Chemistry - Ideal Gas Question with Solution | TestHub

A bulb of constant volume is attached to a very thin manometer tube as shown in the figure. Gas starts leaking through a small hole in the bulb, causing a change in pressure as:

$$\frac{dp}{dt}=-k{P}^2$$

Where $k$ is a constant and $P$ is the pressure at any instant.

The initial height difference, $h$, was 76 cm, and after 10 min, $h$ was 38 cm.

Then, the value of $k$ in atm⁻¹ hr⁻¹ is: