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A sample of Ar(g) is contained in a
cylinder with a moveable piston at an initial
temperature of T. The volume of the
sample is decreased from 4.5 L to 1.5 L
while the pressure is held constant, as
shown in the diagram below.

A sample of Arg is contained in a cylinder with a moveable piston at an initial temperature of T The volume of the sample is decreased from 45 L to 15 L while t class=

Respuesta :

Answer:

Option (B) is correct.

Explanation:

Initial temperature of the gas is T.

The volume of the  sample is decreased from 4.5 L to 1.5 L  while the pressure is held constant.

At constant pressure, the relation between volume and temperature is given by :

[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]

Here, V₁ = 4.5 L, V₂ = 1.5 L, T₁ = T₁, T₂ = ?

So,

[tex]T_2=\dfrac{V_2T_1}{V_1}\\\\T_2=\dfrac{1.5\times T_1}{4.5}\\\\T_2=\dfrac{T_1}{3}[/tex]

So, the final temperature of the gas is [tex]\dfrac{T_1}{3}[/tex]. Hence, the correct option is (B).

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