A sample of nitrogen gas has a volume of 10.0 L at 2.50 atm and 50.0$\degree$C.If the pressure is increased to 5.00 atm and the temperature decreases to 25.0$\degree$C, what volume does the gas occupy?

Question

Quizplus · Accepted Answer

To solve this problem, we 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 from Celsius to Kelvin by adding 273.15. The initial temperature is 50.0°C, which is 323.15K, and the final temperature is 25.0°C, which is 298.15K. Plugging in the values: $2.50 \text{ atm} \times 10.0 \text{ L} / 323.15 \text{ K} = 5.00 \text{ atm} \times V_2 / 298.15 \text{ K}$. Solving for $V_2$ gives approximately 4.61 L.

A Sample of Nitrogen Gas Has a Volume of 10 °\degree°

A Sample of Nitrogen Gas Has a Volume of 10 $\degree$