Question

An airplane passenger has 100 cm

3

of air in his stomach just before the plane takes off sea

-

level airport. What volume will the air have at cruising altitude if cabin pressure drops to

7.50 x 10

4

Pa?

Answer 1

Solution;

At seal level, take atmospheric pressure as the initial pressure;

$P=1.013×10^5N/m^2$

Volume of air; $V=100cm^3$

Pressures drops to,$P'=7.50×10^4N/m^2$

Assuming temperature remains the same,we get the relation;

$PV=P'V'$

So the new volume will be;

$V'=\frac{PV}{P'}$

By substitution;

$V'=\frac{1.013×10^5×100}{7.5×10^4}$

$V'=135.06cm^3$