Question #5954a

1 Answer
Jan 16, 2018

It depends on the temparature and pressure.

Explanation:

First, find the amount of substance(mol) of the gas.

If the temparature and pressure are at STP(#0#℃, #10^5# Pa), the molar volume of ideal gas is #V_m=22.711# L/mol.
When the temparature is #0#℃ and the pressure is #1# atm(#1.01325xx10^5# Pa), the molar volume is #V_m=22.414# L/mol.

Then, the amount of substance is #n=V/V_m# where #V# is the volume(in this question, #V=5000# L).

Otherwise, you should use the ideal gas law.
#pV=nRT#, where:
#p#: pressure (Pa)
#V#: volume (#m^3#)
#n#: amount of substance(mol)
#R#: gas constant (#=8.3145 m^3 Pa K^-1 mol^-1#)
#T#: temparature (K).

Once you find the amount of substance, multiply it by the molar mass of chlorine molecule (#Cl_2=70.906# g/mol).

For example, the amount of substance of #5000# L #Cl_2# at STP is #n=5000/22.711= 220.16# moles, and its mass is #220.16*70.906=15610.6… = 1.561xx10^4# grams.