Question

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.

Answer 1

Option (B) is correct.

Step-by-step 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 :

`(V_1)/(T_1)=(V_2)/(T_2)`

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

So,

`T_2=(V_2T_1)/(V_1)\\\\T_2=(1.5* T_1)/(4.5)\\\\T_2=(T_1)/(3)`

So, the final temperature of the gas is
`(T_1)/(3)`. Hence, the correct option is (B).