Time Allowed: Three
Hours Maximum Marks: 200
Candidates should attempt Questions 1 and 5 which are
compulsory, and any THREE of the remaining questions selecting at least ONE
question from each Section. Assume suitable data, if considered necessary, and
indicate the same clearly.
SECTION A
1.
Answer any four of the following:
(a)
The normal boiling point of benzene (C₆H₆) is
80.1 °C and its latent heat of vaporization at 45°C.
(b)
Prove that two reversible, adiabatic lines
cannot intersect.
(c)
Prove that
(əC / əv)
̞ = T (ə²P / ə T²) ᵥ
(d)
For an ideal batch reactor , derive and
expression to determine the time required to achieve a desired conversion
(e)
Compare the size of plug flow and mixed flow
reactors, for first and second order reactions.
2.
Ethane (C₂H₆) is initially mixed with oxygen to
obtain a mixture of 80% ethane by volume. This mixture is burned in an engine
with 200% excess air. During combustion 80% of ethane burns to CO₂; 10% of
ethane burns to CO and 10 % of ethane remains unburned. Determine the
composition of the exhaust gas on dry basis.
3.
(a) For a particulate binary system the activity
coefficients are adequately represented by in γ₁ = 0.5 X ²₂ and in γ₂ = 0.5 X
²₁ the saturated pressures of the components at 80°C are P ₁̾ = 600 torr (1
torr =1 mm Hg column). Is it possible for the system to exhibit azeotropy at
80°C? If so, what is the azeotropic composition?
(b) Show that for a van der Waals gas C ᵥ
is a function of temperature only.
4.
Consider the
reaction
{R (Desired Product)}
A + B =
----- { S (Unwanted Product)
}
With the rate equations
dCᵣ / dt = 1.0 C ¹ ͘⁵
C b ⁰ ̇³ mol / liter min
dC s / dt = 1.0 Ca
⁰ ̇ ⁵
Cb ¹ ̇ ⁸ mol / liter min
Equal volumetric flow rates of A and B streams are fed to
the reactor and each stram has a concentration of 20 mol/ liter of reactant.
For 90% conversion of A, calculate the concentration of R in the product stream
for---
(a)
A plug flow reactor ;
(b)
A mixed flow reactor.
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