A sample of oxygen gas with a volume of 3.0 m 3 is at 100 °C. The gas is heated so that itexpands at a constant pressure to a final volume of 6.0 m3. What is the final temperatureof the gas?
Question
A sample of oxygen gas with a volume of 3.0 m 3 is at 100 °C. The gas is heated so that itexpands at a constant pressure to a final volume of 6.0 m3. What is the final temperatureof the gas?
Solution
To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, as long as the pressure and the amount of gas remain constant. The formula for Charles's Law is V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Step 1: Convert the initial temperature from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = °C + 273.15. So, T1 = 100°C + 273.15 = 373.15 K.
Step 2: Substitute the known values into Charles's Law and solve for T2.
V1/T1 = V2/T2 3.0 m3 / 373.15 K = 6.0 m3 / T2
Step 3: Solve for T2.
T2 = (6.0 m3 * 373.15 K) / 3.0 m3 = 746.3 K
So, the final temperature of the gas is 746.3 K.
Similar Questions
One mole of oxygen gas is at a pressure of 6.50 atm and a temperature of 28.5°C.(a) If the gas is heated at constant volume until the pressure triples, what is the final temperature? °C(b) If the gas is heated so that both the pressure and volume are doubled, what is the final temperature? °C
A 600ml sample of gas is heated from 27°C to 77°C at constant pressure. What is its finalvolume
A gas is confined to a steel tank with a fixed volume. At 293 Kelvin (K), the gas exerts a pressure of 5.0 atmosphere (atm). After heating the tank, the pressure of the gas increases to 10.0 atm. What is the temperature of the heated gas?
The volume of 250 mL of gas at 22°C is increased to 740 mL at constant pressure. What is the final temperature of the gas?Group of answer choices600 °C400 °C200 °C800 °C
A 0.250 mole sample of an ideal gas has a volume of 0.00200 m3, a pressure of 2.00 atmospheres. What is the temperature of the sample of gas?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.