Heat and Thermal ExpansionHard

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

Options

A.The pressure of the gas changes to √2P
B.The temprature of the gas changes to √2P
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

PV = nRT
P ∝ ρ T......(i)  T ∝ .........(ii)   T ∝ .........(iii)

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