1. Convert Units
* Temperature (T): Convert Celsius to Kelvin:
T (K) = T (°C) + 273.15
T (K) = -10 °C + 273.15 = 263.15 K
2. Ideal Gas Law
The ideal gas law is:
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)
3. Solve for n (number of moles)
Rearrange the ideal gas law to solve for n:
n = PV / RT
4. Plug in the Values
n = (3 atm * 100.0 L) / (0.0821 L·atm/mol·K * 263.15 K)
5. Calculate
n ≈ 13.9 moles
Therefore, approximately 13.9 moles of gas are present under these conditions.
