Answer:
The volume of H₂ times two
Step-by-step explanation:
The reaction that takes place is:
Under the assumption that the gases behave ideally, then the moles of H₂ and Cl₂ are the same, because they have the same volume, temperature and pressure.
We can use the formula PV=nRT to solve this problem. For now let's say the temperature is 293 K, the volume is 1 L and the pressure is 1 atm. The values themselves are not important, just the fact that T and P remain constant is.
- Using PV=nRT we calculate the moles of H₂
1 atm * 1 L = xmol * 0.082 atm·L·mol⁻¹·K⁻¹ * 293 K
xmol= 0.0416 mol
- From the reaction we know that the moles of HCl produced are double the moles of H₂, so the moles of HCl are 0.0416 * 2 = 0.0832 mol.
Finally we calculate the volume of HCl using PV=nRT:
1 atm * xL = 0.0832 mol * 0.082 atm·L·mol⁻¹·K⁻¹ * 293 K
xL = 2 L
So the volume of HCl is the volume of H₂ times two.