Name of the Organisation : Institute Of Aeronautical Engineering
Exam : B.Tech Semester Examinations
Subject : Chemistry & Linear Algebra Calculus
Semester : 1
Document Type : Previous Question Paper
Website : https://www.iare.ac.in
B.Tech Semester -1 Chemistry & Linear Algebra Calculus Question Papers
IARE B.Tech Chemistry Previous Question Paper Semester 1 for the year 2021.
Related / Similar Question Paper : iare.ac.in B.Tech Electrical Engineering Previous Question Paper
B.Tech Semester -1 Chemistry Questions
MODULE – I
1. (a) Describe the construction and working of lead-acid battery. [7M]
(b) Calculate the electrode potential of zinc metal dipped in 0.01 M ZnSO4 solution at 298K. E0Zn2+/Zn= -0.76V. [7M]
MODULE – II
2. (a) What are the salts responsible for hardness? Write the disadvantages of using hard water in industries. [7M]
(b) A water sample contains the following. Mg(HCO3)2 =73mg/l; MgCl2= 95mg/l; NaCl = 410mg/l. Calculate temporary, permanent and total hardness of the sample water. [7M]
MODULE – III
3. (a) What you understand about the vulcanization of rubber? Write the advantages of vulcanization? [7M]
(b) Explain the addition polymerization process with an example. [7M]
4. (a) Describe the preparation, properties and applications of PVC and Teflon. [7M]
(b) Explain the theories for the mechanism of the lubricants. [7M]
MODULE – IV
5. (a) Explain how the percentage of carbon, hydrogen, nitrogen, and sulphur are estimated in ultimate analysis of coal. [7M]
(b) A sample of coal contains carbon= 60%, Hydrogen= 6% Oxygen=33% Sulphur = 0.5%, Nitrogen = 0.2%. Calculate HCV , LCV calorific value of the fuel. [7M]
6. (a) Discuss the following methods for green synthesis i) Aqueous phase method. ii) Microwave method. [7M]
(b) Describe the moisture, volatile matter,ash content and fixed carbon in proximate analysis of coal and its significance. [7M]
MODULE – V
7. (a) Describe the major sources of water pollution. What are its effects on environment? [7M]
(b) Explain the causes, effects and control measure of flood and drought. [7M]
8. (a) Discuss the sources,effects and methods adopted to control air pollution in industries. [7M]
(b) Explain the harnessing methods of solar energy,hydro power energy and wind energy. [7M]
B.Tech Semester -1 Linear Algebra Calculus Questions
Module – I
1. (a) Find the rank of a matrix by reducing into echelon form of
1 2 3
2 3 4
3 5 7 [7M]
(b) Find the inverse of a matrix by using Gauss-Jordan method
2 2 6
2 6 − 6
4 − 8 − 8. [7M]
Module – II
2. (a) Verify Cayley-Hamilton theorem for A=
2 1 1
0 1 0
1 1 2 Hence find the value of 5A3 – 7A2 + 3A. [7M]
(b) Find the eigen values and corresponding eigen vectors of A=
−2 2 −3
2 1 −6
−1 −2 0 [7M]
Module – III
3. (a) Show that the Rolle’s theorem is applicable for the function f(x)= log
( x2+abx(a+b))in the interval [a, b] , a > 0, b > 0. [7M]
(b) Show that the Lagrange’s mean value theorem is applicable for the function f (x) = x3 −x2 −5x+3 in the interval [0,4]. [7M]
4. (a) If u=xyz, v=xy+yz+zx, w=x+y+z. Find ∂(u,v,w)
∂(x,y,w) at (1,0,1). [7M]
(b) Examine the stationary points of the function f (x, y) = x3 + y3 − 3x − 12y + 20 and also state their nature. [7M]
Module – IV
5. (a) Solve (D3 + 1)y = 5e2x. [7M]
(b) Solve (D2 − 5D + 4)y = sin 2x + x3 + 3. [7M]
6. (a) Solve (D2 − 3D + 2)y = 2cos(2x + 3) + 2ex. [7M]
(b) Solve d2y
dx2 + 2 dy
dx + 5y = e−x tan x using the of method of variation of parameters. [7M]
Module – V
7. (a) Obtain the Fourier series expansion of f(x) given that f (x) = x2 in −π < x < π and deduce the
value of 1
12 + 1
22 + 1
32 + ……… = π2
(b) Obtain the Fourier series of f (x) =
πx, 0 ≤ x ≤ 1
π(2 − x), 1 ≤ x ≤ 2 [7M]
8. (a) Find the half range Fourier sine series for the function f(x) = cos x for 0 < x < π. [7M]
(b) Express f (x) = eax as a Fourier series in the interval 0 < x < 2π. [7M]
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