Answer:
0.299 L
Explanation:
We'll begin by calculating the pressure of dry gas. This can be obtained as follow:
Measured pressure = 756 mm Hg
Water vapor pressure = 17.54 mm Hg
Pressure of dry gas =?
Pressure of dry gas = (Measured pressure) – (Water vapor pressure)
Pressure of dry gas = 738.46 mmHg
Finally, we shall determine the volume occupied at STP. This can be obtained as follow:
Initial volume (V₁) = 334 mL = 334 / 1000 = 0.334 L
Initial pressure (P₁) = 738.46 mmHg
Initial temperature (T₁) = 23 °C = 23 °C + 273 = 296 K
Final pressure (P₂) = 760 mmHg
Final temperature (T₂) = 273 K
Final volume (V₂)
P₁V₁/T₁ = P₂V₂/T₂
738.46 × 0.334 / 296 = 760 × V₂/273
Cross multiply
296 × 760 × V₂ = 738.46 × 0.334 × 273
224960 × V₂ = 67334.2597
Divide both side by 224960
V₂ = 67334.2597 / 224960
V₂ = 0.299 L
Thus, the volume of the dry gas st STP is 0.299 L.
