alleryStart learning →A carbon dioxide sample occupies 0.300 L at 10 degrees C and 750 torr. What volume does it occupy at 30 degrees C and 750 torr?
A0.321 L
B0.900 L
C0.280 L
D0.283 L
Answer & Solution
Correct answer: A. 0.321 L
1. Pressure is 750 torr before and after, so this is a volume and temperature problem and Charles's law applies.
2. Convert the starting temperature to kelvin: 10 + 273 = 283 K.
3. Convert the final temperature to kelvin: 30 + 273 = 303 K.
4. Apply V1 over T1 equals V2 over T2: 0.300 L / 283 K = V2 / 303 K.
5. Solve: V2 = 0.300 x 303 / 283 = 0.321 L.
6. Heating at constant pressure must expand the gas, so any answer below 0.300 L is wrong on inspection.
7. Using Celsius values would give 0.300 x 30 / 10 = 0.900 L, a threefold jump for a 20 degree warming, which is the trap set here.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 9 "Gases", section 9.2 Relating Pressure, Volume, Amount, and Temperature: The Ideal Gas Law_
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