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Pressure versus temperature graph of an ...

Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point A is `rho_0` . Density at point B will be ____

A

`3/4rho_0`

B

`3/2rho_0`

C

`4/3rho_0`

D

`2rho_0`

Text Solution

Verified by Experts

The correct Answer is:
B
`rho="PM"/"RT"` or `rho prop P/T`
`therefore (P/T)_A=P_0/T_0` and `(P/T)_B=3/2 (P_0/T_0)`
`therefore (P/T)_B=3/2(P/T)_A`
`therefore rho_B=3/2rho_A=3/2rho_0`
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