First slide

Heat ;work and internal energy

Question

Three different processes that can occur in an ideal monoatomic gas are shown in the $P v s V$ diagram. The paths are labeled as $A \to B, A \to C$ and $A \to D$ . The change in internal energies during these process are taken as $E_{A B}, E_{A C}$ and $E_{AD}$ and the work done as $W_{A B}, W_{A C}$ and $W_{A D}$ .The correct relation between these parameters are:

Easy

A

$E_{A B} = E_{A C} = E_{A D}, W_{A B} > 0, W_{A C} = 0, W_{A D} < 0$
B

$E_{A B} > E_{A C} > E_{A D}, W_{A B} < W_{A C} < W_{A D}$
C

$E_{A B} < E_{A C} < E_{A D}, W_{A B} > 0, W_{A C} > W_{A D}$
D

$E_{A B} = E_{A C} < E_{A D}, W_{A B} > 0, W_{A C} = 0, W_{A D} < 0$

Solution

Clearly $E_{A} = E_{B} = E_{C}$ as change in temperature is same
$\begin{array}{l} W_{AC} =0 ∵ V remains same \\ W_{AB} > 0 ∵ V Increases \\ W_{AD} < 0 ∵ V Decreases \end{array}$

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