Question #167070

Chlorine can be prepared in the laboratory by the reaction of manganese dioxide with hydrochloric acid, HCl(aq), as described by the chemical equation MnO2(s)+4HCl(aq)⟶MnCl(aq)+2H2O(l)+Cl2(g)

How much MnO2(s) should be added to excess HCl(aq)to obtain 185 mL Cl2(g)at 25 °C and 795 Torr?
















1
Expert's answer
2021-03-01T02:34:47-0500

We first find the number of moles of Cl2Cl_2 to be obtained.

PV=nRTPV=nRT

P=P= 795Tore×1atm760Torr795Tore\times 1atm\over760 Torr =1.046Torr=1.046Torr

V=0.185LV=0.185L

n=xn=x MolMol

R=0.0821Latm/Kmol(Constant)R=0.0821Latm/Kmol(Constant)

T=298KT=298K

n=n= moles=moles= PVRTPV\over RT == (1.046)(0.185)(0.0821)(298)(1.046)(0.185)\over (0.0821)(298) =0.00791molesCl2=0.00791moles Cl_2

Moles and grams of MnO2MnO_2 needed from the stoichometry equation are;

0.00791molCl20.00791mol Cl_2 ×\times 1molMnO21molCl21mol MnO_2\over 1mol Cl_2 =0.687gMnO2=0.687gMnO_2

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