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Page No 228: - Chapter 7 Equilibrium class 11 ncert solutions Chemistry - SaraNextGen [2024-2025]


Updated By SaraNextGen
On April 24, 2024, 11:35 AM

Question 7.31:

Dihydrogen gas used in Haber’s process is produced by reacting methane from natural gas with high temperature steam. The first stage of two stage reaction involves the formation of CO and H2. In second stage, CO formed in first stage is reacted with more steam in water gas shift reaction,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8184/Grade%2011_Chapter%207_html_4e37bbc5.gif

If a reaction vessel at 400°C is charged with an equimolar mixture of CO and steam such that https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8184/Grade%2011_Chapter%207_html_m752b8d44.gif 4.0 bar, what will be the partial pressure of H2 at equilibrium? Kp= 10.1 at 400°C

Answer:

Let the partial pressure of both carbon dioxide and hydrogen gas be p. The given reaction is:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8184/Grade%2011_Chapter%207_html_304b9439.gif

It is https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8184/Grade%2011_Chapter%207_html_m3117ef89.gif

Now,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8184/Grade%2011_Chapter%207_html_53bf30f9.gif

Hence, at equilibrium, the partial pressure of H2 will be 3.04 bar.

Question 7.32:

Predict which of the following reaction will have appreciable concentration of reactants and products:

a) https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8132/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m73613d9d.gif

b) https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8132/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_7b2bec61.gif

c) https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8132/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_1e3a7f4f.gif

Answer:

If the value of Klies between 10–3 and 103, a reaction has appreciable concentration of reactants and products. Thus, the reaction given in (c) will have appreciable concentration of reactants and products.

Question 7.33:

The value of Kc for the reaction

3O2 (g) https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8133/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m71c07a82.gif  2O3 (g)

is 2.0 ×10–50 at 25°C. If the equilibrium concentration of O2 in air at 25°C is 1.6 ×10–2, what is the concentration of O3?

Answer:

The given reaction is:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8133/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_179fb177.gif

Then, we have,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8133/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_26c90128.gif

Hence, the concentration ofhttps://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8133/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m2a8c872.gif

Question 7.34:

The reaction, CO(g) + 3H2(g)https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8134/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m84a1fae.gif CH4(g) + H2O(g) is at equilibrium at 1300 K in a 1L flask. It also contain 0.30 mol of CO, 0.10 mol of H2 and 0.02 mol of H2O and an unknown amount of CH4 in the flask. Determine the concentration of CH4 in the mixture. The equilibrium constant, Kc for the reaction at the given temperature is 3.90.

Answer:

Let the concentration of methane at equilibrium be x.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8134/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m56c61ceb.gif

It is given that Kc = 3.90.

Therefore,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8134/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m2923fb5e.gif

Hence, the concentration of CH4 at equilibrium is 5.85 × 10–2 M.

Question 7.35:

What is meant by the conjugate acid-base pair? Find the conjugate acid/base for the following species:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8135/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_27e5b17a.gif

Answer:

A conjugate acid-base pair is a pair that differs only by one proton.

The conjugate acid-base for the given species is mentioned in the table below.

Species

Conjugate acid-base

HNO2

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8135/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m4ffb614.gif

CN

HCN (acid)

HClO4

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8135/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_73ffb0f7.gif

F

HF (acid)

OH

H2O (acid) /O2– (base)

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8135/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3265533a.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8135/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m39bdcb39.gif

S2–

HS (acid)

Which of the followings are Lewis acids? H2O, BF3, H+, and https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8136/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3761e751.gifQuestion 7.36:

Answer:

Lewis acids are those acids which can accept a pair of electrons. For example, BF3, H+, and https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8136/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3761e751.gif are Lewis acids.

Question 7.37:

What will be the conjugate bases for the Brönsted acids: HF, H2SO4 and HCO3?

Answer:

The table below lists the conjugate bases for the given Bronsted acids.

Bronsted acid

Conjugate base

HF

F

H2SO4

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8137/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_1380b916.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8137/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3eb9913e.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8137/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3265533a.gif

Write the conjugate acids for the following Brönsted bases: NH2, NH3 and HCOO.Question 7.38:

Answer:

The table below lists the conjugate acids for the given Bronsted bases.

