The volume of a sample of gas measured at 50.0°C and 1.00 atm pressure is 2.00 L.What must the final temperature be in order for the gas to have a final volume of 3.00 L at 1.00 atm pressure?
A) 211.5°C
B) 75.0°C
C) -198.0°C
D) 33.3°C
E) -57.7°C

Question

Quizplus · Accepted Answer

To find the final temperature for the gas to have a final volume of 3.00 L at the same pressure, we use Charles's Law, which states that $V_1/T_1 = V_2/T_2$, where $V$ is volume, $T$ is temperature in Kelvin, and the subscripts 1 and 2 refer to the initial and final states, respectively. First, convert the initial temperature to Kelvin: $50.0°C + 273.15 = 323.15 K$. Then, solve for $T_2$: $T_2 = (V_2/V_1) \times T_1 = (3.00 L / 2.00 L) \times 323.15 K = 484.725 K$. Convert back to Celsius: $484.725 K - 273.15 = 211.575°C$, which rounds to 211.5°C.

The Volume of a Sample of Gas Measured at 50