Question

Two Carnot engines A and B are operated in series. The engine A receives heat at T₁= 900K and rejects to a reservoir at temperature T₂. The engine B receives the heat from T₂ and rejects to heat sink at 300K. Find T₂ so that output work of the two engines is equal.

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

For engine A:

space space space straight W subscript straight A equals straight eta subscript straight A straight Q subscript 1 space equals space open parentheses fraction numerator straight T subscript 1 minus straight T subscript 2 over denominator straight T subscript 1 end fraction close parentheses straight Q subscript 1

For engine B:

straight W subscript straight B equals straight eta subscript straight B straight Q subscript 2 space equals space open parentheses fraction numerator straight T subscript 2 minus straight T subscript 3 over denominator straight T subscript 2 end fraction close parentheses straight Q subscript 2

Since

straight W subscript straight A space equals space straight W subscript straight B

∴

open parentheses fraction numerator straight T subscript 1 minus straight T subscript 2 over denominator straight T subscript 1 end fraction close parentheses straight Q subscript 1 space equals space open parentheses fraction numerator straight T subscript 2 minus straight T subscript 3 over denominator straight T subscript 2 end fraction close parentheses straight Q subscript 2

rightwards double arrow

<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /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) #6 {main}</pre>

Also,

straight Q subscript 1 over straight Q subscript 2 equals straight T subscript 1 over straight T subscript 2

Here,

straight T subscript 1 minus straight T subscript 2 space equals space straight T subscript 2 minus straight T subscript 3

This implies,

<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /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) #6 {main}</pre>

For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

Two Carnot engines A and B are operated in series. The engine A receives heat at T₁= 900K and rejects to a reservoir at temperature T₂. The engine B receives the heat from T₂ and rejects to heat sink at 300K. Find T₂ so that output work of the two engines is equal.

Some More Questions From Mechanical Properties of Fluids Chapter

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Define temperature.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location

For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

Two Carnot engines A and B are operated in series. The engine A receives heat at T1= 900K and rejects to a reservoir at temperature T2. The engine B receives the heat from T2 and rejects to heat sink at 300K. Find T2 so that output work of the two engines is equal.

Some More Questions From Mechanical Properties of Fluids Chapter

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Define temperature.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Two Carnot engines A and B are operated in series. The engine A receives heat at T₁= 900K and rejects to a reservoir at temperature T₂. The engine B receives the heat from T₂ and rejects to heat sink at 300K. Find T₂ so that output work of the two engines is equal.