A sample of argon gas occupies a certain volume at 11°C. At what temperature would the volume of the gas be three times as big? Assume the pressure remains constant. 33.0°C 579°C 852°C 109°C

Respuesta :

V₁/T₁ = V₂/T₂ = const

T₁=11+273=284K
V₂=3V₁

V₁/T₁=3V₁/T₂

T₂=3T₁

T₂=3*284=852K

t₂=852-273=579°C

Answer:

At 579°C the volume of the gas be three times as big.

Explanation:

Under constant pressure:

Initial temperature of the gas =[tex]T_1=11^oC=284.15K[/tex]

Initial volume of the gas = [tex]V_1=V[/tex]

Initial temperature of the gas =[tex]T_2=?[/tex]

Initial volume of the gas = [tex]V_2=3V[/tex]

Applying Charles law:

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex] (Constant pressure)

[tex]T_2=\frac{284.15 K\times 3V}{V}=852.45K=579 ^oC[/tex]

At 579°C the volume of the gas be three times as big.