Respuesta :
Answer:
0.95L
Explanation:
Data obtained from the question include:
V1 (initial volume) = 1L
T1 (initial temperature) = 315K
P1 (initial pressure) = 1.10 atm
T2 (final temperature) = stp = 273K
P2 (final pressure) = stp = 1atm
V2 (final volume) =?
Using the general gas equation P1V1/T1 = P2V2/T2, the final volume of the system can be obtained as follow:
P1V1/T1 = P2V2/T2
1.1 x 1/315 = 1 x V2/273
Cross multiply to express in linear form.
315 x V2 = 1.1 x 273
Divide both side by 315
V2 = (1.1 x 273) /315
V2 = 0.95L
Therefore, the final volume of the system if STP conditions are established is 0.95L
The final volume of a 1.00 L system will be "0.95 L".
Gas equation
According to the question,
Initial temperature, T₁ = 315 K
Final temperature, T₂ = 273 K
Initial pressure, P₁ = 1.10 atm
Final pressure, P₂ = 1 atm
Initial volume, V₁ = 1 L
By using the gas equation,
→ [tex]\frac{P_1 V_1}{T_1} =\frac{P_2 V_2}{T_2}[/tex]
By substituting the values,
[tex]\frac{1.1\times 1}{315} =\frac{1\times V_2}{273}[/tex]
By applying cross-multiplication,
315 × V₂ = 1.1 × 273
V₂ = [tex]\frac{1.1\times 273}{315}[/tex]
= 0.95 L
Thus the answer above is right.
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