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GATE Chemical Engineering Exam (Only MCQ) - English

Duration: 180 ยท Questions: 60 ยท Max Marks: 60 ยท Language: 1

View GATE Chemical Engineering 2027 Exam Page

General Aptitude

1
Inhaling the smoke from a burning _____ could _____ you quickly.
  1. A.tire/tier
  2. B.tire/tyre
  3. C.tyre/tire
  4. D.tyre/tier
2
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained availability of rice. Scientists are working on developing Green Super Rice (GSR), which is resilient under extreme weather conditions yet gives higher yields sustainably.
Which one of the following is the CORRECT logical inference based on the information given in the above passage ?
  1. A.GSR is an alternative to regular rice, but it grows only in an extreme weather
  2. B.GSR be used in future in response to adverse effects of climate change
  3. C.GSR grows in an extreme weather, but the quantity of produce is lesser than regular rice
  4. D.Regular rice will continue to provide good yields even in extreme weather
3
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is :
  1. A.15
  2. B.16
  3. C.18
  4. D.25
4
Pipes P and Q can fill a storage tank full of water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres) ? 
  1. A.26.8 
  2. B.60.0 
  3. C.120.0
  4. D.127.5
5
Choose the grammatically correct sentence?
  1. A.Neither of the robots are functioning properly
  2. B.Neither robots is functioning properly
  3. C.Neither of the robot are functioning properly
  4. D.Neither of the robots is functioning properly

Engineering Mathematics

1
Consider the following expression :
where z, y, and t are variables, and   is a complex number. The partial differential equation derived from the above expression is
    2
    For the equation
    the correct description is
    1. A.
      an ordinary differential equation of order 3 and degree 2 
    2. B.
      an ordinary differential equation of order 3 and degree 3 
    3. C.
      an ordinary differential equation of order 2 and degree 3 
    4. D.an ordinary differential equation of order 3 and degree รขโ‚ฌโ€น
    3
    The value of (1 + i)12, where รขโ‚ฌโ€น , is.
    1. A.
      – 64 i 
    2. B.
      64 i
    3. C.64 
    4. D.– 64
    4
    If (A=\begin{bmatrix}1&2\3&4\end{bmatrix}), what is (\det(A))?
    1. A.2
    2. B.(-2)
    3. C.5
    4. D.10
    5
    If (A) is a (3\times3) matrix with (\det(A)=5), what is (\det(2A))?
    1. A.10
    2. B.40
    3. C.20
    4. D.80

