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Question
During an experiment, an ideal gas is found to obey a condition 
= constant [ρ = density of the gas]. The gas is initially at temperature T, pressure P and density ρ. The gas expands such that density changes to 
= constant [ρ = density of the gas]. The gas is initially at temperature T, pressure P and density ρ. The gas expands such that density changes to Options
A.The pressure of the gas changes to √2P.
B.The temperature of the gas changes to √2 T.
C.The graph of the above process on the P-T diagram is parabola.
D.The graph of the above process on the P-T diagram is hyperbola.
Solution
Equation of process ⇒ 
= constant = C .... (1)
Equation of State
..........(2)
From 1 and 2 PT = constant ⇒ C is false, D is true.
As ρ-changes to
⇒ P changes to 
from equation (1) ⇒ A is false.
Hence T changes to . ⇒ B is true.
= constant = C .... (1)Equation of State
..........(2)From 1 and 2 PT = constant ⇒ C is false, D is true.
As ρ-changes to
⇒ P changes to from equation (1) ⇒ A is false.Hence T changes to . ⇒ B is true.
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