248 gm mixture containing Li2CO3 & CaCO3 on strong heating produces CO2(g), which exerts 3 atm pressure in a container of volume
24 L at temperature 27° C. The simplest mole ratio of Li2CO3 and CaCo3 in the mixture is x: 1. The value of x'is: [Given that R=0.08
L-atm/k-mole] [Atomic weight of Li = 7, Ca = 40]
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Answer:
CaCO
3
(s)⇌CaO(s)+CO
2
(g)
K
p
=p
CO
2
=3.9×10
−2
atm
Let the number of moles of CO
2
formed =n
n=
RT
p
CO
2
×V
=
0.082Latm/mol/K×1000K
3.9×10
−2
atm×0.654L
=3.11×10
−4
mol
The amount of CaO(s) formed will also be 3.11×10
−4
mol
The molecular weight of CaO=56g/mol
Hence, the mass of CaO formed =3.11×10
−4
mol×56g/mol=0.0174g
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