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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 $mol^-1$$K^-1$ )

V= 0.08206 L atm $mol^-1$$K^-1$ x 546 K / 1atm x 11.2 L

V= 44.80 L atm $mol^-1$$K^-1$ K / 11.2 L atm = 4.00 L