Chemical Engineering
GATE CH topic:process-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.
Question 31
Open questionCHNAT1 markNeeds review
Consider a homogeneous gas phase reaction, A + 2B → 2C + 3D, occuring at constant temperature and pressure in a varying volume batch reactor. The vessel is initially charged with 50 moles of A and 150 moles of B. The gases behave ideally. For complete conversion of A, the ratio of the final volume to the initial volume is _____ (rounded off to one decimal place).
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Water is discharged from vertical side of a tank through a circular orifice of diameter 2 cm under laminar flow conditions. The water surface in the tank is maintained at constant level above the center of the orifice. If the fluid jet has a diameter of 1.6 cm at its vena contracta, then the coefficient of contraction is _____________ (rounded off to two decimal places).
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Consider a non-reactive binary mixture of two ideal gases A and B in an isothermal horizontal closed tube. Due to the concentration difference at the two ends of the tube, equimolar counterdiffusion occurs along the axial direction. No concentration gradients exist in the radial direction. The profile for partial pressure of component A (
) as a function of axial distance
is shown in the figure. The partial pressure of component B (
) approaches zero at z = 0.8 m. At a location z = z₁ the partial pressures of the components A and B are equal. The value of z₁ (in m) is _____ (rounded off to two decimal places). 
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Open questionCHNAT1 markNeeds review
An experiment is performed by rolling an unbiased die once. Events A and B are defined as follows:
Event A: The outcome of the rolled die is a prime number.
Event B: The outcome of the rolled die is an odd number less than 4.
The conditional probability of A given B, denoted by P (A|B), is ______ (rounded off to one decimal place).
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Using single step trapezoid rule, the value of
is ______ (rounded off to two decimal places).Log in to check the answer
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Open questionCHMCQ2 marksNeeds review
K value is defined as the ratio of mole fraction of a component in the vapor phase to that in the liquid phase. The K values of propane and iso-butane at 293 K are given in the table.
Pressure (kPa) | Propane | iso-Butane |
|---|---|---|
1100 | 1.8 | 0.85 |
1200 | 1.6 | 0.75 |
1300 | 1.4 | 0.65 |
1400 | 1.25 | 0.5 |
1500 | 1.1 | 0.45 |
Which one of the following is closest to the bubble point pressure (in kPa) of an equimolar mixture of propane and iso-butane at 293 K?
Your answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
Consider a flow with the following velocity field
where
,
and
are the unit vectors in the x, y and z directions, respectively. Which one of the following is CORRECT?Your answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
Vapor pressure of water at various temperature is given in the table.
Temperature (in K) | 284 | 289 | 294 | 299 | 310 |
|---|---|---|---|---|---|
Vapor pressure of water (in kPa) | 1.28 | 1.80 | 2.50 | 3.40 | 6.40 |
An air and water vapor mixture at 100 kPa with a relative humidity of 20% has a dry-bulb temperature of 310 K. Assume latent heat of vaporization for water is 44 kJ mol
and specific heat capacity of the air and water vapor mixture is 0.035 kJ mol
K
. Which one of the following is the closest to its wet-bulb temperature (in K)?Your answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
A volatile organic compound (VOC) is to be adsorbed from air onto a bed of activated carbon. The equilibrium capacity of activated carbon at the feed conditions is 0.4 grams VOC per gram of activated carbon. The column contains 4 grams of activated carbon per cm
of cross-section. The feed rate into the adsorber column is 0.2 grams VOC cm
h
. Breakthrough time is defined as the time at which the concentration at the exit of the bed (
) reaches a value of
, where
is the concentration of VOC in the feed. The breakthrough time for the bed is 2 h. The area under the
curve between the initial and breakthrough times is 0.1 h. Which one of the following is the fraction of unused bed at breakthrough?Your answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
Consider the following complex numbers
where
are real numbers,
,
, and
If
, which one of the following conditions is necessarily CORRECT?Your answerChoose one option.
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