11.Thermodynamics
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$A$ અને $B$ બે ગૅસ માટે ગ્રાફ આપેલ છે.જ્યાં $\Delta Q_A$ અને $\Delta Q_B$ તંત્ર દ્વારા શોષાતી ઉષ્મા અને $\Delta U_A$ અને $\Delta U_B$ આંતરિક ઉષ્મામાં થતો ફેરફાર હોય તો નીચેનામાથી શું સાચું થાય?

A

$\Delta {Q_A}\, = \,\Delta {Q_B}\,;\,\Delta {U_A} = \Delta {U_B}$

B

$\Delta {Q_A}\, > \,\Delta {Q_B}\,;\,\Delta {U_A} = \Delta {U_B}$

C

$\Delta {Q_A}\, < \,\Delta {Q_B}\,;\,\Delta {U_A} < \Delta {U_B}$

D

$\Delta {Q_A}\, > \,\Delta {Q_B}\,;\,\Delta {U_A} > \Delta {U_B}$

(JEE MAIN-2019)

Solution

Initial and final states for both the processes are same,

$\therefore \Delta \mathrm{U}_{\mathrm{A}}=\Delta \mathrm{U}_{\mathrm{B}}$

Work done during process $A$ is greater than in process $B$. Because area is more 

By First law of thermodynamics

$\Delta Q=\Delta U+W$

$\Rightarrow \Delta \mathrm{Q}_{\mathrm{A}}>\Delta \mathrm{Q}_{\mathrm{B}}$

Standard 11
Physics

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