Question 5 (1 point)
A gas in a 100 L tank at 25 degrees Celsius exerts a pressure of 19 atm. The gas is cooled to 0 degrees Celsius and pumped into a 20 L tank.
What pressure will it exert under these new conditions?
OOOO
35 atm
46 atm
87 atm
104 atm​

Respuesta :

Answer : The pressure it exert under these new conditions will be, 87 atm

Explanation :

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

The combined gas equation is,

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

where,

[tex]P_1[/tex] = initial pressure of gas = 19 atm

[tex]P_2[/tex] = final pressure of gas = ?

[tex]V_1[/tex] = initial volume of gas = 100 L

[tex]V_2[/tex] = final volume of gas = 20 L

[tex]T_1[/tex] = initial temperature of gas = [tex]25^oC=273+25=298K[/tex]

[tex]T_2[/tex] = final temperature of gas = [tex]0^oC=273+0=273K[/tex]

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

[tex]\frac{19atm\times 100L}{298K}=\frac{P_2\times 20L}{273K}[/tex]

[tex]P_2=87atm[/tex]

Therefore, the pressure it exert under these new conditions will be, 87 atm

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