Basic Laws of Chemical Kinetics - Transport Phenomena and Rate Processes - Metallurgical Engineering Previous Year Questions

1

2007 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2007

The activation energy for a reaction is 100 kJ/mole. The approximate increase in temperature required for doubling the rate of reaction, from that at 25 °C, is

A

5 °C

B

10 °C

C

15 °C

D

20 °C

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2

2011 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2011

For a reaction A→B, if the rate of change in concentration of A (C_A), can be written as \(-\frac{dC_A}{dt} = k C_A^2\), then the change in concentration with time from initial concentration of A, C_A0 is given by

A

\((1/C_A) - (1/C_{A0}) = k.t\)

B

\((C_{A0} - C_A) = k.t\)

C

\((C_{A0}^2 - C_A^2) = k.t\)

D

\(\ln (C_{A0}/C_A) = k.t\)

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3

2011 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2011

If k is the rate constant for a reaction and T is the absolute temperature in the given figure, the activation energy for the reaction is

A

1000 J/mol

B

2000 J/mol

C

4155 J/mol

D

8314 J/mol

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4

2012 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2012

Consider a reaction with activation energy of 8.314 kJ/mol that takes place at 300 K. If the reaction rate is to be tripled, the temperature of the reaction should be

A

174.5 K

B

447.5 K

C

600.5 K

D

847.5 K

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5

2016 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2016

Activation energy of a chemical reaction, homogeneous or heterogeneous, is graphically estimated from a plot between [where, k is the rate constant and T is the absolute temperature]

A

k versus T

B

1/k versus T

C

1/k versus ln T

D

ln k versus 1/T

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6

2017 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2017

During the end blow period in LD steelmaking, the de-carburization rate is expressed by the equation: \(\frac{dc}{dt} = - (c - c^*)\). Here, c and c^* are the instantaneous and equilibrium concentration of carbon in steel respectively, in units of wt.%. Given that c^* = 0.04 wt.% and c (t = 0 min) = 0.4 wt.%, the concentration of carbon in steel (in wt.%) at t = 1 min is __________ (answer up to three decimal places)

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7

2020 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2020

A metal oxidizes at 1200 K with a parabolic rate constant of \( 3 \times 10^{-6} \text{ g}^2\text{cm}^{-4}\text{s}^{-1} \). Time taken for the oxide film to grow to a thickness of 2 μm is ________ s (round off to two decimal places).
Given, density of oxide is 6.5 g.cm^-3.

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8

2021 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2021

For a zeroth order chemical reaction, which one of the following is FALSE?

A

Concentration versus time plot is a straight line.

B

Increase in concentration of reacting species increases the rate of reaction.

C

Half-life depends on the initial concentration and zero-order rate constant.

D

Rate of reaction depends on temperature.

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9

2021 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2021

Nickel undergoes isothermal oxidation at 800 K for a duration of 400 s resulting in a weight gain of \( 2 \) mg cm^-2. The weight gain (mg cm^-2) after a duration of 1600 s is: ______ (round off to nearest integer).
Assume: Weight gain is proportional to square root of time.

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10

2023 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2023

The rate constant of a reaction at 400 K is three times the value at 300 K. The activation energy of the reaction in \(kJ\ mol^{-1}\) is __________ (round off to 1 decimal place).
Given: Universal gas constant, R = 8.314 \(J\ mol^{-1}K^{-1}\)

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11

2025 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Basic Laws of Chemical Kinetics

Metallurgical Engineering (MT) 2025

The reaction represented by \(A \rightarrow B\) follows first order kinetics. At a given temperature, 20% of the reaction is completed in 223 s.
The time taken to complete 50% of the reaction at the same temperature is ____ s (rounded off to the nearest integer).

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