Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

sample a temperature: 75°c sample b temperature: 80°c which sample has …

Question

sample a
temperature: 75°c
sample b
temperature: 80°c
which sample has the higher gas pressure?
sample a
sample b
neither; the samples have the same gas pressure

Explanation:

Step1: Recall gas - pressure and temperature relationship

According to the ideal gas law $PV = nRT$ (assuming volume $V$, number of moles $n$ and gas constant $R$ are constant), pressure $P$ is directly proportional to temperature $T$ ($P=\frac{nR}{V}T$).

Step2: Compare temperatures

Sample A has a temperature of $75^{\circ}C$ and Sample B has a temperature of $80^{\circ}C$. Since $80^{\circ}C>75^{\circ}C$ and pressure is directly proportional to temperature under constant - volume and constant - amount of gas conditions, the gas in Sample B has higher pressure.

Answer:

Sample B