PV = nRT
Where:
* P is the pressure (in atmospheres, atm)
* V is the volume (in liters, L)
* n is the number of moles
* R is the ideal gas constant (0.0821 L·atm/mol·K)
* T is the temperature (in Kelvin, K)
1. Rearrange the equation to solve for pressure (P):
P = nRT / V
2. Plug in the given values:
* n = 0.683 mol
* R = 0.0821 L·atm/mol·K
* T = 326 K
* V = 20.1 L
3. Calculate the pressure:
P = (0.683 mol * 0.0821 L·atm/mol·K * 326 K) / 20.1 L
P ≈ 0.919 atm
Therefore, the pressure in the cylinder is approximately 0.919 atm.