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Page No 41: - Chapter 2 - Solutions - Exercise Solutions - Ncert Solutions class 12 - Chemistry


Question 2.6:

H2S, a toxic gas with rotten egg like smell, is used for the qualitative analysis. If the solubility of H2S in water at STP is 0.195 m, calculate Henry’s law constant.

Answer:

It is given that the solubility of H2S in water at STP is 0.195 m, i.e., 0.195 mol of H2S is dissolved in 1000 g of water.

Moles of water https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6108/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_5521aad8.gif

= 55.56 mol

∴Mole fraction of H2S, xhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6108/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_m4ff229e0.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6108/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_4ac01d97.gif

= 0.0035

At STP, pressure (p) = 0.987 bar

According to Henry’s law:

p = KHx

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6108/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_70f65685.gif

= 282 bar

Question 2.7:

Henry’s law constant for CO2 in water is 1.67 × 108 Pa at 298 K. Calculate the quantity of CO2 in 500 mL of soda water when packed under 2.5 atm CO2 pressure at 298 K.

Answer:

It is given that:

KH = 1.67 × 108 Pa

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_m1501b261.gif  = 2.5 atm = 2.5 × 1.01325 × 105 Pa

= 2.533125 × 105 Pa

According to Henry’s law:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_m1991adad.gif

= 0.00152

We can write, https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_6081c2db.gif

[Since, https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_12ffb063.gif is negligible as compared tohttps://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_4cb78f2d.gif ]

In 500 mL of soda water, the volume of water = 500 mL

[Neglecting the amount of soda present]

We can write:

500 mL of water = 500 g of water

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_3a1cd9f4.gif

= 27.78 mol of water

Now,

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_m4f60632c.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/17/261/6112/NCERT(INTEXT)_18-11-08)_Utpal_12_Chemistry_2_12_html_21a24334.gif

Hence, quantity of CO2 in 500 mL of soda water = (0.042 × 44)g

= 1.848 g