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GATE CH 2021 | Question: 23
The molar heat capacity at constant pressure $C_p$ (in $\text{J mol}^{-1} K^{-1}$) for $n$-pentane as a function of ... $2$ decimal places).
The molar heat capacity at constant pressure $C_p$ (in $\text{J mol}^{-1} K^{-1}$) for $n$-pentane as a function of temperature $(T$ in $K)$ is given by$ \dfrac{C_p}{R} =...
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 24
The following homogeneous liquid phase reactions are at equilibrium, The values of rate constants are given by: ... $s^{-1}$ (round off to $1$ decimal place)
The following homogeneous liquid phase reactions are at equilibrium,The values of rate constants are given by: $k_1 = 0.1 s^{-1}$, $k_{-1}=0.2 s^{-1}, k_2 = 1 s^{-1}, k_{...
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1.4k
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Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 25
A company invests in a recovery unit to separate valuable metals from effluent streams. The total initial capital ... lakhs of rupees (correct to $1$ decimal place)
A company invests in a recovery unit to separate valuable metals from effluent streams. The total initial capital investment of this unit is Rs. $10$ lakhs. The recovered...
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1.4k
points
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asked
Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 26
Let $A$ be a square matrix of size $n \times n (n>1)$. The elements of $A=\{a_{ij}\}$ ... $A$ is $0$ $1$ $n!$ $(n!)^2$
Let $A$ be a square matrix of size $n \times n (n>1)$. The elements of $A=\{a_{ij}\}$ are given by $$a_{ij} = \begin{cases} i \times j, & \text{if } i \geq j \\ 0, & \tex...
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1.4k
points
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asked
Mar 1, 2021
Linear Algebra
gatech-2021
linear-algebra
matrix-algebra
determinant
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GATE CH 2021 | Question: 27
Consider a fluid confined between two horizontal parallel plates and subjected to shear flow. In the ... is ___________ Newtonian Pseudoplastic Dilatant Ideal and inviscid
Consider a fluid confined between two horizontal parallel plates and subjected to shear flow.In the first experiment, the plates are separated by a distance of $1 \: mm$....
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Mar 1, 2021
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GATE CH 2021 | Question: 28
Water of density $1000 \text{ kg m}^{-3}$ flows in a horizontal pipe of $10 \: cm$ diameter at an average velocity of ... $0.0012$ $0.0074$ $0.0082$ $0.0106$
Water of density $1000 \text{ kg m}^{-3}$ flows in a horizontal pipe of $10 \: cm$ diameter at an average velocity of $0.5 \: m \: s^{-1}$. The following plot shows the p...
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Mar 1, 2021
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GATE CH 2021 | Question: 29
In a solvent regeneration process, a gas is used to strip a solute from a liquid in a countercurrent packed tower operating ...
In a solvent regeneration process, a gas is used to strip a solute from a liquid in a countercurrent packed tower operating under isothermal condition. Pure gas is used i...
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Mar 1, 2021
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GATE CH 2021 | Question: 30
Which of these symbols can be found in piping and instrumentation diagrams? $(Q)$ and $(S)$ only $(P)$, $(Q)$ and $(R)$ ... $(P)$, $(Q)$, $(R)$ and $(S)$
Which of these symbols can be found in piping and instrumentation diagrams?$(Q)$ and $(S)$ only$(P)$, $(Q)$ and $(R)$ only$(P)$, $(R)$ and $(S)$ only$(P)$, $(Q)$, $(R)$ a...
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GATE CH 2021 | Question: 31
It is required to control the volume of the contents in the jacketed reactor shown in the figure. Which one of the ... $V-3$ Measure $F101$ and manipulate valve $V-1$
It is required to control the volume of the contents in the jacketed reactor shown in the figure.Which one of the following schemes can be used for feedback control?Measu...
