Question

For a sample of an ideal gas of fixed weight and at a fixed temperature.
I. the volume varies, directly proportional with the pressure exerted on it.
II. the volume varies inversely proportional with the pressure exerted on it.
III. the pressure varies directly proportional with the density f the gas.
Choose the correct option :

• A. I only
• B. II only
• C. III only
• D. I and II only
• E. II and III only

Answer 1

The correct option is E II and III only

For a sample of an ideal gas of fixed weight and at a fixed temperature :
II. the volume varies inversely proportional with the pressure exerted on it.
$PV=nRT$
$V\propto \frac{1}{P}$ (n and T constant)
III. the pressure varies directly proportional with the density of the gas.
$PV=nRT$
$PV=\frac{W}{M}RT$
$PM=\frac{W}{V}RT$
$PV=dRT$
$P\propto d$