Please answer 7 , 8 , 10 and 11 questions!
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this is the answer of question number 7 and 8
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Oxidation numbers (usually same as valency)
7. a) H4 P2 O7
Oxidation numbers of H= +1, O = -2, Compound = 0 (neutral).
Oxidation number of Phosphorus = x.
4 * 1 + 2 * x - 7 * 2 = 0 => x = 5
b) Na B H4 = Na⁺ & BH₄⁻
Oxidation numbers: Na = 1, So oxidation number of BH₄ = -1
Here Hydrogen has an oxidation number -1, as it gets one electron from Boron.
Oxidation number of Boron = x.
So x - 4 * 1 = -1 => x = +3
c) CrO5
Oxidation number of O = -2. Overall = 0.
So x + 5 * (-2) = 0 => x = 10
Chromium has an oxid.num = +10.
===================
11. Iron Oxide Feₐ Oₓ = Neutral compound
"a" number of atoms of Iron combined with "x" atoms of Oxygen.
Mass of the molecule = a * 56 + x * 16
% of Fe in the compound by mass = 56a /(56a+16x) * 100
Given 7a/(7a+2x) = 69.9/100 => 30.1 * 7a = 2 * 69.9 x ---(1)
So a/x = 0.66 = 2/3 approximately
So 3 a = 2 x => a = 2, x = 3 are smallest integers satisfying it.
So formula: Fe₂ O₃
It is the Ferric Oxide or Iron (III) Oxide.
===
Q8. Equilibrium constants:
2 NO Cl (g) ⇔ 2 NO (g) + Cl₂ (g)
2x moles 0 0 : at start
2x (1- α) 2x α xα moles : At Equilibrium
[NO] = 2xα/V ; [Cl₂] = xα/V ; [NOCl ] = 2x(1-α)/V
Let there be 2x moles of NOCl at the start in the container. Let α be the dissociation constant of the reaction at the given temperature. Let V be the volume of the container.
Kc = [ NO ]² [ Cl₂ ] / [ NOCl ]²
= [4 x³ α³/V³] / [4x² (1-α)²/V² ]
= x α³ / [V (1-α)²] = 3.75 * 10⁻⁶ mole/l ---- (1)
Total number of moles n = 2x(1-α)+ 2xα + xα = x(2+α)
Ideal gas law: P V = n R T
Total pressure in the container = P = x (2+α) R T/V, T = 1069°K
Partial pressures: p_NO = molefraction * total pressure
p_NO = 2xα P / [x(2+α)] = 2xα RT/V
p_Cl₂ = x α P / [x(2+α)] = xα RT/V
p_NOCL = 2x(1-α) P / [x(2+α)] = 2x(1-α) RT/V
=> Kp = [p_NO]² [ p_Cl₂ ] / [ p_NOCl ]²
= [ 4x³α³ R³ T³ / V³ ] / [ 4 x² (1-α)² R²T² /V² ]
= x α³ R T / [ V (1 - α)² ] ------ (2)
= Kc * R T using (1)
= 3.75 * 10⁻⁶ mol/l * 8.314 J/mol/°K * 1069°K
= 3.333 * 10⁻² J/liter
=====
Q10. Equilibrium constant (pressure) Kp = ? Hydrogen Iodide.
At the equilibrium, it is given
Total pressure P = 0.2 atm
Partial pressure P_HI = 0.04 atm
Molar ratio of HI = P_HI / P = 0.04/0.2 = 1/5
2 H I (g) ⇔ H₂ (g) + I₂ (g)
Molar ratio of HI is 1/5 at equilibrium. Also the number of moles of H2 and I2 are equal at the equilibrium (from the equation).
=> So molar ratio of H2 = [ 1 - 1/5 ] ÷ 2 = 2/5
=> of I2 = 2/5
=> Partial pressure of H2 = P_H2 = 2/5 * P
=> Partial pressure of I2 = P_I2 = 2/5 * P
Equilibrium constant = Kp = [ p_H₂ ] [ p_I₂ ] / [ p_HI ]²
Kp = [ 2/5 P * 2/5 P ] / [ 1/5 P ]²
= 4
Answer is Kp = 4 (no units)
7. a) H4 P2 O7
Oxidation numbers of H= +1, O = -2, Compound = 0 (neutral).