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GATE CH 2021 | Question: 32
Which of the following is $\text{NOT}$ a necessary condition for a process under closed-loop control to be ... an amplitude ratio less than $1$ at the critical frequency
Which of the following is $\text{NOT}$ a necessary condition for a process under closed-loop control to be stable?Dead-time term(s) must be absent in the open-loop transf...
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Mar 1, 2021
Others
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GATE CH 2021 | Question: 33
Match the reaction in $\textbf{Group - 1}$ with the reaction type in $\textbf{Group - 2}$ ... $\text{P-I, Q-IV, R-III, S-II}$
Match the reaction in $\textbf{Group – 1}$ with the reaction type in $\textbf{Group – 2}$.$\begin{array}{|c|l|c|l|} \hline & \textbf{Group – 1} && \textbf{Group –...
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GATE CH 2021 | Question: 34
To solve an algebraic equation $f(x)=0$, an iterative scehme of the type $x_{n+1} = g(x_n)$ ... order of convergence for this iterative scheme near the solution is ________
To solve an algebraic equation $f(x)=0$, an iterative scehme of the type $x_{n+1} = g(x_n)$ is proposed, where $g(x)=x-\dfrac{f(x)}{f’(x)}$.At the solution $x=s,\: g’...
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1.4k
points
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Mar 1, 2021
Calculus
gatech-2021
numerical-answers
calculus
convergence
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GATE CH 2021 | Question: 35
The probability distribution function of a random variable $X$ is shown in the following figure. From this distribution, ... is _______ (round off to $3$ decimal places)
The probability distribution function of a random variable $X$ is shown in the following figure.From this distribution, random samples with sample size $n=68$ are taken. ...
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1.4k
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Mar 1, 2021
Probability and Statistics
gatech-2021
numerical-answers
probability-and-statistics
probability
uniform-distribution
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GATE CH 2021 | Question: 36
For the ordinary differential equation $\dfrac{d^3y}{dt^3}+6 \dfrac{d^2y}{dt^2}+11 \dfrac{dy}{dt}+6y=1$ with ... $3$ decimal places).
For the ordinary differential equation $$\dfrac{d^3y}{dt^3}+6 \dfrac{d^2y}{dt^2}+11 \dfrac{dy}{dt}+6y=1$$ with initial conditions $y(0)=y’(0) = y’’(0)=y’’’(0)...
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Mar 1, 2021
Differential equations
gatech-2021
numerical-answers
differential-equations
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GATE CH 2021 | Question: 37
Formaldehyde is produced by the oxidation of methane in a reactor. The following two parallel reactions occur. ... reactor is _______ $\text{mol s}^{-1}$
Formaldehyde is produced by the oxidation of methane in a reactor. The following two parallel reactions occur.$$CH_4+O_2 \rightarrow HCHO+H_2O \\ CH_4 +2O_2 \rightarrow C...
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1.4k
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Mar 1, 2021
Others
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numerical-answers
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GATE CH 2021 | Question: 38
The combustion of carbon monoxide is carried out in a closed, rigid and insulated vessel. $1 \text{ mol}$ ... is ___________ bar (round off to $1$ decimal place).
The combustion of carbon monoxide is carried out in a closed, rigid and insulated vessel. $1 \text{ mol}$ of $CO$, $0.5 \text{ mol}$ of $O_2$ and $2 \text{ mol}$ of $N_2$...
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1.4k
points
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 39
A gaseous mixture at $1$ bar and $300 \: K$ consists of $20 \text{ mol } \% \: CO_2$ ... and pressure is ________ $\text{kJ}$ (round off to nearest integer)
A gaseous mixture at $1$ bar and $300 \: K$ consists of $20 \text{ mol } \% \: CO_2$ and $80 \text{ mol } \%$ inert gas.Assume the gases to be ideal. Take $R=8.314 \text{...
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numerical-answers
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GATE CH 2021 | Question: 40
A binary liquid mixture consists of two species $1$ and $2$. Let $\gamma$ and $x$ represent the activity ... mole fraction is ___________ ( correct to $3$ decimal places)
A binary liquid mixture consists of two species $1$ and $2$. Let $\gamma$ and $x$ represent the activity coefficient and the mole fraction of the species, respectively. U...
