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If a compressed air cylinder for scuba diving contains 6.0 L of gas at 18°C and 200 atm pressure, what volume does the gas occupy at 1.0 atm and 25°C?​

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sebassandin

Answer:

[tex]V_2=1228.9L[/tex]

Explanation:

Hello there!

In this case, given the pressure, temperature and volume of the gas, we notice that we need the combined ideal gas as shown below:

[tex]\frac{P_2V_2}{T_2} =\frac{P_1V_1}{T_1}[/tex]

Thus, solving for the final volume, V2,  we would obtain:

[tex]V_2=\frac{P_1V_1T_2}{T_1P_2}[/tex]

Now, we plug in the data and make sure the temperature must be in Kelvins to obtain:

[tex]V_2=\frac{200atm*6.0L*(25+273)K}{(18+273.15)K(1.0atm)}\\\\V_2=1228.9L[/tex]

Best regards!

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