1. Oxygen gas inside a 1200 litres gas tank has a pressure of 1.0 atm. If the temperature remains constant , how much pressure is needed to reduce its volume by one- half (1/2) ?
P1 = 1.0 atm
V1 = 1200 L
T1 = T2 = constant
P2 = ???
V2 = (1/2) × V1 = (1/2) × 1200 L = 600 L
Solution:
Since the temperature and amount of gas remain unchanged, Boyle's law can be used.
Boyle's gas law can be expressed as: P1V1 = P2V2
To find the pressure, solve the equation for P2:
P2 = P1V1 / V2
P2 = (1.0 atm × 1200 L) / (600 L) = 2.0 atm
P2 = 2.0 atm
Answer: 2.0 atm
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