Respuesta :

Answer:

5.82 L

Explanation:

Using Ideal gas equation for same mole of gas as

[tex] \frac {{P_1}\times {V_1}}{T_1}=\frac {{P_2}\times {V_2}}{T_2}[/tex]

Given ,  

V₁ = 2.25 L

V₂ = ?

P₁ = 2.7 atm

T₁ = 12 ºC

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15  

So,  

T₁ = (12 + 273.15) K = 285.15 K  

At STP, Pressure = 1 atm and Temperature = 273.15 K

So,

P₂ = 1 atm

T₂ = 273.15 K

Using above equation as:

[tex] \frac {{P_1}\times {V_1}}{T_1}=\frac {{P_2}\times {V_2}}{T_2}[/tex]

[tex] \frac {{2.7}\times {2.25}}{285.15}=\frac {{1}\times {V_2}}{273.15}[/tex]

Solving for V₂ , we get:

V₂ = 5.82 L

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