What volume of O2 at 912 mmHg and 33 degrees C is required to synthesize 11.0 mol of NO?

To find the volume of O2 gas required to synthesize 11.0 mol of NO, we can use the ideal gas law equation,

PV = nRT

Where:
P = pressure of the gas (in this case, 912 mmHg)
V = volume of the gas (what we are trying to find)
n = number of moles of gas (in this case, the number of moles of O2)
R = ideal gas constant (0.0821 L·atm/mol·K)
T = temperature in Kelvin (in this case, 33 degrees C = 33 + 273 = 306 K)

First, convert the pressure from mmHg to atm:
912 mmHg * (1 atm / 760 mmHg) = 1.2 atm

Now we have all the necessary values to solve for the volume (V). Rearranging the ideal gas law equation:

V = (nRT) / P

Substituting the values into the equation:

V = (11.0 mol * 0.0821 L·atm/mol·K * 306 K) / 1.2 atm

Calculating this expression will give you the volume of O2 gas required in liters.