In this questions Pressure P = 1 atm, Temperature T = 546 K, Volume V = 11.2 L are given , we are asked to find out $ of moles.
We have to calculate the volume of the given moles of gas at specific temperature and pressure.
Using Ideal Gas equation;
PV = nRT
n = RT /PV ( R = gas constant = 0.08206 L atm
V= 0.08206 L atm
V= 44.80 L atm