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Equilibrium

Question
CBSEENCH11006397

Write the equilibrium constant expression for the following reactions:

left parenthesis straight i right parenthesis space BaCO subscript 3 left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space space BaO left parenthesis straight s right parenthesis space plus space CO subscript 2 left parenthesis straight g right parenthesis
left parenthesis ii right parenthesis space AgBr left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space Ag to the power of plus left parenthesis aq right parenthesis space plus space Br to the power of minus left parenthesis aq right parenthesis
left parenthesis iii right parenthesis space Al left parenthesis straight s right parenthesis plus space 3 straight H to the power of plus left parenthesis aq right parenthesis space space space rightwards harpoon over leftwards harpoon space space space space Al to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space 3 over 2 straight H subscript 2 left parenthesis straight g right parenthesis

Solution
left parenthesis straight i right parenthesis space BaCO subscript 3 left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space space BaO left parenthesis straight s right parenthesis space plus space CO subscript 2 left parenthesis straight g right parenthesis
space space space space space straight K subscript straight c space equals space fraction numerator open square brackets BaO left parenthesis straight s right parenthesis close square brackets space open square brackets CO subscript 2 left parenthesis straight g right parenthesis close square brackets over denominator open square brackets BaCO subscript 3 left parenthesis straight s right parenthesis close square brackets end fraction
By convention, <pre>uncaught exception: <b>Http Error #404</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php line 61<br />#0 [internal function]: com_wiris_plugin_impl_HttpImpl_0(Object(com_wiris_plugin_impl_HttpImpl), NULL, 'http://www.wiri...', 'Http Error #404')
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('com_wiris_plugi...', Array)
#2 [internal function]: _hx_lambda->execute('Http Error #404')
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(532): call_user_func_array(Array, Array)
#4 [internal function]: haxe_Http_5(true, Object(com_wiris_plugin_impl_HttpImpl), Object(com_wiris_plugin_impl_HttpImpl), Array, Object(haxe_io_BytesOutput), true, 'Http Error #404')
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('haxe_Http_5', Array)
#6 [internal function]: _hx_lambda->execute('Http Error #404')
#7 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(27): call_user_func_array(Array, Array)
#8 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(444): com_wiris_plugin_impl_HttpImpl->onError('Http Error #404')
#9 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(458): haxe_Http->customRequest(true, Object(haxe_io_BytesOutput), NULL, NULL)
#10 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(40): haxe_Http->request(true)
#11 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(80): com_wiris_plugin_impl_HttpImpl->request(true)
#12 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#13 {main}</pre>

Hence  straight K subscript straight c space equals space fraction numerator open square brackets BaO left parenthesis straight s right parenthesis close square brackets space open square brackets CO subscript 2 left parenthesis straight g right parenthesis close square brackets over denominator open square brackets BaCO subscript 3 left parenthesis straight s right parenthesis close square brackets end fraction
By convention, open square brackets BaO left parenthesis straight s right parenthesis close square brackets space equals space 1 comma space space open square brackets BaCO subscript 3 left parenthesis straight s right parenthesis close square brackets space equals space 1
  Hence comma space straight K subscript straight c space equals space open square brackets CO subscript 2 left parenthesis straight g right parenthesis close square brackets
For gases, using partial pressures,
left parenthesis ii right parenthesis space AgBr left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space Ag to the power of plus left parenthesis aq right parenthesis space plus space Br to the power of minus left parenthesis aq right parenthesis
space space space space space space space space straight K subscript straight c space equals space fraction numerator open square brackets Ag to the power of plus left parenthesis aq right parenthesis close square brackets space open square brackets Br to the power of minus left parenthesis aq right parenthesis close square brackets over denominator open square brackets AgBr left parenthesis straight s right parenthesis close square brackets end fraction
By convention,    open square brackets Ag space Br space left parenthesis straight s right parenthesis close square brackets space equals space 1
Hence space straight K subscript straight c space equals space open square brackets Ag to the power of plus left parenthesis aq right parenthesis close square brackets space open square brackets Br to the power of minus left parenthesis aq right parenthesis close square brackets

left parenthesis iii right parenthesis space Al left parenthesis straight s right parenthesis plus space 3 straight H to the power of plus left parenthesis aq right parenthesis space space rightwards harpoon over leftwards harpoon space space space Al to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space 3 over 2 straight H subscript 2 left parenthesis straight g right parenthesis
space straight K subscript straight c space equals space fraction numerator open square brackets Al to the power of 3 plus end exponent left parenthesis aq right parenthesis close square brackets space open square brackets straight H subscript 2 left parenthesis straight g right parenthesis close square brackets to the power of 3 divided by 2 end exponent over denominator open square brackets Al left parenthesis straight s right parenthesis close square brackets space straight H squared left parenthesis aq right parenthesis right square bracket cubed end fraction
By convention, open square brackets Al left parenthesis straight s right parenthesis close square brackets space equals space 1
Hence straight K subscript straight c space equals space fraction numerator open square brackets Al to the power of 3 plus end exponent left parenthesis aq right parenthesis close square brackets space open square brackets straight H subscript 2 left parenthesis straight g right parenthesis close square brackets to the power of 3 divided by 2 end exponent over denominator open square brackets straight H to the power of plus left parenthesis aq right parenthesis close square brackets cubed end fraction