Question

there are 500 molecules in an airtight bucket, and the volume is held constant. which change would cause the greatest increase in pressure? (1 point) adding 100 more molecules and increasing the temperature by 10k adding 100 more molecules and decreasing the temperature by 10k releasing 100 molecules and increasing the temperature by 10k releasing 100 molecules and decreasing the temperature by 10k check answer remaining attempts : 3

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 (proportional to the number of molecules), $R$ is the ideal gas constant, and $T$ is temperature. Since $V$ is constant, $P=\frac{nRT}{V}$, so $P$ is proportional to $n$ and $T$.

Step2: Analyze each option

• Option 1: Adding 100 more molecules ($n$ increases) and increasing the temperature by 10K ($T$ increases). Both factors contribute to an increase in pressure.
• Option 2: Adding 100 more molecules ($n$ increases) but decreasing the temperature by 10K ($T$ decreases). The increase in $n$ tends to increase pressure, but the decrease in $T$ tends to decrease pressure.
• Option 3: Releasing 100 molecules ($n$ decreases) and increasing the temperature by 10K ($T$ increases). The decrease in $n$ tends to decrease pressure and the increase in $T$ tends to increase pressure.
• Option 4: Releasing 100 molecules ($n$ decreases) and decreasing the temperature by 10K ($T$ decreases). Both factors contribute to a decrease in pressure.

Answer:

Adding 100 more molecules and increasing the temperature by 10K