A SCUBA tank can normally hold 18 liters of gas at 3000 psi. How many liters of gas would this be equivalent to if the gas were

Question

3 years ago

10

at 14.7 psi?

1 answer:

NikAS [45] · Answer 1 · 2022-09-07T20:30:57+03:00

Liters of gas at 14.7 psi: 3674 L

Explanation:

We can solve this problem by using Boyle's law, which states that:

"For an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

$pV=const.$

where

p is the gas pressure

V is its volume

This law can also be rewritten as

$p_1 V_1 = p_2 V_2$

Where:

$p_1 = 3000 psi$ is the initial pressure of the gas

$V_1 = 18 L$ is the initial volume of the gas

$p_2 = 14.7 psi$ is the final pressure of the gas

$V_2$ is the final volume

Therefore, we can calculate the volume of gas corresponding to 14.7 psi of pressure:

$V_2=\frac{p_1 V_1}{p_2}=\frac{(3000)(18)}{14.7}=3674 L$

Learn more about ideal gases:

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