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

Explanation:

Step1: Recall ideal gas law

$PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is number of moles (proportional to number of molecules), $R$ is a constant, and $T$ is temperature. Since $V$ is constant, $P\propto nT$.

Step2: Analyze each option

• Option 1: Initial $n = 500$, new $n=500 + 100=600$, $T$ increases by $10K$. So $nT$ increases.
• Option 2: $n$ increases to $600$ but $T$ decreases by $10K$, so the net - effect on $nT$ is less of an increase compared to Option 1.
• Option 3: $n$ decreases to $500 - 100 = 400$ while $T$ increases by $10K$, so $nT$ increase is less than Option 1.
• Option 4: $n$ decreases to $400$ and $T$ decreases by $10K$, so $nT$ decreases.

Answer:

adding 100 more molecules and increasing the temperature by 10K