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During an experiment, an ideal gas is fo...

During an experiment, an ideal gas is found to obey a condition `(p^2)/(rho) = "constant"`. (`rho` = density of the gas). The gas is initially at temperature (T), pressure (p) and density `rho`. The gas expands such that density changes to `rho//2`.

A

The pressure of the gas changes to `sqrt(2)p`

B

The temperature of the gas changes to `sqrt(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 straight line

Text Solution

Verified by Experts

The correct Answer is:
B
`(P_(2))/(rho)=krArr(P^(2)RT)/(PM)=krArrPT=((kM)/(R))`..... (1)
`(P^(2))/(rho)=(p^(2))/(rho//2)rArrp'=(P)/sqrt(2)` Hence from (1), `T'=Tsqrt(2)`
PT=constant hence P-T curve is a hyparbola.
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