Question

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?​

Answer 1

`V_2=1228.9L`

Step-by-step 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:

`(P_2V_2)/(T_2) =(P_1V_1)/(T_1)`

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

`V_2=(P_1V_1T_2)/(T_1P_2)`

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

`V_2=(200atm*6.0L*(25+273)K)/((18+273.15)K(1.0atm))\\\\V_2=1228.9L`

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