Heat and Thermal ExpansionHard

Question

During experiment, an ideal gas is found to obey a condition P2/ρ = constant [ρ density of the gas]. The gas is initially at temperature T, pressure P and density P and density ρ. The gas expands such that density changes to ρ/2

Options

A.The pressure of the gas changes to √2T
B.The temperature of the gas changes to √2T
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 parabola.The Graph of the above on the P -T diagram is hyperbola

Solution

= constant
P = p(Ideal gas equation)
⇒ = constant
∴ The graph of the above procfes on the P - T diagram is hyperbola.
For the above process
....(i)
and
P1T1 = P2T2 PT = T2 ⇒ T2 = √2T.....(ii)

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