A sample of oxygen gas has a volume of 545 mL at 35^$\circ$C. The gas is heated to 151ºC at constant pressure in a container that can contract or expand. What is the final volume of the oxygen gas A) 750. mL B) 396 mL C) 417 mL D) 267 mL E) 126 mL

Question

Quizplus · Accepted Answer

To find the final volume of the gas, we can use the formula derived from Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, provided the pressure and the amount of gas remain constant. The formula is $V_1/T_1 = V_2/T_2$, where $V_1$ and $V_2$ are the initial and final volumes, and $T_1$ and $T_2$ are the initial and final temperatures in Kelvin, respectively.First, convert the temperatures from Celsius and Fahrenheit to Kelvin:- Initial temperature: $35^\circ C = 35 + 273.15 = 308.15 K$- Final temperature: $151^\circ C = 151 + 273.15 = 424.15 K$Then, solve for $V_2$:$\frac{545\,mL}{308.15\,K} = \frac{V_2}{424.15\,K}$$V_2 = \frac{545\,mL \times 424.15\,K}{308.15\,K} \approx 750\,mL$Therefore, the final volume of the oxygen gas is approximately 750 mL.

A Sample of Oxygen Gas Has a Volume of 545 ∘\circ∘

A Sample of Oxygen Gas Has a Volume of 545 $\circ$