Silicon tetrachloride (SiCl4\text{SiCl}_4SiCl4) is produced by reacting silicon dioxide (SiO2\text{SiO}_2SiO2) with chlorine gas and carbon according to the equation:
[SiO2+2Cl2+2C→SiCl4+2CO [\text{SiO}_2 + 2\text{Cl}_2 + 2\text{C} \rightarrow \text{SiCl}_4 + 2\text{CO} [SiO2+2Cl2+2C→SiCl4+2CO]
Calculate the volume of chlorine gas needed to react completely with 120 kg120\text{ kg}120 kg of silicon dioxide. (Relative atomic masses (ArA_rAr): O=16\text{O} = 16O=16, Si=28\text{Si} = 28Si=28; the volume of one mole of gas is 24 dm324\text{ dm}^324 dm3.)