A liquid when kept inside a thermally insulated closed vessel at 25°C was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters? [2025]

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Solution

Q.
A liquid when kept inside a thermally insulated closed vessel at 25°C was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters [2025]

1 $Δ U = 0, q < 0, w > 0$

2 $Δ U > 0, q = 0, w > 0$

3 $Δ U < 0, q = 0, w > 0$

4 $Δ U = 0, q = 0, w = 0$

Ans.
(2)

Since work is done on the system, it is positive, $w > 0$ .

Since vessel is thermally insulated, $q = 0$ .

By first law of thermodynamics

$Δ U = q + w$

$Δ U = 0 + w = w$

As $w > 0$ , $Δ U > 0$

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