A sample of gas has a volume of 2.5 L at 30 °C and 720 mmHg.What will be the volume of this gas at 22 °C and 750 mmHg?
A)1.8 L
B)3.3 L
C)2.7 L
D)2.3 L
E)2.5 L

Question

Quizplus · Accepted Answer

To find the new volume of the gas, we can use the combined gas law, which is $P_1V_1/T_1 = P_2V_2/T_2$, where $P$ is pressure, $V$ is volume, and $T$ is temperature in Kelvin. First, convert temperatures to Kelvin: $30°C = 303K$ and $22°C = 295K$. Then, plug in the given values and solve for $V_2$: $(720 \, mmHg)(2.5 \, L) / (303 \, K) = (750 \, mmHg)(V_2) / (295 \, K)$. Solving for $V_2$ gives approximately $2.3 \, L$.

A Sample of Gas Has a Volume of 2