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1.4k
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Mar 1, 2021
Others
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numerical-answers
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GATE CH 2021 | Question: 41
Consider a tank filled with $3$ immiscible liquid $A$, $B$ and $C$ at static equilibrium, as shown in the figure. At ... that is wetted by liquid $B$ is _______ $\text{cm}$
Consider a tank filled with $3$ immiscible liquid $A$, $B$ and $C$ at static equilibrium, as shown in the figure. At $2 \: cm$ below the liquid $A$- liquid $B$ interface,...
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Mar 1, 2021
Others
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numerical-answers
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GATE CH 2021 | Question: 42
Seawater is passed through a column containing a bed of resin beads. Density of seawater $=1025 \: \text{ kg m}^{-3}$ ... (round off to nearest integer).
Seawater is passed through a column containing a bed of resin beads.Density of seawater $=1025 \: \text{ kg m}^{-3}$Density of resin beads $=1330 \text{ kg m}^{-3}$Diame...
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 43
A straight fin of uniform circular cross section and adiabatic tip has an aspect ratio (length/diameter) of $4$. If ... is ___________ $\%$ (round off to nearest integer).
A straight fin of uniform circular cross section and adiabatic tip has an aspect ratio (length/diameter) of $4$. If the Biot number (based on the radius of the fin as the...
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 44
A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at ... is _________$^\circ C$ (round off to nearest integer)
A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at $110\:^{\circ} C$ and the boiling point of the solution in the second e...
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1.4k
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 45
Consider a solid slab of thickness $2L$ and uniform cross section $A$. The volumetric rate of heat generation within ... slab is _______ $K$ (round off to nearest integer).
Consider a solid slab of thickness $2L$ and uniform cross section $A$. The volumetric rate of heat generation within the slab is $\dot{g} \: (W \: m^{-3})$. The slab lose...
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1.4k
points
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 46
A distillation column handling a binary mixture of $A$ and $B$ is operating at total reflux. It has two ideal stages ... $2$ decimal places).
A distillation column handling a binary mixture of $A$ and $B$ is operating at total reflux. It has two ideal stages including the reboiler. The mole fraction of the more...
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1.4k
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 47
In a batch drying experiment, a solid with a critical moisture content of $0.2 \: kg$ $H_2O/kg$ dry solid is dried ... is _______ $kg/m^2$ (round off to nearest integer).
In a batch drying experiment, a solid with a critical moisture content of $0.2 \: kg$ $H_2O/kg$ dry solid is dried from an initial moisture content of $0.35 \: kg$ $H_2O/...
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1.4k
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Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 48
As shown in the figure below, air flows in parallel to a freshly painted solid surface of width $10 \: m$, along ... $2$ decimal places).
As shown in the figure below, air flows in parallel to a freshly painted solid surface of width $10 \: m$, along the $z$-direction.The equilibrium vapor concentration of ...
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1.4k
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 49
The following isothermal autocatalytic reaction ... time of the $\text{CSTR}$ is _________ seconds.
The following isothermal autocatalytic reaction $$ A +B \longrightarrow 2B \quad\quad\quad(-r_A)=0.1C_AC_B(\text{mol } L^{-1} s^{-1})$$is carried out in an ideal continuo...
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1.4k
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 50
Reactant $A$ decomposes to products $B$ and $C$ in the presence of an enzyme in a well-stirred batch reactor. The ... $\text{min}$ (round off to $2$ decimal places).
Reactant $A$ decomposes to products $B$ and $C$ in the presence of an enzyme in a well-stirred batch reactor. The kinetic rate expression is given by$$-r_A = \dfrac{0.01C...
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1.4k
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 51
The following homogeneous, irreversible reaction involving ideal gases, ... meter. (round off to $2$ decimal places).
