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

During an experiment, an ideal gas is found to obey a condition `Vp^2 =` constant. The gas is initially at a temperature (T), pressure (p) and volume (V). The gas expands to volume (4V).

A

The pressure of gas changes to `(p)/(2)`

B

The temperature of the gas changes to `4 T`

C

The graph of the above process on (p - T) diagram is parabola.

D

The graph of the above process on (p - T) diagram is hyperbola.

Text Solution

Verified by Experts

The correct Answer is:
A, D
`p prop (1)/sqrt(V)`
If volume becomes 4 times than (p) will remain half
`V prop (T)/(p)`
`:. Vp^2 =` constant
`:. (T/P) p^2 =` constant
or `p T =` constant
or `p prop (1)/(T)`
i.e. (p - T) graph is a rectangular hyperbola. If (p) is halved than (T) will becomes two times.
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