Question

A pocket of gas is discovered in a deep drilling operation.The

Answer 1

Answer : The volume of gas required to provide 18.01L of gas  at the surface is, 3.6 L

Explanation :

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1$ = initial pressure of gas = 12.8 atm

$P_2$ = final pressure of gas = 1.0 atm

$V_1$ = initial volume of gas = ?

$V_2$ = final volume of gas = 18.01 L

$T_1$ = initial temperature of gas = $480^oC=273+480=753K$

$T_2$ = final temperature of gas = $22^oC=273+22=295K$

Now put all the given values in the above equation, we get:

$\frac{12.8atm\times V_1}{753K}=\frac{1.0atm\times 18.01L}{295K}$

$V_1=3.59L\approx 3.6L$

Therefore, the volume of gas required to provide 18.01L of gas  at the surface is, 3.6 L