Phosphorus (P) has a molar mass of approximately 30.97 g/mol.

Step 2: Use the formula for moles

The formula to calculate moles is:
Moles=Mass (g)Molar Mass (g/mol)\text{Moles} = \frac{\text{Mass (g)}}{\text{Molar Mass (g/mol)}}

Step 3: Substitute the values

Moles=5.3g30.97g/mol\text{Moles} = \frac{5.3 \, \text{g}}{30.97 \, \text{g/mol}}

Step 4: Perform the calculation

Moles0.171mol\text{Moles} \approx 0.171 \, \text{mol}

Final Answer:

There are approximately 0.171 moles of phosphorus in 5.3 grams.


Would you like me to explain any steps in more detail or show unit conversions?

Here are 5 related questions you might find useful:

  1. How many grams are in 2.5 moles of phosphorus?
  2. What is the molar mass of phosphorus pentoxide (P4_4O10_10)?
  3. How do you calculate the number of molecules from moles?
  4. How many moles are in 10 grams of oxygen gas (O2_2)?
  5. What is the mass of 0.5 moles of sulfur?

Tip: Always ensure units cancel correctly when performing mole-to-mass or mass-to-mole conversions.

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Math Problem Analysis

Mathematical Concepts

Stoichiometry
Mole Concept

Formulas

Moles = Mass (g) / Molar Mass (g/mol)

Theorems

Law of Conservation of Mass (underlying stoichiometric calculations)

Suitable Grade Level

Grades 9-12