Question

. An airplane passenger has 100 cm 12 of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure?

Answer 1

Incorrect question.The correct one is here

An airplane passenger has 100 cm³ of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure drops to 7.50×10⁴N/m²?

Answer:

Volume=134.7 cm³

Step-by-step explanation:

Given data

Volume v₁=100 cm³=100×10⁻⁶m³

Normal atmospheric pressure P₁=1.01×10⁵ Pa

Cabin Pressure=7.50×10⁴Pa

To find

Volume v₂

Solution

From ideal gas we know that

`P_(1)V_(1)=P_(2)V_(2)\\ V_(2)=(P_(1)V_(1))/(P_(2))\\ V_(2)=((1.01*10^(5) )(100*10^(-6)))/((7.50*10^(4)))\\ V_(2)=1.347*10^(-4)m^(3)\\V_(2)=134.7cm^(3)`