5/2/2025\nchemistry\n1. i have 1.5 l of a gas at 219 k and 5 atm. i compress it to 1.4 l at 293 k. what is…

Explanation:

Step1: Identify the combined - gas law formula

The combined - gas law is $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$, where $P_1$ is the initial pressure, $V_1$ is the initial volume, $T_1$ is the initial temperature, $P_2$ is the final pressure, $V_2$ is the final volume, and $T_2$ is the final temperature.

Step2: Rearrange the formula to solve for $P_2$

$P_2=\frac{P_1V_1T_2}{V_2T_1}$

Step3: Substitute the given values

Given $P_1 = 5$ atm, $V_1=1.5$ L, $T_1 = 219$ K, $V_2 = 1.4$ L, $T_2=293$ K. $P_2=\frac{5\times1.5\times293}{1.4\times219}$ $P_2=\frac{2197.5}{306.6}$ $P_2\approx7.17$ atm

Answer:

$7.17$ atm