Question

For the reaction
$2 straight A left parenthesis straight g right parenthesis space plus space straight B left parenthesis straight g right parenthesis space space space rightwards arrow space space space 2 straight D left parenthesis straight g right parenthesis increment straight U to the power of 0 space equals space minus 10.5 space kJ space and space increment straight S to the power of 0 space equals space minus 44.1 space JK to the power of negative 1 end exponent.$

Calculate $increment straight G to the power of 0$ for the reaction and predict whether the reaction may occur spontaneously.

Solution

We know,
$<pre>uncaught exception: Http Error #404 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 #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>$ $Here comma space space increment straight U to the power of 0 space equals space minus 10.5 space kJ semicolon space space straight R space equals space 8.314 space cross times space 10 to the power of negative 3 end exponent kJ semicolon space space straight T space equals space 298 space straight K$
$increment ng space equals space straight n subscript straight p space minus space straight n subscript straight r space equals space 2 minus 3 space equals space minus 1$
Substituting the values in equation (1), we get
 $increment straight H to the power of 0 space equals space minus 10.5 space kJ plus left parenthesis negative 1 right parenthesis thin space left parenthesis 8.314 space cross times space 10 to the power of negative 3 end exponent space kJ space left parenthesis 298 right parenthesis space space space space space space space equals negative 10.5 space minus 2.48 space equals negative 12.198 space kJ$
According to Gibb's Helmholtz equation,
 $space space space space space increment straight G to the power of 0 space equals space increment straight H to the power of 0 space minus space straight T increment straight S to the power of 0 therefore space space space increment straight G to the power of 0 space equals space minus 12.98 space kJ space minus space 298 left parenthesis negative 44.1 space cross times space 10 to the power of negative 3 end exponent kJ right parenthesis space space space space space space space space space space space space space equals space minus 12.98 space kJ space plus space 13.14 space kJ space equals space 0.16 space space kJ$
Since ∆G⁰ is positive, the reaction will not occur spontaneously.

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Thermodynamics

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