Question

A gas is contained in a thick-walledballoon. When the pressure changesfrom 1417 psi topsi, thevolume changes from 0.145 L to0.878 L and the temperaturechanges from 287 K to 196 K.

Answer 1

Explanation:

We are given: initial pressure = 1417 psi

: initial volume = 0.145 L, final volume = 0.878 L

: initial temperature = 287 K, final temperature = 196 K

To find the final pressure, we use the combined gas law:

$\begin{gathered} \frac{P_1V_1}{T_1}\text{ = }\frac{P_2V_2}{T_2} \\ \\ \therefore P_2\text{ = }\frac{P_1V_1T_2}{T_1V_2}\text{ = }\frac{1417\times0.145\times196}{287\times0.878}\text{ = 159.81 psi} \end{gathered}$