Q. Which of the following statements is true regarding the Arrhenius equation? (2023)
A.
It relates temperature to the rate constant
B.
It is only applicable to zero-order reactions
C.
It does not include activation energy
D.
It is a linear equation
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Solution
The Arrhenius equation relates temperature to the rate constant and includes activation energy.
Correct Answer: A — It relates temperature to the rate constant
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Q. Which of the following statements is true regarding the base-8 number system?
A.
It uses digits 0-7
B.
It uses digits 0-8
C.
It is a binary system
D.
It is a hexadecimal system
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Solution
The base-8 number system, also known as octal, uses digits from 0 to 7. Therefore, the correct statement is that it uses digits 0-7.
Correct Answer: A — It uses digits 0-7
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Q. Which of the following statements is true regarding the Biot-Savart Law?
A.
It applies only to straight conductors
B.
It can be used for any current distribution
C.
It is only valid for AC currents
D.
It does not consider the distance from the wire
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Solution
The Biot-Savart Law can be used for any current distribution, not just straight conductors.
Correct Answer: B — It can be used for any current distribution
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Q. Which of the following statements is true regarding the boiling point of a liquid?
A.
It is constant regardless of pressure.
B.
It increases with increasing atmospheric pressure.
C.
It decreases with increasing atmospheric pressure.
D.
It is the same for all liquids.
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Solution
The boiling point of a liquid increases with increasing atmospheric pressure.
Correct Answer: B — It increases with increasing atmospheric pressure.
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Q. Which of the following statements is true regarding the boiling points of aldehydes and ketones? (2023)
A.
Aldehydes have higher boiling points than ketones
B.
Ketones have higher boiling points than aldehydes
C.
Both have the same boiling points
D.
None of the above
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Solution
Ketones generally have higher boiling points than aldehydes due to stronger dipole-dipole interactions.
Correct Answer: B — Ketones have higher boiling points than aldehydes
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Q. Which of the following statements is true regarding the classification of polygons?
A.
All quadrilaterals are polygons.
B.
All polygons are quadrilaterals.
C.
Only triangles and quadrilaterals are polygons.
D.
Polygons cannot have more than four sides.
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Solution
All quadrilaterals are indeed polygons, as they are defined as shapes with four sides, which fits the definition of a polygon.
Correct Answer: A — All quadrilaterals are polygons.
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Q. Which of the following statements is true regarding the complex ion [Fe(CN)6]3-?
A.
It is a high-spin complex
B.
It is a low-spin complex
C.
It has a coordination number of 4
D.
It is paramagnetic
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Solution
[Fe(CN)6]3- is a low-spin complex due to the strong field ligand CN-, which causes pairing of electrons.
Correct Answer: B — It is a low-spin complex
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Q. Which of the following statements is true regarding the complex [Ag(NH3)2]+? (2023)
A.
It is a tetrahedral complex.
B.
It is a square planar complex.
C.
It is a linear complex.
D.
It is an octahedral complex.
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Solution
[Ag(NH3)2]+ is a linear complex because silver (Ag) has a coordination number of 2 with two bidentate ligands.
Correct Answer: C — It is a linear complex.
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Q. Which of the following statements is true regarding the complex [Co(NH3)6]3+?
A.
It is tetrahedral
B.
It is octahedral
C.
It is square planar
D.
It has no unpaired electrons
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Solution
[Co(NH3)6]3+ is octahedral in geometry due to the six ligands surrounding the cobalt ion.
Correct Answer: B — It is octahedral
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Q. Which of the following statements is true regarding the complex [Cr(NH3)6]3+? (2023)
A.
It is tetrahedral
B.
It is octahedral
C.
It is square planar
D.
It has a coordination number of 4
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Solution
The complex [Cr(NH3)6]3+ is octahedral with a coordination number of 6, as it is surrounded by six ammonia ligands.
Correct Answer: B — It is octahedral
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Q. Which of the following statements is true regarding the complex [Cu(NH3)4]SO4?
A.
Cu is in +1 oxidation state
B.
Cu is in +2 oxidation state
C.
NH3 is a monodentate ligand
D.
All of the above
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Solution
In [Cu(NH3)4]SO4, copper is in +2 oxidation state, NH3 is a monodentate ligand, making the statement 'All of the above' incorrect.
Correct Answer: D — All of the above
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Q. Which of the following statements is true regarding the composition of functions?
A.
The composition of two functions is always a function.
B.
The composition of two functions is never a function.
C.
The composition of two functions can be a function or not, depending on the functions involved.
D.
The composition of two functions is always linear.
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Solution
The composition of two functions can result in a function or not, depending on the nature of the original functions.
Correct Answer: C — The composition of two functions can be a function or not, depending on the functions involved.
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Q. Which of the following statements is true regarding the data represented in the mixed graph? (2023)
A.
The data is consistent across all variables.
B.
There are outliers affecting the overall trend.
C.
The data is skewed towards higher values.
D.
All variables are equally represented.
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Solution
The presence of outliers is evident in the graph, which affects the overall trend of the data.
Correct Answer: B — There are outliers affecting the overall trend.
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Q. Which of the following statements is true regarding the Earth's magnetic field?
A.
It is uniform everywhere
B.
It has a magnetic north and south pole
C.
It is only present at the equator
D.
It does not affect compass needles
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Solution
The Earth's magnetic field has a magnetic north and south pole and affects compass needles, causing them to align with the field.
Correct Answer: B — It has a magnetic north and south pole
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Q. Which of the following statements is true regarding the energy levels of molecular orbitals?
A.
σ orbitals are always lower in energy than π orbitals.
B.
π orbitals are always lower in energy than σ orbitals.
C.
For second period elements, σ2p is lower than π2p.
D.
Bonding orbitals are higher in energy than antibonding orbitals.
