contestada

What is the resultant pressure if 1.7 mol of ideal gas at 273 K and 2.79 atm in a closed container of constant volume is heated to 315 K? Answer in units of atm.

Respuesta :

Answer: The resultant pressure is 3.22 atm

Explanation:

Gay-Lussac's Law: This law states that pressure is directly proportional to the temperature of the gas at constant volume and number of moles.

[tex]P\propto T[/tex]     (At constant volume and number of moles)

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

where,

[tex]P_1[/tex] = initial pressure of gas  = 2.79 atm

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

[tex]T_1[/tex] = initial temperature of gas  = 273K

[tex]T_2[/tex] = final temperature of gas = 315 K

[tex]\frac{2.79}{273}=\frac{P_2}{315}[/tex]

[tex]P_2=3.22atm[/tex]

Thus the resultant pressure is 3.22 atm