What weight of Chlorine gas will occupy the same volume at 10.0 degrees Celsius as that occupied by 6.4 g of SO2 gas at 40.0 degrees Celsius, if the pressure of the two gases is the same?

FYI- You are supposed to use the Ideal Gas Law and I know that 10 degrees Celsius is 283 Kelvin and 40.0 degrees Celsius(313K)

PV=kT, so V/T = k/P and is constant if P is constant. So, you want V such that

V/283 = V'/313
So, what is V'? 6.4g of SO2 is 0.1 moles, and will occupy 2.24L
V/283 = 2.24/313
Now, having V, you can see that you will have V/22.4 moles of Cl2, and each mole has a mass of 70.9 grams