Question

$O_{2}$ Gas is filled in a vessel. If pressure is doubled, temperature becomes four times. How many times its density will become

• A. 2
• B. 4
• C. $\frac{1}{4}$
• D. $\frac{1}{2}$

Answer 1

Answer: (D)

$\frac{1}{2}$

Answer 2

$PV = \mu RT$Ž $P\left( \frac{m}{\rho} \right)$ $= \mu RT$Ž $\rho \propto \frac{T}{P}$

Since T becomes twice and P becomes four times so r becomes $\frac{1}{2}$ times.