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Byju's Answer

Standard XII

Physics

The State of a Gas

In the proces...

Question

In the process ABC for an ideal mono-atomic gas, the temperature at states A and C are equal. The heat released in the process BC is $Q$ . Then the work done in the process A to B is equal to ____. (AB is isobaric and BC is isochoric process)

Q

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\frac{Q}{2}

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\frac{2 Q}{3}

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\frac{3 Q}{2}

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Solution

The correct option is C $\frac{2 Q}{3}$
$T_{A} = T_{C}$
So the process AC is isothermal.
$∴ Δ U_{A C} = 0$

As, $△ U_{B C} = - Q$ and
$△ U_{A C} = △ U_{A B} + △ U_{B C}$
$\Rightarrow △ U_{A B} = Q$

For, monatomic gas $f = 3$
$\Rightarrow △ U_{A B} = n \frac{f}{2} R △ T = Q$

$W_{A B} = n R △ T = 2 \frac{Q}{f} = \frac{2 Q}{3}$

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In the process ABC for an ideal mono-atomic gas, the temperature at states A and C are equal. The heat released in the process BC is Q. Then the work done in the process A to B is equal to ____. (AB is isobaric and BC is isochoric process)

The correct option is C 2Q3TA=TC So the process AC is isothermal. ∴ ΔUAC=0 As, △UBC=−Q and △UAC=△UAB+△UBC ⇒△UAB=Q For, monatomic gas f=3 ⇒△UAB=nf2R△T=Q WAB=nR△T=2Qf=2Q3

In the process ABC for an ideal mono-atomic gas, the temperature at states A and C are equal. The heat released in the process BC is $Q$ . Then the work done in the process A to B is equal to ____. (AB is isobaric and BC is isochoric process)