🔥🌟 MDCAT/ECAT/FSC Grand Chemistry MCQs Interactive Quiz 3 🧪💡| Learn & Practice!
Doubling T → volume ×2; halving P → volume ×2; net effect = 4× increase.
Combustion is exothermic (releases heat). The others absorb energy (endothermic).
General rate law: R = k[A]ⁿ
where n = order of reaction.
Units of rate (R) = concentration/time (e.g., mol·L⁻¹·s⁻¹).
For a zero-order reaction (n = 0):
R = k[A]⁰ = k, So, K = R
Therefore, units of k = units of rate = concentration/time.
🔎 For zero-order reactions, the rate is independent of concentration, so the rate constant has the same units as the rate itself: concentration per unit time.
Buffer solution: A mixture that resists changes in pH when small amounts of acid or base are added.
Typically made of a weak acid + its salt OR a weak base + its salt.
Check each option:
Na₂CO₃ / NaHCO₃→ Weak acid (HCO₃⁻) and its conjugate base (CO₃²⁻).✅ Buffer.
NaOH / HCl → Strong base + strong acid.❌ Not a buffer (they neutralize each other, no weak component remains).
CH₃COOH / CH₃COONa → Weak acid (acetic acid) + its salt (sodium acetate).✅ Buffer.
NH₄OH / NH₄Cl→Weak base (ammonium hydroxide) + its salt (ammonium chloride).✅ Buffer.
🔎 🔎 A buffer must involve a weak acid/base with its conjugate salt. NaOH and HCl are strong and neutralize completely, so they cannot form a buffer solution.
A conjugate acid is formed when a base accepts a proton (H⁺).
NH₃ (ammonia) acts as a base. If NH₃ accepts one proton:
NH₃ + H⁺ → NH₄⁺
So, the conjugate acid of NH₃ is NH₄⁺ (ammonium ion).
🔎 NH₃ is a weak base, and its conjugate acid is formed by adding one proton, giving NH₄⁺.
According to Graham's Law of Diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass i.e. Rate of diffusion ∝ √1/M (M = molar mass of the gas).
For hydrogen (H₂) and oxygen (O₂):
Molar mass of H₂ = 2 g/mol
Molar mass of O₂ = 32 g/mol
Using Graham's Law:
Rate of diffusion of H₂/Rate of diffusion of O₂ = √32/2 = √16 = 4
Hence, the ratio of diffusion rates of H₂ to O₂ is 4:1.
🔎 According to Graham’s Law, lighter gases diffuse faster. Since H₂ is much lighter than O₂, it diffuses 4 times faster.
🔎 A non-polar molecule cannot form hydrogen bonds or dipole–dipole interactions. Its intermolecular attraction arises only from London dispersion forces, which become stronger as molecular size increases.
🔎 When two allotropic forms of an element are in equilibrium, the specific temperature is known as the transition temperature. For example, rhombic sulfur converts to monoclinic sulfur at 95.6 °C (transition temperature).
🔎 Ice is a molecular solid where water molecules are connected by hydrogen bonds, giving it its unique open lattice structure and lower density compared to liquid water. Covalent bonds exist within the H₂O molecule, but the intermolecular attraction that holds the lattice of ice together is hydrogen bonding.
🔎 An AB₂ molecule with bond angle 104.5° (like H₂O) has 2 bond pairs and 2 lone pairs, giving it a bent geometry.
🔎 BCl₃ has 3 bond pairs, no lone pairs, giving a trigonal planar geometry with sp² hybridization.
🔎Benzene carbons are sp² hybridized, giving bond angles of 120°, the same as trigonal planar geometry.
(a) BF₃, SO₃: Both have sp² hybridization (trigonal planar geometry).
(b) BF₃, NH₃: BF₃ has sp² hybridization, while NH₃ has sp³ hybridization.
(c) CH₃⁺, BF₃: Both have sp² hybridization (trigonal planar geometry).
🔎In molecular oxygen (O₂), each oxygen atom forms one sigma bond and has two lone pairs.This corresponds to three electron domains, which means the hybridization is sp².
🔎 Bond length is largest when orbitals have the least s-character. Since sp³ has only 25% s-character, sp³–sp³ overlap produces the longest bond.
🔎 In OF₂, oxygen forms 2 bonds with fluorine and retains 2 lone pairs, giving a bent geometry.
🔎 A water molecule can donate 2 hydrogen bonds (via its hydrogens) and accept 2 hydrogen bonds (via oxygen’s lone pairs). Hence, the maximum is 4.
🔎Each molecular orbital can accommodate a maximum of 2 electrons with opposite spins (Pauli Exclusion Principle), just like atomic orbitals.
(a) 100 g O₂ (Molar mass = 32 g/mol); n = 100/32 = 3.125 mol
(b) 100 g Cl₂ (Molar mass = 71 g/mol); n=100/71 = 1.41 mol
(c) 100 g CO₂ (Molar mass = 44 g/mol); n=100/44 = 2.27 mol
(d) 100 g CH₄ (Molar mass = 16 g/mol); n=100/16 = 6.25 mol
🔎 Since CH₄ has the lowest molar mass (16 g/mol), 100 g of it contains the largest number of moles and molecules.
