First slide

laws

Question

The graph drawn between pressure and volume in Boyle's law experiment for same mass of gas is shown in figure for different molecular weights, then

Moderate

A

M₂ < M₁
B

M₁ < M₂
C

M₁ = M₂
D

M₁³ = M₂

Solution

Equation of state is, PV = nRT = m $\frac{RT}{M}$
where m = mass of gas = constant
M = molecular weight
$\therefore P = \frac{{RT}}{V}\frac{1}{M}$
For a given volume, P is more for gas (2).
$\therefore \frac{{RT}}{V}\frac{1}{{{M_2}}} > \frac{{RT}}{V}\frac{1}{{{M_1}}}$
$\Rightarrow {M_2} < {M_1}$

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