Understanding STP
STP stands for Standard Temperature and Pressure. It's defined as:
* Temperature: 0°C (273.15 K)
* Pressure: 1 atmosphere (atm)
The Ideal Gas Law
The ideal gas law is a fundamental equation that relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas:
PV = nRT
Where:
* R is the ideal gas constant (0.0821 L·atm/mol·K)
Solving for Volume
1. Rearrange the ideal gas law: V = (nRT) / P
2. Plug in the values:
* n = 3.5 mol
* R = 0.0821 L·atm/mol·K
* T = 273.15 K
* P = 1 atm
3. Calculate: V = (3.5 mol * 0.0821 L·atm/mol·K * 273.15 K) / 1 atm
V ≈ 78.4 L
Therefore, the volume of 3.5 moles of CO2 gas at STP is approximately 78.4 liters.
