A gas inside a piston initially has a pressure of 1.2 bars at temperature of 25 degree C and volume of 20.0 mL. If temperature is increased to 120 deg C and the piston expands to a volume of 80 mL, what is the new pressure

Respuesta :

Answer: The new pressure is 0.39 bar

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 = 1.2 bar

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

[tex]V_1[/tex] = initial volume of gas = 20.0 ml

[tex]V_2[/tex] = final volume of gas = 80.0 ml

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

[tex]T_2[/tex] = final temperature of gas = [tex]120^oC=273+120=393K[/tex]

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

[tex]\frac{1.2\times 20.0}{298}=\frac{P_2\times 80.0}{393}[/tex]

[tex]P_2=0.39bar[/tex]

The new pressure is 0.39 bar