Oxidation number of Phosphorus = x.
4 * 1 + 2 * x - 7 * 2 = 0 => x = 5
b) Na B H4 = Na⁺ & BH₄⁻
Oxidation numbers: Na = 1, So oxidation number of BH₄ = -1
Here Hydrogen has an oxidation number -1, as it gets one electron from Boron.
Oxidation number of Boron = x.
So x - 4 * 1 = -1 => x = +3
c) CrO5
Oxidation number of O = -2. Overall = 0.
So x + 5 * (-2) = 0 => x = 10
Chromium has an oxid.num = +10.
===================
11. Iron Oxide Feₐ Oₓ = Neutral compound
"a" number of atoms of Iron combined with "x" atoms of Oxygen.
Mass of the molecule = a * 56 + x * 16
% of Fe in the compound by mass = 56a /(56a+16x) * 100
Given 7a/(7a+2x) = 69.9/100 => 30.1 * 7a = 2 * 69.9 x ---(1)
So a/x = 0.66 = 2/3 approximately
So 3 a = 2 x => a = 2, x = 3 are smallest integers satisfying it.
So formula: Fe₂ O₃
It is the Ferric Oxide or Iron (III) Oxide.
===
Q8. Equilibrium constants:
2 NO Cl (g) ⇔ 2 NO (g) + Cl₂ (g)
2x moles 0 0 : at start
2x (1- α) 2x α xα moles : At Equilibrium
[NO] = 2xα/V ; [Cl₂] = xα/V ; [NOCl ] = 2x(1-α)/V
Let there be 2x moles of NOCl at the start in the container. Let α be the dissociation constant of the reaction at the given temperature. Let V be the volume of the container.
Kc = [ NO ]² [ Cl₂ ] / [ NOCl ]²
= [4 x³ α³/V³] / [4x² (1-α)²/V² ]
= x α³ / [V (1-α)²] = 3.75 * 10⁻⁶ mole/l ---- (1)
Total number of moles n = 2x(1-α)+ 2xα + xα = x(2+α)
Ideal gas law: P V = n R T
Total pressure in the container = P = x (2+α) R T/V, T = 1069°K
Partial pressures: p_NO = molefraction * total pressure
p_NO = 2xα P / [x(2+α)] = 2xα RT/V
p_Cl₂ = x α P / [x(2+α)] = xα RT/V
p_NOCL = 2x(1-α) P / [x(2+α)] = 2x(1-α) RT/V
=> Kp = [p_NO]² [ p_Cl₂ ] / [ p_NOCl ]²
= [ 4x³α³ R³ T³ / V³ ] / [ 4 x² (1-α)² R²T² /V² ]
= x α³ R T / [ V (1 - α)² ] ------ (2)
= Kc * R T using (1)
= 3.75 * 10⁻⁶ mol/l * 8.314 J/mol/°K * 1069°K
= 3.333 * 10⁻² J/liter
=====
Q10. Equilibrium constant (pressure) Kp = ? Hydrogen Iodide.
At the equilibrium, it is given
Total pressure P = 0.2 atm
Partial pressure P_HI = 0.04 atm
Molar ratio of HI = P_HI / P = 0.04/0.2 = 1/5
2 H I (g) ⇔ H₂ (g) + I₂ (g)
Molar ratio of HI is 1/5 at equilibrium. Also the number of moles of H2 and I2 are equal at the equilibrium (from the equation).
=> So molar ratio of H2 = [ 1 - 1/5 ] ÷ 2 = 2/5
=> of I2 = 2/5
=> Partial pressure of H2 = P_H2 = 2/5 * P
=> Partial pressure of I2 = P_I2 = 2/5 * P
Equilibrium constant = Kp = [ p_H₂ ] [ p_I₂ ] / [ p_HI ]²
Kp = [ 2/5 P * 2/5 P ] / [ 1/5 P ]²
= 4
Answer is Kp = 4 (no units)
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