The volume of a sample of gas measured at 35.0°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)189.0°C
B)52.5°C
C)-220.5°C
D)23.3°C
E)-67.7°C

Question

Quizplus · Accepted Answer

The relationship between volume and temperature of a gas at constant pressure is described by Charles's Law, which states that V1/T1 = V2/T2, where V is volume and T is temperature in Kelvin. To solve for the final temperature (T2), first convert the initial temperature from Celsius to Kelvin: 35.0°C + 273.15 = 308.15 K. Then, using the volumes given, 2.00 L / 308.15 K = 3.00 L / T2. Solving for T2 gives T2 = (3.00 L * 308.15 K) / 2.00 L = 462.225 K. Converting back to Celsius: 462.225 K - 273.15 = 189.075°C, which rounds to 189.0°C.

The Volume of a Sample of Gas Measured at 35