Question

In an adiabatic process, no transfer of heat takes place
between system and surroundings. Choose the correct
option for free expansion of an ideal gas under adiabatic
condition from the following.
(a) q = 0, ∆T ≠ 0, W = 0 (b) q ≠ 0, ∆T = 0, W = 0
(c) q = 0, ∆T = 0, W = 0 (d) q = 0, ∆T < 0, W ≠ 0

Answer 1

Answer:

The correct answer is option (c) q = 0, ∆T = 0, W = 0

Answer 2

The correct  option for free expansion of an ideal gas under adiabatic

condition is $\bold{q=0,\Delta T =0,W =0}$

Step by step explanation:

$\bold{q=0,\Delta T =0,W =0}$

Adiabatic process ,q =0

Free expansion, W = 0

According to the thermodynamics,

Mathematical expression for the Internal energy is as follows.

                               $\bold{\Delta\,U=q+W}$.......................(1)

Substitute the given values in the equation (1)

                                    $\Rightarrow 0+0=0$

No change in internal energy,temperature will also constant.

Therefore, , $\Delta\,T=0$

Hence, correct option is "c".

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