Answer:
0.5 mol of sulfur dioxide occupies approximately 11.18875 liters of volume at STP.
Step-by-step explanation:
To calculate the volume occupied by 0.5 mol of sulfur dioxide (SO₂) at STP (Standard Temperature and Pressure), we can use the ideal gas law equation:
PV = nRT
Where:
- P is the pressure (at STP, it is 1 atm)
- V is the volume
- n is the number of moles
- R is the ideal gas constant (0.0821 L·atm/(mol·K))
- T is the temperature in Kelvin (at STP, it is 273 K)
Given that we have 0.5 mol of SO₂, we can substitute the values into the equation and solve for V:
(1 atm) * V = (0.5 mol) * (0.0821 L·atm/(mol·K)) * (273 K)
Simplifying the equation:
V = (0.5 mol) * (0.0821 L·atm/(mol·K)) * (273 K) / (1 atm)
V = 11.18875 L
Therefore, 0.5 mol of sulfur dioxide occupies approximately 11.18875 liters of volume at STP.