Chemical Engineering
GATE CH concept:equation-state PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:equation-state
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–4 of 4. Imported answers require independent review unless marked reviewed.
Question 57
Open questionCHNAT2 marksNeeds review
Ethylene obeys the truncated virial equation-of-state
where P is the pressure, V is the molar volume, T is the absolute temperature and B is the second virial coefficient. The universal gas constant
bar cm
mol
K
. At 340 K, the slope of the compressibility factor vs. pressure curve is
bar
. Let
denote the molar residual Gibbs free energy. At these conditions, the value of
, in cm
mol
, rounded off to 1 decimal place, is __________Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 21
Open questionCHNAT1 markNeeds review
The van der Waals equation of state is given by
where
,
and
represent reduced pressure, reduced temperature and reduced molar volume, respectively. The compressibility factor at critical point (
) is 3/8.If
and
, then the compressibility factor based on the van der Waals equation of state is __________ (round off to 2 decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionCHMCQ2 marksNeeds review
A pure gas obeys the equation of state given by
where
is the pressure,
is the absolute temperature,
is the molar volume of the gas,
is the universal gas constant, and
is a parameter independent of
and
. The residual molar Gibbs energy,
, of the gas is given by the relation
where
is the compressibility factor and the integral is evaluated at constant
. If the value of
is
, the residual molar enthalpy (in J mol
) of the gas at 100 kPa and 300 K isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionCHNAT2 marksNeeds review
In a closed piston-cylinder system, methane was observed to obey the following equation of state
where
m³/mol. The temperature and volume are 500 °C and 5 m³ respectively for 100 moles of methane. At this state of the system, the isobaric rate of change of temperature with volume (in °C/m³) is __________ (rounded off to second decimal place).Log in to check the answer
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