Question

According to Boyles law, given mass of a gas is _________ proportional to its pressure at any given temperature.

• A. Bnone of these
• B. both $\left(A\right)$ and $\left(B\right)$
• C. inversely
• D. directly

Answer 1

Answer: (C)

The correct option is B inversely
At constant temperature, pressure is inversely proportional to volume of the gas.

$P\propto \frac{1}{V}$ (At constant temperature.)

But, we know, $Density\left(d\right)=\frac{Mass\left(M\right)}{Volume\left(V\right)}$

$d=\frac{M}{V}⟹V=\frac{M}{d}$

Taking $d$ constant, if we take only one substance, then $V\propto M.$

$P\propto \frac{1}{V}P\propto \frac{1}{M}$

So, mass is inversely proportional to pressure at a given temperature.