The following homogeneous, irreversible reaction involving ideal gases, $$A \longrightarrow B+C \quad\quad\quad(-r_A)=0.5C_A (\text{mol L}^{-1} s^{-1})$$ is carried out i...
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1.4k
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asked
Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 52
A system has a transfer function $G(s)= \dfrac{3e^{-4s}}{12s+1}$. When a step change of magnitude $M$ is ... is measured to be $120$. The value of $M$ is ____________.
A system has a transfer function $G(s)= \dfrac{3e^{-4s}}{12s+1}$. When a step change of magnitude $M$ is given to the system input, the final value of the system output i...
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1.4k
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go_editor
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Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 53
A person has a transfer function $G(s)= \dfrac{Y(s)}{X(s)} = \dfrac{20}{90000s^2+240s+1}$. Initially ... new steady state is __________ (round off to $1$ decimal place).
A person has a transfer function $G(s)= \dfrac{Y(s)}{X(s)} = \dfrac{20}{90000s^2+240s+1}$. Initially the process is at steady state with $x(t=0)=0.4$ and $y(t=0)=100$. If...
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Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 54
Operating labor requirements $L$ ... is _______(round off to nearest integer).
Operating labor requirements $L$ in the chemical process industry is described in terms of the plant capacity $C ( \text{kg day}^{-1})$ over a wide range $(10^3-10^6)$ by...
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1.4k
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asked
Mar 1, 2021
Others
gatech-2021
numerical-answers
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GATE CH 2021 | Question: 55
A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of ... is _______ meter (round off to $3$ decimal places).
A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by $$C_{\text{pump}} = \dfrac{48.13\: q^2 ...
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GATE Chemical 2020 | Question: 21
An irreversible gas phase reaction $2 \textbf{P} \rightarrow 4 \textbf{Q} + \textbf{R}$ is conducted in an isothermal and isobaric batch reactor. Assume ideal gas behavio...
soujanyareddy13
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soujanyareddy13
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Nov 16, 2020
Others
gate2020
numerical-answers
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GATE Chemical 2020 | Question: 22
Consider two Carnot engines $C_1$ and $C_2$ as shown in the figure.The efficiencies of the engines $C_1$ and $C_2$ are $0.40$ and $0.35$, respectively. If the temperature...
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1.8k
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soujanyareddy13
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Nov 16, 2020
Others
gate2020
numerical-answers
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GATE Chemical 2020 | Question: 23
Consider the following closed loop system with $G_p$ and $G_c$ as the transfer functions of the process and the controller, respectively.For a unit step change in the set...
soujanyareddy13
1.8k
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soujanyareddy13
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Nov 16, 2020
Others
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numerical-answers
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GATE Chemical 2020 | Question: 24
The decomposition of acetaldehyde $(X)$ to methane and carbon monoxide follows four-step free radical mechanism. The overall rate of decomposition of $X$ is $$-r_X=k_2 \b...
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1.8k
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soujanyareddy13
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Others
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GATE Chemical 2020 | Question: 25
Sum of the eigenvalues of the matrix $\begin{bmatrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{bmatrix}$ is ______ (round off to nearest integer).
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1.8k
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soujanyareddy13
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Nov 16, 2020
Linear Algebra
gate2020
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linear-algebra
matrices
eigen-values
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GATE Chemical 2020 | Question: 26
In a box, there are $5$ green balls and $10$ blue balls. A person picks $6$ balls randomly. The probability that the person has picked $4$ green balls and $2$ blue balls ...
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1.8k
points
soujanyareddy13
asked
Nov 16, 2020
Probability and Statistics
gate2020
probability-and-statistics
probability
conditional-probability
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0
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GATE Chemical 2020 | Question: 27
The maximum value of the function $f(x)=-\dfrac{5}{3} x^3 +10x^2-15x+16$ in the interval $(0.5,3.5)$ is$0$$8$$16$$48$
soujanyareddy13
1.8k
points
soujanyareddy13
asked
Nov 16, 2020
Calculus
gate2020
calculus
maxima-minima
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