Question

The pressure (P) and the density $\left(\rho \right)$ of given mass of a gas expressed by Boyle's law, $P=K\rho$ holds true

• A. For any gas under any condition
• B. for some gases under any conditions
• C. only if the temperature is kept constant
• D. None of these

Answer 1

Answer: (C)

only if the temperature is kept constant

$P=K\rho$

From ideal gas law we know,

$PV=nRT=\frac{m}{M_0}RT$

$⟹P{M}_0=\rho RT$

$⟹P=\left(\frac{RT}{M_0}\right)\rho$

Thus $K=\frac{RT}{M_0}$

Hence temperature is constant for Boyle's law to hold true.