Bronsted base

Conjugate acid

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8138/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_24202f48.gif

NH3

NH3

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8138/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m63177667.gif

HCOO

HCOOH

The species: H2O,https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_54719ccb.gif , and NH3 can act both as Brönsted acids and bases. For each case give the corresponding conjugate acid and base.Question 7.39:

Answer:

The table below lists the conjugate acids and conjugate bases for the given species.


 

Species

Conjugate acid

Conjugate base

H2O

H3O+

OH

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3eb9913e.gif

H2CO3

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3265533a.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_1380b916.gif

H2SO4

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_18da124d.gif

NH3

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m63177667.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8139/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_24202f48.gif

Question 7.40:

Classify the following species into Lewis acids and Lewis bases and show how these act as Lewis acid/base: (a) OH (b) F (c) H+ (d) BCl3.

Answer:

(a) OH is a Lewis base since it can donate its lone pair of electrons.

(b) F is a Lewis base since it can donate a pair of electrons.

(c) H+ is a Lewis acid since it can accept a pair of electrons.

(d) BCl3 is a Lewis acid since it can accept a pair of electrons.

Question 7.41:

The concentration of hydrogen ion in a sample of soft drink is 3.8 × 10–3 M. what is its pH?

Answer:

Given,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8141/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_2b32a34.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8141/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_4dd19828.gif pH value of soft drink

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8141/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m2916a841.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8141/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m29a2fd69.gif

Question 7.42:

The pH of a sample of vinegar is 3.76. Calculate the concentration of hydrogen ion in it.

Answer:

Given,

pH = 3.76

It is known that,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8142/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_1d3e74b0.gif

Hence, the concentration of hydrogen ion in the given sample of vinegar is 1.74 × 10–4 M.

Question 7.43:

The ionization constant of HF, HCOOH and HCN at 298K are 6.8 × 10–4, 1.8 × 10–4 and 4.8 × 10–9 respectively. Calculate the ionization constants of the corresponding conjugate base.

Answer:

It is known that,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m19091b3f.gif

Given,

Ka of HF = 6.8 × 10–4

Hence, Kb of its conjugate base F

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_665e28c2.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_73149232.gif

Given,

Ka of HCOOH = 1.8 × 10–4

Hence, Kb of its conjugate base HCOO

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_665e28c2.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_3380ba25.gif

Given,

Ka of HCN = 4.8 × 10–9

Hence, Kb of its conjugate base CN

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_665e28c2.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8143/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m7ec75c47.gif

Question 7.44:

The ionization constant of phenol is 1.0 × 10–10. What is the concentration of phenolate ion in 0.05 M solution of phenol? What will be its degree of ionization if the solution is also 0.01M in sodium phenolate?

Answer:

Ionization of phenol:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8144/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m456dbaf9.gif

Now, let ∝ be the degree of ionization of phenol in the presence of 0.01 M C6H5ONa.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8144/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m14713bad.gif

Also,

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8144/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_7d82bde3.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8144/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m29f055a5.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8144/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m2e00d705.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8144/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_9ee974f.gif

Question 7.45:

The first ionization constant of H2­­S is 9.1 × 10–8. Calculate the concentration of HS ion in its 0.1 M solution. How will this concentration be affected if the solution is 0.1 M in HCl also? If the second dissociation constant of H2S is 1.2 × 10–13, calculate the concentration of S2– under both conditions.

Answer:

(i) To calculate the concentration of HS ion:

Case I (in the absence of HCl):

Let the concentration of HS be M.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_51ef1b10.gif

Case II (in the presence of HCl):

In the presence of 0.1 M of HCl, let https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_6ed8c0c0.gif  be M.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_55163056.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m628a1d7b.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m7685c26f.gif

(ii) To calculate the concentration ofhttps://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m4a28e9f4.gif :

Case I (in the absence of 0.1 M HCl):

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_684962b8.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m1bc0c4f0.gif  (From first ionization, case I)

Let https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m47da866b.gif

Also, https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m2a169dd1.gif  (From first ionization, case I)

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m3b6b34b0.gif

Case II (in the presence of 0.1 M HCl):

Again, let the concentration of HS– be X’ M.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m338332b1.gif  (From first ionization, case II)

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m4a200569.gif  (From HCl, case II)

https://img-nm.mnimgs.com/img/study_content/curr/1/11/13/200/8145/NS_06-11-08_Utpal_11_Chemstry_7_73_GSX_SG_html_m6ec621d3.gif

Also Read : Page-No-229:-Chapter-7-Equilibrium-class-11-ncert-solutions-Chemistry

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