    Chemical Engineering

    1
    Which statement correctly describes a steady-state process?
    1. A.Process variables at fixed locations do not change with time
    2. B.Mass within the system continuously decreases
    3. C.Mass within the system continuously increases
    4. D.Process variables must be uniform throughout the system
    2
    What is the general mass-balance equation for a non-reacting system?
    1. A.Input + Output = Accumulation
    2. B.Input โˆ’ Output = Accumulation
    3. C.Input โˆ’ Accumulation = Generation
    4. D.Output โˆ’ Input = Consumption
    3
    For a steady-state non-reacting process, the overall mass balance reduces to which relation?
    1. A.Input + Output = Accumulation
    2. B.Input = Accumulation
    3. C.Output = Accumulation
    4. D.Input = Output
    4
    What is the accumulation term in a steady-state mass balance?
    1. A.Equal to the inlet flow rate
    2. B.Equal to the outlet flow rate
    3. C.Equal to the generation rate
    4. D.Equal to zero
    5
    Which balance is always valid for a chemical process when nuclear reactions are absent?
    1. A.Total mass balance
    2. B.Total mole balance
    3. C.Total volume balance
    4. D.Total concentration balance
    6
    Why may the total number of moles change during a chemical reaction?
    1. A.Stoichiometry can change the total number of molecular species
    2. B.Atomic masses change during reaction
    3. C.Total mass is destroyed during reaction
    4. D.Molecular volume must remain constant
    7
    A feed contains 30 kg of solute and 70 kg of solvent. What is the mass fraction of solute?
    1. A.0.20
    2. B.0.30
    3. C.0.40
    4. D.0.70
    8
    A solution contains 20 wt% NaCl. How much NaCl is present in 250 kg of solution?
    1. A.40 kg
    2. B.80 kg
    3. C.60 kg
    4. D.50 kg
    9
    A gas mixture contains 2 mol Nโ‚‚ and 8 mol Hโ‚‚. What is the mole fraction of Nโ‚‚?
    1. A.0.20
    2. B.0.10
    3. C.0.25
    4. D.0.80
    10
    What must the sum of all mass fractions in a mixture equal?
    1. A.1
    2. B.0.5
    3. C.0
    4. D.Molecular weight
    11
    What must the sum of all mole fractions in a mixture equal?
    1. A.0.1
    2. B.Total number of moles
    3. C.1
    4. D.Average molecular weight
    12
    What is the average molecular weight of a binary mixture containing mole fractions 0.5 of Nโ‚‚ and 0.5 of Oโ‚‚?
    1. A.28 kg/kmol
    2. B.30 kg/kmol
    3. C.29 kg/kmol
    4. D.32 kg/kmol
    13
    A stream contains 40 kmol/h methane and 60 kmol/h nitrogen. What is the methane mole fraction?
    1. A.0.30
    2. B.0.40
    3. C.0.50
    4. D.0.60
    14
    A 500 kg/h stream contains 10 wt% solids. What is the solids flow rate?
    1. A.25 kg/h
    2. B.50 kg/h
    3. C.40 kg/h
    4. D.100 kg/h
    15
    A 1000 kg/h feed containing 20 wt% water is dried until the product contains 10 wt% water. If dry solids are conserved, what is the product flow rate?
    1. A.888.9 kg/h
    2. B.800.0 kg/h
    3. C.900.0 kg/h
    4. D.1111.1 kg/h
    16
    In the previous drying problem, approximately how much water is removed?
    1. A.88.9 kg/h
    2. B.100.0 kg/h
    3. C.200.0 kg/h
    4. D.111.1 kg/h
    17
    A 100 kg/h solution containing 30 wt% solute is mixed with 200 kg/h solution containing 15 wt% solute. What is the solute flow rate in the mixed stream?
    1. A.45 kg/h
    2. B.50 kg/h
    3. C.60 kg/h
    4. D.75 kg/h
    18
    What is the solute mass fraction of the mixed stream in Question 17?
    1. A.0.20
    2. B.0.15
    3. C.0.25
    4. D.0.30
    19
    Which quantity is normally selected as a calculation basis in process calculations?
    1. A.An arbitrary convenient amount or flow of material
    2. B.The largest molecular weight in the system
    3. C.The smallest concentration in the process
    4. D.The atmospheric pressure of the process
    20
    Why is a calculation basis useful in material-balance problems?
    1. A.It eliminates chemical reactions
    2. B.It makes every process steady state
    3. C.It provides a definite reference quantity for calculations
    4. D.It eliminates unknown compositions
    21
    A stream is specified as 25 mol% COโ‚‚. On a basis of 100 mol, how many moles of COโ‚‚ are present?
    1. A.20 mol
    2. B.75 mol
    3. C.40 mol
    4. D.25 mol
    22
    A mixture contains 40 kg A and 60 kg B. What is the mass ratio A/B?
    1. A.0.40
    2. B.0.60
    3. C.1.50
    4. D.0.667
    23
    What is the mole fraction of B?
    1. A.0.65
    2. B.0.50
    3. C.0.35
    4. D.0.75
    24
    Which variable is an extensive property?
    1. A.Temperature
    2. B.Pressure
    3. C.Total mass
    4. D.Mass fraction
    25
    Which variable is an intensive property?
    1. A.Total moles
    2. B.Mole fraction
    3. C.Mass flow rate
    4. D.Total mass
    26
    A tank initially contains 100 kg liquid and receives 10 kg/min while discharging 6 kg/min. What is its mass accumulation rate?
    1. A.2 kg/min
    2. B.6 kg/min
    3. C.4 kg/min
    4. D.16 kg/min
    27
    How much liquid will be in the tank of Question 26 after 5 min if the flow rates remain constant?
    1. A.120 kg
