1. The Ideal Gas Law
The ideal gas law is represented by the equation:
PV = nRT
Where:
* P = Pressure (in atmospheres)
* V = Volume (in liters)
* n = Number of moles
* R = Ideal gas constant (0.0821 L·atm/mol·K)
* T = Temperature (in Kelvin)
2. Rearrange the Equation
We want to solve for 'n' (number of moles), so we rearrange the equation:
n = PV / RT
3. Plug in the Values
* P = 3.89 atm
* V = 1.3 L
* R = 0.0821 L·atm/mol·K
* T = 323 K
4. Calculate
n = (3.89 atm * 1.3 L) / (0.0821 L·atm/mol·K * 323 K)
n ≈ 0.195 moles
Therefore, approximately 0.195 moles of gas occupy 1.3 L at a pressure of 3.89 atmospheres and a temperature of 323 K.
