Question

A sample of Ar(g) is contained in a

Answer 1

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 :

$\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}$

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

So,

$T_2=\dfrac{V_2T_1}{V_1}\\\\T_2=\dfrac{1.5\times T_1}{4.5}\\\\T_2=\dfrac{T_1}{3}$

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