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The equation
P1V1/T1 = P2V2/T2 is often used to study the volume of a gas at different pressures and temperatures. A scientist studying a gas found that P1V1/T1 = 44 atmospheres*liters/Kelvin. If the values for standard temperature and pressure are used for the variables P1 and T1, what is the value of V1?

A) 12 liters
B) 129 liters
C) 1,200 liters
D) 12,019 liters

Respuesta :


Based on the options given, the most likely answer to this query is D) 12,019 liters

This equation is suggestive of Bernoulli's principle. 

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Answer:

The correct answer is option D.

Explanation:

Given: [tex]\frac{P_1V_1}{T_1}=44 atm L/K[/tex]

The standard pressure is taken as[tex]P_1= 1 atm[/tex]

The standard temperature is taken as[tex]T_1= 273.15 K[/tex]

The value variable ,[tex]V_1=?[/tex]

[tex]\frac{1 atm \times V_1}{273.15 K}=44 atm L/K[/tex]

[tex]V_1=12,018.6 l\approx 12,019 L[/tex]

The value of the variable [tex]V_1[/tex] is 12.019 Liters.

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