In the process PV- constant- pressure P versus density - graph of an ideal gas is-

We know, for ideal gas PV=nRT If PV= constant ⇒ T= constant Also, PM=ρ RT Where, M= molar mass ⇒ρ∝ P for T= constant Hence, P ρ graph is a straight line passi ...

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Standard XI

Physics

Ideal Gas Equation

In the proces...

Question

In the process $P V =$ constant, pressure $(P)$ versus density $(ρ)$ , graph of an ideal gas is:

a straight line parallel to

P -

axis

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a straight line parallel to

ρ -

axis

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an inclined straight line passing through the origin

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a parabola

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Solution

The correct option is C an inclined straight line passing through the origin
We know, for ideal gas
$P V = n R T$
If $P V =$ constant
$\Rightarrow T =$ constant
Also,
$P M = ρ R T$
Where,
$M =$ molar mass

$\Rightarrow ρ \propto P$ for $T =$ constant
Hence,
$P - ρ$ graph is a straight line passing through the origin.

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Ideal Gas Equation

Standard XI Physics

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In the process PV= constant, pressure (P) versus density (ρ), graph of an ideal gas is:

The correct option is C an inclined straight line passing through the originWe know, for ideal gas PV=nRT If PV= constant ⇒T= constant Also, PM=ρRT Where, M= molar mass ⇒ρ∝P for T= constant Hence, P−ρ graph is a straight line passing through the origin.

In the process $P V =$ constant, pressure $(P)$ versus density $(ρ)$ , graph of an ideal gas is: