Water is the working fluid used in Kota thermal power plant for generating electricity. Coal is combusted for generating heat as per reaction, $C + O_{2} ⟶ {CO}_{2}, 0.01 %$ of the released ${CO}_{2}$ gas is absorbed in water and gets converted to weak acid, $H_{2} {CO}_{3}$ which dissociated to give $H^{+}$ as $2 H^{+} + {CO}_{3}^{2 -} 2 H^{+} + {CO}_{3}^{2 -}$ . The percentage dissociation of acid is 5%. Assume no ionisation of water. From this information answer the questions. If in a certain application [ $H^{+}$ ]concentration can maximum be 10-5 M, then
(P) Calculate maximum moles of $H^{+}$ (x) and ${CO}_{3}^{2 -}$ (y) in the water if $10^{9}$ litres of $H_{2} O$ is used.
(Q) Calculate maximum moles of carbon (z) which can be bu.mt so that water remains fit to be ed.
Hence, write the value of $({xy}^{2} / z)$ .

Question

Water is the working fluid used in Kota thermal power plant for generating electricity. Coal is combusted for generating heat as per reaction, $C + O_{2} ⟶ {CO}_{2}, 0.01 %$ of the released ${CO}_{2}$ gas is absorbed in water and gets converted to weak acid, $H_{2} {CO}_{3}$ which dissociated to give $H^{+}$ as $2 H^{+} + {CO}_{3}^{2 -} 2 H^{+} + {CO}_{3}^{2 -}$ . The percentage dissociation of acid is 5%. Assume no ionisation of water. From this information answer the questions. If in a certain application [ $H^{+}$ ]concentration can maximum be 10-5 M, then
(P) Calculate maximum moles of $H^{+}$ (x) and ${CO}_{3}^{2 -}$ (y) in the water if $10^{9}$ litres of $H_{2} O$ is used.
(Q) Calculate maximum moles of carbon (z) which can be bu.mt so that water remains fit to be ed.
Hence, write the value of $({xy}^{2} / z)$ .

Infinity Learn · Accepted Answer

3H2CO3⟶2H++CO32−(P) H2CO3→2H2a++CO32−a2a=10−5⇒ a=12×10−5nH+=10−5×109; nCO32−=12×10−5×109x=104 y=5×103(Q) H2CO3b→2H++CO32−b(1−0.05) 0.1×b=104 0.05b ⇒b=105 moleCO2+H2O→H2CO3105 moles is absorbed.∴ Released CO2=1050.01×100=109 moles ∴ Moles of C that can be burnt =109xy2z=104×25×106109=250

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