How many cm3 of radon (Rn) gas are produced if a scientist produced 14.79 g of radon gas in his experiment (at STP)?

Useful conversion factors: 1 mole Rn = 222 g Rn  

                                             1 mole Rn = 22.4 L Rn

To find how many cubic centimeters (cm³) of radon gas are produced, let's follow these steps:

### Step 1: Calculate moles of Radon (Rn)
The given mass of radon is 14.79 g. Using the molar mass of radon (222 g/mol), we can find the number of moles of radon:

\[
\text{Moles of Rn} = \frac{14.79 \, \text{g}}{222 \, \text{g/mol}} = 0.06663 \, \text{mol}
\]

### Step 2: Convert moles of Radon to volume (in liters)
At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters. Using this fact, we can convert the moles of radon to liters of radon gas:

\[
\text{Volume of Rn in liters} = 0.06663 \, \text{mol} \times 22.4 \, \text{L/mol} = 1.4914 \, \text{L}
\]

### Step 3: Convert liters to cubic centimeters (cm³)
Since 1 liter is equivalent to 1000 cm³, we convert the volume from liters to cm³:

\[
\text{Volume of Rn in cm³} = 1.4914 \, \text{L} \times 1000 \, \text{cm³/L} = 1491.4 \, \text{cm³}
\]

Thus, **1491.4 cm³ of radon gas** is produced in the experiment.

Would you like further clarification or more details?

Here are five related questions:
1. How does STP (standard temperature and pressure) affect gas volume calculations?
2. What is the ideal gas law and how could it apply to gases under non-STP conditions?
3. How do you calculate the volume of a gas if it's not at STP?
4. Why is molar volume at STP the same for all gases?
5. What are the safety precautions when working with radon gas?

**Tip:** Always remember to verify whether the conditions are at STP before applying gas laws!

How many cm3 of radon (Rn) gas are produced if a scientist produced 14.79 g of radon gas in his experiment (at STP)?

Discover how to calculate the volume of radon gas produced from 14.79 g at STP using stoichiometry, gas laws, and unit conversion. This problem demonstrates how to find moles, convert liters to cubic centimeters, and apply Avogadro's law, suitable for Grades 10-12.

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