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A sample of air occupies 3.8 L when the pressure is 1.2 atm and temperature at 25 Celsius. What pressure( in atm) will the gas have at 100 Celsius when the volum is held constant?

Respuesta :

Answer : The final pressure of the gas will be, 1.5 atm

Explanation :

Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.

[tex]P\propto T[/tex]

or,

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = 1.2 atm

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

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

[tex]T_2[/tex] = final temperature of gas = [tex]100^oC=273+100=373K[/tex]

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

[tex]\frac{1.2atm}{298K}=\frac{P_2}{373K}[/tex]

[tex]P_2=1.5atm[/tex]

Thus, the final pressure of the gas will be, 1.5 atm

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