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Equilibrium

Question
CBSEENCH11006541

0·049g H2SO4 acid is dissolved in water to prepare 200 ml solution. Calculate the pH of the solution.

Solution
<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>
Since H2SO4 is strong acid, it is completely dissociated, one mole H2SO4 produces two moles of H+ ions,
straight H subscript 2 SO subscript 4 space space rightwards arrow with water on top space space 2 straight H to the power of plus left parenthesis aq right parenthesis space plus space SO subscript 4 superscript negative 2 end superscript left parenthesis aq right parenthesis
open square brackets straight H to the power of plus close square brackets space equals space 2 open square brackets straight H subscript 2 SO subscript 4 close square brackets
space space space space space space space space equals space 2 space cross times space 0.0025
space space space space space space space space equals space 0.005 space straight M
space space space space space space space space space equals space 5 space cross times space 10 to the power of negative 3 end exponent straight M
We space know comma space
space space space pH space equals space minus log space open square brackets straight H to the power of plus close square brackets space equals space minus log space open square brackets 5 space cross times space 10 to the power of negative 3 end exponent close square brackets
space space space space space space space space equals negative open square brackets log space 5 space plus space log space 10 to the power of negative 3 end exponent close square brackets
space space space space space space space space equals negative open square brackets log space 5 space minus space 3 space log space 10 close square brackets
space space space space space space space space equals space minus space open square brackets 0.6990 plus 3 close square brackets
therefore space space pH space equals space 2.301