Consider the gas phase reaction 2 C(g) = A(g) + B(g) . Experiments show that at pressure 1.0 atm and temperature T = 450 K (Pc/p®)² (Pa/pº) (PB/p°) Кр 1.32 x 10-3 . Notice that at such low pressure the equilibrium gas mixture behaves as an ideal gas mixture. a) What is the value of the equilibrium constant K(T) at the indicated T and p? b) What is the degree of dissociation a number of moles of C dissociated at equilibrium a = initial number of moles C at the indicated T and p when the reaction is started with n moles of C in the absence of the products? Hint: Please notice that a reasonable first step when solving for x an equation of the form A f(x) /g(x)² , (where A is a positive constant and f(x) and g(x) polynomials in x) is to take the square root on both sides of the equation to get the simpler resuly A = f(x)/g(x), and proceed from there.

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Consider the gas phase reaction
2 C(g) = A(g) + B(g) .
Experiments show that at pressure p
1.0 atm and temperature T = 450 K
(pc/p°)?
(PA/pP) (PB/p°)
Kp
1.32 x 10-3 .
Notice that at such low pressure the equilibrium gas mixture behaves as an ideal gas
mixture.
a) What is the value of the equilibrium constant K(T) at the indicated T and p?
b) What is the degree of dissociation a
number of moles of C dissociated at equilibrium
a =
initial number of moles C
at the indicated T and p when the reaction is started with n moles of C in the
absence of the products?
Hint: Please notice that a reasonable first step when solving for x an equation
of the form
A = f(x)*/g(x)² ,
(where A is a positive constant and f(x) and g(x) polynomials in x) is to take
the square root on both sides of the equation to get the simpler resuly VA =
f(x)/g(x), and proceed from there.
Transcribed Image Text:Consider the gas phase reaction 2 C(g) = A(g) + B(g) . Experiments show that at pressure p 1.0 atm and temperature T = 450 K (pc/p°)? (PA/pP) (PB/p°) Kp 1.32 x 10-3 . Notice that at such low pressure the equilibrium gas mixture behaves as an ideal gas mixture. a) What is the value of the equilibrium constant K(T) at the indicated T and p? b) What is the degree of dissociation a number of moles of C dissociated at equilibrium a = initial number of moles C at the indicated T and p when the reaction is started with n moles of C in the absence of the products? Hint: Please notice that a reasonable first step when solving for x an equation of the form A = f(x)*/g(x)² , (where A is a positive constant and f(x) and g(x) polynomials in x) is to take the square root on both sides of the equation to get the simpler resuly VA = f(x)/g(x), and proceed from there.
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