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For one mole of an ideal gas, if P = P(0...

For one mole of an ideal gas, if P = `P_(0)/(1+(V/V_(0))^(2))` , where `P_(0)` and `V_(0)` are constants. Which of the following are true?

A

`P = P_0//2 "when " V = V_0`

B

`V = 2 V_0` when `P = P_0`

C

`T = P_0 V_0//2R ` when `V = V_0`

D

`R = P/(TV_0) ` when `P = P_0`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`P = (P_0)/(1 + (V/(V_0))^2)`
a) `V = V_0 implies P = (P_0)/2`
b) `P = P_0 implies 1 + (V/(V_0))^2 = 1 implies V/(V_0) = 0`.
c) `V = V_0 implies P = (P_0)/(2) T = (PV)/(nR) = (P^@ xx V_0)/(2R)`.
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