the diagrams to the right show the distribution and arrangement of gas particles in two different…

the diagrams to the right show the distribution and arrangement of gas particles in two different containers. according to kinetic - molecular theory, which of the following statements is true? check all that apply. if the temperatures of both containers are equal, container a has greater pressure than container b. if the volume of container a decreased, its pressure would decrease. if the pressure in both containers is equal, container a has a lower temperature than container b.

the diagrams to the right show the distribution and arrangement of gas particles in two different containers. according to kinetic - molecular theory, which of the following statements is true? check all that apply. if the temperatures of both containers are equal, container a has greater pressure than container b. if the volume of container a decreased, its pressure would decrease. if the pressure in both containers is equal, container a has a lower temperature than container b.

Answer

Explanation:

Step1: Recall ideal - gas law

The ideal - gas law is $PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is the number of moles, $R$ is the ideal - gas constant, and $T$ is temperature.

Step2: Analyze the first statement

If $T$ is the same for both containers and assuming the same number of moles ($n$) of gas, from $P=\frac{nRT}{V}$, and since container A has a smaller volume than container B (same number of particles in a smaller space), container A has a greater pressure. So the first statement is true.

Step3: Analyze the second statement

From $P=\frac{nRT}{V}$, if $V$ of container A decreases (assuming $n$ and $T$ are constant), then $P$ increases, not decreases. So the second statement is false.

Step4: Analyze the third statement

If $P$ is the same for both containers, from $T=\frac{PV}{nR}$, and since container A has a smaller volume than container B (same number of particles), for the same pressure, the temperature of container A must be lower. So the third statement is true.

Answer:

If the temperatures of both containers are equal, container A has greater pressure than container B. If the pressure in both containers is equal, container A has a lower temperature than container B.