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Which country became seventh member of South Asia Sub regional Economic Cooperation (SASEC) on 31 March 2017?
A
Myanmar
B
Bhutan
C
Nepal
D
Maldives
Correct Answer:
Myanmar
The rate expression for a heterogenous catalytic reaction is given by, - r
A
= K.K
A
P
A
(1 + K
A
.P
A
+ K
r
.P
R
), where K is surface reaction rate constant and K
A
and K
R
are absorption equilibrium constants of A and R respectively. If K
R
P
R
>> (1 + K
A
P
A
), the apparent activation energy E
A
is equal to (given E is the activation energy for the reaction and ΔH
R
and ΔH
A
are the activation energies of adsorption of R and A)
A
E
B
E + ΔH<sub>A</sub>
C
E + ΔH<sub>A</sub> - ΔH<sub>R</sub>
D
ΔH<sub>A</sub> + ΔH<sub>R</sub>
V
1
, V
2
, V
3
and V
4
are the volumes of four cubes of side lengths x cm, 2x cm, 3x cm and 4 cm respectively. Some statements regarding these volumes are given below :
(i) V
1
+ V
2
+ 2V
3
4
(ii) V
1
+ 4V
2
+ V
3
4
(iii) 2(V
1
+ V
3
) + V
2
= V
4
Which of these statements area correct ?
A
1 and 2
B
2 and 3
C
1 and 3
D
1, 2 and 3
Letx(t) be the input and y(t) be the output of a continuous time system. Match the system properties P
1
, P
2
and P
3
with system relations R
1
, R
2
, P
3
, P
4
.
Properties
P
1
: Linear but NOT time-invariant
P
2
: Time-invariant but NOT linear
P
3
: Linear and time-invariant
Relations
R
1
: y(t) = t
2
x(t)
R
2
: y(t) = t |x(t)|
R
3
: y(t) = |x(t)|
R
4
: y(t) = x(t - 5)
A
(P<sub>1</sub>, R<sub>1</sub>), (P<sub>2</sub>, R<sub>3</sub>), (P<sub>3</sub>, R<sub>4</sub>)
B
(P<sub>1</sub>, R<sub>2</sub>), (P<sub>2</sub>, P<sub>3</sub>), (P<sub>3</sub>, R<sub>4</sub>)
C
(P<sub>1</sub>, R<sub>3</sub>), (P<sub>2</sub>, R<sub>1</sub>), (P<sub>3</sub>, R<sub>2</sub>)
D
(P<sub>1</sub>, R<sub>1</sub>), (P<sub>2</sub>, R<sub>2</sub>), (P<sub>3</sub>, R<sub>3</sub>)
Given,
3H
2
+ CO = CH
4
+ H
2
O, K
P
= 10
1.84
and 4H
2
+ CO
2
= CH
4
+ 2H
2
O, K
P
= 10
1.17
the K
P
for the reaction CO + H
2
O = CO
2
+ H
2
is
A
10<sup>3.01</sup>
B
10<sup>-0.67</sup>
C
10<sup>-3.01</sup>
D
10<sup>0.67</sup>
Pick out the wrong statement below:
I. For the same conversion, the holding time required in a batch reactor, is always equal to the space time required in a PFR.
II. Two mixed reactors of unequal size are available for producing a specified product, formed by a homogenous second order reaction. To achieve maximum production rate, the smaller reactor should be placed in series before the larger reactor.
III. Arrehenius equation describing the effect of temperature on rate constant is given by, $${\text{K}} = {\text{A}}.{{\text{e}}^{ - \frac{{{\text{Ea}}}}{{{\text{RT}}}}}}$$
IV. The mechanism for the decomposition of CH
3
CHO into CH
4
and CO in presence of I
2
is:
CH
3
CHO + I
2
→ CH
3
I + HI + CO; slow
CH
3
I + HI → CH
4
+ I
2
; fast
Then the rate of disappearance CH
3
CHO is equal to K.C
CH
3
l
.C
Hl
and acts as a catalyst.
A
I
B
II
C
III
D
IV
Let X
1
, X
2
be two independent normal random variables with means μ
1
, μ
2
and standard deviations σ
1
, σ
2
respectively. Consider Y = X
1
- X
2
; μ
1
= μ
2
= 1, σ
1
= 1, σ
2
= 2, Then,
A
Y is normal distributed with mean 0 and variance 1
B
Y is normally distributed with mean 0 and variance 5
C
Y has mean 0 and variance 5, but is NOT normally distributed
D
Y has mean 0 and variance 1, but is NOT normally distributed
Let $$\overrightarrow {\bf{L}} $$ = (L
x
, L
y
, L
z
) denotes the orbital angular momentum operators of a particle and let L
+
= L
x
+ i L
y
and L
-
= L
x
- i L
y
. The particle is in aneigen state of L
2
and L
z
eigen values $${\hbar ^2}\left( {l + 1} \right)$$ and $$\hbar l$$ respectively. The expectation value of L
+
L
-
in this state is
A
$$l{\hbar ^2}$$
B
$$2l{\hbar ^2}$$
C
zero
D
$$l\hbar $$
Consider the following system of equations in three real variables x
1
, x
2
and x
3
2x
1
- x
2
+ 3x
3
= 1
3x
1
- 2x
2
+ 5x
3
= 2
-x
1
- 4x
2
+ x
3
= 3
This system of equations has
A
no solution
B
a unique solution
C
more than one but a finite number of solutions
D
an infinite number of solutions
There are 4 consecutive odd numbers (x
1
, x
2
, x
3
and x
4
) and three consecutive even numbers (y
1
, y
2
and y
3
). The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x
1
, x
2
, x
3
and x
4
?
A
30
B
38
C
32
D
34
A reasonably general expression for vapour-liquid phase equilibrium at low to moderate pressure is Φ
i
y
i
P = Y
i
x
i
f
i
° where, Φ is a vapor fugacity component, Y
i
is the liquid activity co-efficient and f
i
° is the fugacity of the pure component i. the K
i
value (Y
i
= K
i
x
i
) is therefore, in general a function of
A
Temperature only
B
Temperature and pressure only
C
Temperature, pressure and liquid composition x<sub>i</sub> only
D
Temperature, pressure, liquid composition x<sub>i</sub> and vapour composition y<sub>i</sub>