A 0.850-mole sample of nitrous oxide, a gas used as an anesthetic by dentists, has a volume of 20.46 L at 123°C and 1.35 atm. What would be its volume at 468°C and 1.35 atm?
A)5.38 L
B)10.9 L
C)19.0 L
D)38.3 L
E)77.9 L

Question

Quizplus · Accepted Answer

The volume of a gas at a new temperature can be found using Charles's Law, which states that $V_1/T_1 = V_2/T_2$ when pressure is constant. First, convert temperatures to Kelvin: $T_1 = 123°C + 273 = 396K$ and $T_2 = 468°C + 273 = 741K$. Then, solve for $V_2$: $V_2 = V_1 \times (T_2/T_1) = 20.46L \times (741K / 396K) = 38.3L$.

A 0850-Mole Sample of Nitrous Oxide, a Gas Used as an an Anesthetic