-->

Thermodynamics

Question
CBSEENCH11006238

Define entropy and entropy change. What are the units of entropy?

Solution

The degree of randomness or disorderliness is expressed by a thermodynamic function called entropy. It may be defined as the property of a system which measures the degree of randomness or disorderliness in the system. It is denoted by S. It is a state function. It depends only on the initial and final state of the system and not on the path followed.
If SA and SB are the entropies at state A and B, then entropy change ∆S is given by
<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>
For a chemical reaction, 
increment straight S space equals space sum for blank of straight S subscript Products space minus space sum for blank of straight S subscript Reactants
For a reversible process at equilibrium, the change in entropy may be expressed as,
increment straight S space equals space straight q subscript rev over straight T
Where qrev represents the total heat absorbed reversibly and isothermally at temperature T.

 A small change in entropy can be represented by dS since entropy is a state function. Thus, we may write
dS space equals space straight delta subscript straight q subscript rev end subscript over straight T
Units of entropy: The entropy change is expressed in terms of heat divided by absolute temperature. Thus entropy is expressed in terms of calories per degree i.e. cal deg–1 . This unit is called entropy unit i.e. e.u. In S.I. units, it is expressed in Joules per degree Kelvin i.e. JK–1 . ∆S is an extensive property and therefore its value depends on upon the amount of the substance involved. Therefore, units of entropy will be JK–1 mol–1.