The unknown gas stored in a 395 L container at a temperature of 1110 K exerts a pressure of approximately 5251.365 atm, based on the ideal gas law equation PV = nRT.
To find the pressure exerted by the unknown gas, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
Given:
Number of moles (n) = 215.0 mol
Temperature (T) = 1110 K
Volume (V) = 395 L
Gas constant (R) = 0.0821 L·atm/(mol·K)
Substituting the given values into the ideal gas law equation:
P * 395 L = 215.0 mol * 0.0821 L·atm/(mol·K) * 1110 K
Simplifying:
P = (215.0 mol * 0.0821 L·atm/(mol·K) * 1110 K) / 395 L
P = 5251.365 atm
Therefore, the pressure exerted by the unknown gas is approximately 5251.365 atm.