Concept:Avogadro's Law states that equal volumes of all ideal gases at the same temperature and pressure contain the same number of molecules. Specifically, one mole of any ideal gas occupies a fixed molar volume at Standard Temperature and Pressure (STP).
Formula:$$ V_m = 22.414 \text{ dm}^3 \text{ mol}^{-1} $$
Solution:- Standard Temperature and Pressure (STP) refers to \( 0^\circ\text{C} \) (273.15 K) and \( 1 \text{ atm} \) pressure.
- At these exact conditions, one mole of an ideal gas occupies exactly \( 22.414 \text{ dm}^3 \) (or \( 22,414 \text{ cm}^3 \)).
Why other options are incorrect:- \( 23.414 \text{ dm}^3 \): Incorrect numerical value.
- \( 22.414 \text{ cm}^3 \): The numerical value is right, but the unit is wrong (it should be \( \text{dm}^3 \), not \( \text{cm}^3 \)).
- \( 20.414 \text{ dm}^3 \): Incorrect numerical value.
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