    2. B.110 kg
    3. C.130 kg
    4. D.150 kg
    28
    A tank receives 8 kg/min and loses 12 kg/min. What is the net accumulation rate?
    1. A.โˆ’4 kg/min
    2. B.โˆ’2 kg/min
    3. C.4 kg/min
    4. D.20 kg/min
    29
    What characterizes an unsteady-state material balance?
    1. A.Accumulation is necessarily zero
    2. B.Chemical reactions cannot occur
    3. C.Inlet and outlet rates must be identical
    4. D.Process variables may change with time
    30
    Which mathematical form commonly represents accumulation in a transient tank?
    1. A.(M/t)
    2. B.(dM/dt)
    3. C.(M^2/t)
    4. D.(dt/dM)
    31
    A well-mixed tank contains mass M and solute mass fraction x. What is the solute mass in the tank?
    1. A.M/x
    2. B.Mx
    3. C.M(1โˆ’x)
    4. D.x/M
    32
    In a perfectly mixed tank, what is the composition of the outlet stream relative to the tank contents?
    1. A.It equals the tank composition
    2. B.It equals the feed composition
    3. C.It is always pure solvent
    4. D.It is always pure solute
    33
    A tank with constant liquid holdup receives and discharges liquid at the same mass flow rate. Which statement is correct?
    1. A.Total mass accumulation is zero
    2. B.Component accumulation must also be zero
    3. C.Outlet composition cannot change
    4. D.Feed composition must equal tank composition
    34
    Can a constant-volume mixing tank have a transient component balance?
    1. A.No, because constant volume requires steady state
    2. B.Yes, but only when chemical reaction occurs
    3. C.No, because inlet and outlet rates are equal
    4. D.Yes, because composition can change with time
    35
    Which expression represents the component balance for a non-reacting transient system?
    1. A.Component generation = component accumulation
    2. B.Component input + component output = component accumulation
    3. C.Component output โˆ’ component input = zero
    4. D.Component input โˆ’ component output = component accumulation
    36
    A mixer receives 50 kg/h A and 150 kg/h B with no losses. What is its outlet flow rate at steady state?
    1. A.100 kg/h
    2. B.150 kg/h
    3. C.250 kg/h
    4. D.200 kg/h
    37
    A splitter receives 300 kg/h and divides the stream into two branches, one carrying 120 kg/h. What is the second branch flow rate?
    1. A.120 kg/h
    2. B.180 kg/h
    3. C.150 kg/h
    4. D.420 kg/h
    38
    In an ideal splitter with no phase change or separation, how do branch compositions compare with the feed composition?
    1. A.Each branch has half the feed concentration
    2. B.Each branch has the same composition as the feed
    3. C.The larger branch is richer in the key component
    4. D.The smaller branch is richer in the key component
    39
    Which process unit is designed to combine two or more streams?
    1. A.Splitter
    2. B.Purge unit
    3. C.Mixer
    4. D.Separator
    40
    Which process unit divides one stream into streams of identical composition?
    1. A.Reactor
    2. B.Distillation column
    3. C.Ideal splitter
    4. D.Absorber
    41
    What is a tie component in material-balance calculations?
    1. A.A component appearing in only the feed
    2. B.A component whose amount remains unchanged through the operation considered
    3. C.A component that reacts completely
    4. D.A component present only in the product
    42
    Why is a tie component particularly useful in process calculations?
    1. A.It eliminates the need for compositions
    2. B.It guarantees equilibrium between all phases
    3. C.It determines reaction kinetics
    4. D.It directly relates inlet and outlet quantities without requiring the total balance first
    43
    In drying a wet solid where the dry solid does not leave with the vapor, which material commonly acts as the tie component?
    1. A.Water
    2. B.Water vapor
    3. C.Dry solid
    4. D.Humid air
    44
    In concentrating a nonvolatile sugar solution by evaporation, which component is a suitable tie component?
    1. A.Water vapor
    2. B.Sugar
    3. C.Steam
    4. D.Condensate
    45
    A feed of 1000 kg/h contains 10 wt% nonvolatile solute and is concentrated to 25 wt% solute. What is the concentrated product flow rate?
    1. A.250 kg/h
    2. B.400 kg/h
    3. C.600 kg/h
    4. D.750 kg/h
    46
    How much solvent is evaporated in Question 45?
    1. A.400 kg/h
    2. B.600 kg/h
    3. C.500 kg/h
    4. D.900 kg/h
    47
    A wet solid contains 20 wt% moisture and is dried to 5 wt% moisture. For 100 kg feed, what is the mass of dry solid?
    1. A.75 kg
    2. B.80 kg
    3. C.85 kg
    4. D.95 kg
    48
    What is the final product mass for the drying process in Question 47?
    1. A.80.00 kg
    2. B.82.50 kg
    3. C.95.00 kg
    4. D.84.21 kg
    49
    Approximately how much moisture is removed in Question 47?
    1. A.15.79 kg
    2. B.10.79 kg
    3. C.20.00 kg
    4. D.24.21 kg
    50
    Which balance is most convenient for calculating evaporation when the solute is completely nonvolatile?
    1. A.Vapor balance
    2. B.Solute balance
    3. C.Total-volume balance
    4. D.Pressure balance