🔎 Rate of diffusion ∝ 1 / √Molar mass → lighter gases diffuse faster.
Cl₂ → heaviest (Molar mass=71 g/mol) → slowest diffusion.
O₂ → 32 g/mol (Molar mass=32 g/mol) → moderate.
F₂ → 38 g/mol (Molar mass=38 g/mol) → slower than O₂.
N₂ → 28 g/mol (Molar mass=28 g/mol) → lightest → fastest diffusion. ✅
🔎 According to Graham’s Law, lighter gases diffuse faster. Since N₂ has the lowest molar mass (28 g/mol) among the options, it diffuses the fastest.
🔎 Liquefaction of gases is based on the Joule–Thomson effect, where expansion without heat exchange causes cooling, enabling gases to condense into liquids.
1 mole of H₂O molecules = 6.022×10²³ molecules (Avogadro’s number).
Each H₂O molecule contains 2 hydrogen atoms.
Therefore, total hydrogen atoms in 1 mole of H₂O = mole × Nᴀ × atomicity =
1 × 2 × 6.022 × 10²³ = 1.204 × 10²⁴
🔎 Since each water molecule has 2 hydrogens, one mole of water contains twice Avogadro’s number of hydrogen atoms.
🔎 All three molecules (PCl₃, SO₃²⁻, NH₃) have 3 bond pairs and 1 lone pair on the central atom, giving a trigonal pyramidal geometry.
🔎 With 3 bond pairs and 1 lone pair, the electron geometry is tetrahedral, but the molecular shape is pyramidal due to lone pair repulsion.
🔎 The Debye is a small unit of dipole moment, and in SI units it equals 3.33 × 10⁻³⁰coulomb·meter.
🔎 N₂ has a triple bond (one σ + two π bonds), giving a bond order of 3, which explains its high stability and inertness.
🔎 1 mole NaCl = 1 mole Na⁺ + 1 mole Cl⁻ = 2 × 6.022 × 10²³ = 1.204 × 10²⁴ ions.
🔎 Number of C atoms = n × Nᴀ × atomicity = 1 × 6.022 × 10²³ × 6 = 36.132 × 10²³ ≈ 36 × 10²³
🔎 No. of atoms in 9g H₂O (18 g)= n × Nᴀ × atomicity = 9/18 × Nᴀ × 3 = 1.5 Nᴀ atoms✅Maximum Number of atoms
🔎 No. of atoms in 6 g C (12 g) = n × Nᴀ × atomicity = 6/12 × Nᴀ × 1 = 0.5 Nᴀ atoms
🔎 No. of atoms in 7 g N₂ (14 g)= n × Nᴀ × atomicity = 7/14 × Nᴀ × 2 = 1 Nᴀ atoms
🔎 No. of atoms in 3 g He (4 g) = n × Nᴀ × atomicity = 3/4 × Nᴀ × 1 = 0.75 Nᴀ atoms
🔎 SI prefixes scale by powers of 10. Mega = 10⁶, Giga = 10⁹, Peta = 10¹⁵, and Exa = 10¹⁸. Since 10¹⁵matches peta, that’s the right prefix.
🔎 Mass of one electron is 9.11 × 10⁻³¹kg
Mass of one mole (6.02 × 10²³) electron is = 9.11 × 0⁻³¹× 6.02 × 10²³ = 54.84 × 10⁻⁸ kg or 5.5 × 10⁻⁷ kg
Mass of one mole of electron in mg = 5.5 × 10⁻⁷ kg × 1 × 106 = 5.5 × 10⁻¹ mg or 0.55 mg
🔎 Each mole of CaCl₂ produces 3 ions per formula unit, so the total number of ions = 3 × Avogadro’s number (3 × 6.02 × 10²³ = 18.06 × 10²³).
🔎 Sodium (Na) has atomic number 11, so its electron configuration is 1s², 2s², 2p⁶, 3s¹
The last electron enters the 3s orbital.
For any s orbital, the azimuthal quantum number (ℓ) = 0
So the correct value of ℓ for the last electron of sodium is 0.
🔎 The valence configuration is ns²np⁵. This corresponds to halogens of group VIIA. All elements given are included in halogens. Fluorine is a first halogen having same valence shell electron configuration.
🔎 The Aufbau principle follows the order of increasing (n+l) value. If two subshells have the same (n+l) value, the one with the lower 'n' is filled first.
4s: n + ℓ = 4+0 = 4 (lowest n + ℓ) → filled first
3d: n + ℓ = 3+2 = 5
4p: n + ℓ = 4+1 = 5
So, 4s (lowest n + ℓ) is filled first. Then, between 3d and 4p (both n+ ℓ =5), 3d (lower n=3) is filled before 4p (n=4).
The order of filling electrons = 4s → 3d → 4p.
🔎 The total number of orbitals for a given principal quantum number n is given by n².
Hence for n = 5, the number of possible orbitals is 5² i.e. 25
🔎 n = 4 → Principal quantum number (energy level = 4)
ℓ = 3 → Azimuthal quantum number → f → So this is an f orbital
mₗ = –2 → Magnetic quantum number → Valid for ℓ = 3, since mₗ ranges from –3 to +3 (–3, –2, –1, 0, +1, +2, +3) → so –2 is valid
So the orbital is: 4f
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