Question

How many times is the weight of the air filling a room in winter ($7^{0}C$) greater than weight in summer $\left({37}^{0}C\right)$ ? Assume that pressure is constant.

• A. 1.11
• B. 0.9
• C. 11.1
• D. 9

Answer 1

The correct option is A 1.11

Ideal gas follows: PV=nRT

$⟹P{M}_0=dRT$ where $d$ is the density of the gas

$⟹d\propto \frac{1}{T}$

$⟹$ weight of the gas$\propto \frac{1}{T}$

$⟹\frac{W_{winter}}{W_{summer}}=\frac{273+37}{273+7}=1.11$