At standard temperature and pressure (0 ∘C∘C and 1.00 atmatm ), 1.00 molmol of an ideal gas occupies a volume of 22.4 LL. What volume would the same amount of gas occupy at the same pressure and 25 ∘C∘C ?

Respuesta :

Answer:

Final volume will be 24.45 L

Explanation:

We have given initial temperature [tex]T_1=0^{\circ}C=0+273=273K[/tex]

Pressure is [tex]P_1=1atm[/tex]

Volume occupied [tex]V_1=22.4lL[/tex]

From ideal gas equation [tex]PV=nRT[/tex]

[tex]\frac{PV}{T}=constant[/tex]

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

Final temperature [tex]T_2=25+273=298K[/tex]

Pressure is remain constant so [tex]P_2=1atm[/tex]

We have to fond the volume [tex]V_2[/tex]

So [tex]\frac{1\times 22.4}{273}=\frac{1\times V_2}{298}[/tex]

[tex]V_2=24.45L[/tex]

So final volume will be 24.45 L