Understanding the Concepts
* STP (Standard Temperature and Pressure): STP is defined as 0°C (273.15 K) and 1 atm pressure.
* Ideal Gas Law: The ideal gas law relates pressure (P), volume (V), temperature (T), and the number of moles (n) of a gas: PV = nRT
* R is the ideal gas constant, which is 0.0821 L·atm/mol·K
Calculations
1. Identify the knowns:
* V = 444 L
* T = 273.15 K
* P = 1 atm
* R = 0.0821 L·atm/mol·K
2. Solve for n (number of moles):
* n = PV / RT
* n = (1 atm * 444 L) / (0.0821 L·atm/mol·K * 273.15 K)
* n ≈ 19.8 moles
Therefore, approximately 19.8 moles of sulfur dioxide gas occupy a volume of 444 liters at STP.