2. A scuba diver needs a diving tank in order to provide breathing gas while he is under water. Calculate the pressure needed for 6.50 litres of gas at 1.02 atmospheric pressure to be reduced in a 3.25 litres cylinder.
P1 = 1.02 atm
V1 = 6.50 L
T1 = T2 = constant
P2 = ???
V2 = 3.25 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 = (1.02 atm × 6.50 L) / (3.25 L) = 2.04 atm
P2 = 2.04 atm
Answer: 2.04 atm
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