1. Understand STP
STP stands for Standard Temperature and Pressure. At STP:
* Temperature (T): 0°C (273.15 K)
* Pressure (P): 1 atm
2. Use the Ideal Gas Law
The ideal gas law is a fundamental equation that relates the pressure, volume, temperature, and number of moles of an ideal gas:
PV = nRT
Where:
* P = Pressure (in atm)
* V = Volume (in liters)
* n = Number of moles
* R = Ideal gas constant (0.0821 L⋅atm/mol⋅K)
* T = Temperature (in Kelvin)
3. Solve for n (number of moles)
Rearrange the ideal gas law to solve for n:
n = PV / RT
4. Plug in the values
* P = 1 atm
* V = 10.0 L
* R = 0.0821 L⋅atm/mol⋅K
* T = 273.15 K
n = (1 atm * 10.0 L) / (0.0821 L⋅atm/mol⋅K * 273.15 K)
n ≈ 0.446 moles
Therefore, there are approximately 0.446 moles of nitrogen gas present in 10.0 L at STP.
