Answer:
944.55mL
Step-by-step explanation:
Data obtained from the question include:
V1 (initial volume) = 585 mL
T1 (initial temperature) = 25°C = 25 + 273 = 298K
P1 (initial pressure) = 765 mmHg
V2 (final volume) =?
P2 (final pressure) = 442 mmHg
T2 (final temperature) = 5°C = 5 + 273 = 278K
Applying the general gas equation P1V1/T1 = P2V2/T2, the final volume at the top of the mountain can be obtained as follow:
P1V1/T1 = P2V2/T2
765 x 585/298 = 442 x V2/278
Cross multiply to express in linear form as shown below:
298 x 442 x V2 = 765 x 585 x 278
Divide both side by 298 x 442
V2 = (765 x 585 x 278)/(298 x 442)
V2 = 944.55mL
Therefore, the volume at the top of the mountain will be 944.55mL