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Solution
For second period elements, σ2p is lower in energy than π2p.
Correct Answer: C — For second period elements, σ2p is lower than π2p.
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Q. Which of the following statements is true regarding the equilibrium constant (K) for a reaction?
A.
K is temperature dependent
B.
K is pressure dependent
C.
K is concentration dependent
D.
K is always equal to 1
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Solution
The equilibrium constant (K) is dependent on temperature; it changes with temperature variations.
Correct Answer: A — K is temperature dependent
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Q. Which of the following statements is true regarding the equilibrium constant Kc?
A.
Kc is temperature dependent
B.
Kc is pressure dependent
C.
Kc is concentration dependent
D.
Kc is independent of the reaction
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Solution
The equilibrium constant Kc is dependent on temperature; changing the temperature will change the value of Kc.
Correct Answer: A — Kc is temperature dependent
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Q. Which of the following statements is true regarding the equilibrium constant? (2020)
A.
Kc is temperature dependent
B.
Kc is pressure dependent
C.
Kc is concentration dependent
D.
Kc is independent of temperature
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Solution
The equilibrium constant Kc is dependent on temperature; changing the temperature will change the value of Kc.
Correct Answer: A — Kc is temperature dependent
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Q. Which of the following statements is true regarding the expression 2^(x+y)?
A.
It can be expressed as 2^x + 2^y.
B.
It can be expressed as 2^x * 2^y.
C.
It is always greater than 1.
D.
It is equal to x + y.
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Solution
The property of exponents states that a^(m+n) = a^m * a^n.
Correct Answer: B — It can be expressed as 2^x * 2^y.
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Q. Which of the following statements is true regarding the factors of 36?
A.
36 has 8 factors
B.
36 is a prime number
C.
All factors of 36 are even
D.
36 is a perfect square
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Solution
36 is indeed a perfect square as it can be expressed as 6 x 6.
Correct Answer: D — 36 is a perfect square
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Q. Which of the following statements is true regarding the first law of thermodynamics?
A.
It applies only to closed systems.
B.
It is a statement of conservation of energy.
C.
It can be violated under certain conditions.
D.
It only applies to mechanical systems.
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Solution
The first law of thermodynamics is a statement of conservation of energy, applicable to all thermodynamic systems.
Correct Answer: B — It is a statement of conservation of energy.
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Q. Which of the following statements is true regarding the Freundlich adsorption isotherm? (2020) 2020
A.
It is applicable to monolayer adsorption.
B.
It assumes a uniform surface.
C.
It is a linear relationship.
D.
It describes heterogeneous adsorption.
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Solution
The Freundlich adsorption isotherm describes heterogeneous adsorption on surfaces with varying affinities, making it suitable for real-world applications.
Correct Answer: D — It describes heterogeneous adsorption.
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Q. Which of the following statements is true regarding the Freundlich adsorption isotherm? (2020)
A.
It applies only to monolayer adsorption.
B.
It is applicable to heterogeneous surfaces.
C.
It predicts a constant adsorption capacity.
D.
It is a linear relationship.
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Solution
The Freundlich adsorption isotherm is applicable to heterogeneous surfaces and describes how adsorption varies with pressure or concentration, indicating that it is not limited to monolayer adsorption.
Correct Answer: B — It is applicable to heterogeneous surfaces.
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Q. Which of the following statements is true regarding the function f(x) = 1/(x-3)?
A.
Continuous at x = 3
B.
Discontinuous at x = 3
C.
Continuous everywhere
D.
Discontinuous everywhere
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Solution
The function f(x) = 1/(x-3) is discontinuous at x = 3 because it is undefined at that point.
Correct Answer: B — Discontinuous at x = 3
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Q. Which of the following statements is true regarding the function f(x) = x^2?
A.
It is a linear function.
B.
It is a quadratic function.
C.
It is a constant function.
D.
It is an exponential function.
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Solution
The function f(x) = x^2 is a quadratic function because it can be expressed in the form ax^2 + bx + c.
Correct Answer: B — It is a quadratic function.
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Q. Which of the following statements is true regarding the function f(x) = |x|?
A.
Continuous everywhere
B.
Discontinuous at x = 0
C.
Continuous only for x > 0
D.
Discontinuous for x < 0
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Solution
The function f(x) = |x| is continuous everywhere, including at x = 0.
Correct Answer: A — Continuous everywhere
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Q. Which of the following statements is true regarding the graph of a linear equation?
A.
It can be a curve.
B.
It is always a straight line.
C.
It can have multiple slopes.
D.
It can intersect the x-axis at multiple points.
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Solution
The graph of a linear equation is always a straight line.
Correct Answer: B — It is always a straight line.
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Q. Which of the following statements is true regarding the graph of a quadratic function?
A.
It is always a straight line.
B.
It can open upwards or downwards.
C.
It has no intercepts.
D.
It is always increasing.
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Solution
The graph of a quadratic function is a parabola that can open upwards (if a > 0) or downwards (if a < 0).
Correct Answer: B — It can open upwards or downwards.
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Q. Which of the following statements is true regarding the graph of the equation 5x + 2y = 10?
A.
It is a vertical line.
B.
It is a horizontal line.
C.
It has a positive slope.
D.
It has a negative slope.
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Solution
Rearranging the equation to y = -5/2x + 5 shows that the slope is negative.
Correct Answer: D — It has a negative slope.
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Q. Which of the following statements is true regarding the graph of the equation y = mx + b?
A.
The graph is always a circle.
B.
The slope m indicates the steepness of the line.
C.
The y-intercept b is always negative.
D.
The graph can never be horizontal.
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Solution
In the equation y = mx + b, m represents the slope, which indicates how steep the line is.
Correct Answer: B — The slope m indicates the steepness of the line.
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