90.3k views
0 votes
Determine the volume of atmospheric air (at 14 lb/in.^2) needed to fill your bike tires (assuming it holds 500 mL of air) to the pressure recommended by the manufacturer (70 lb/in.^2)

1 Answer

4 votes

Boyle Law says “the pressure of fixed amount of ideal gas which is at constant temperature is inversely proportional to its volume".

P = 1/V

Where, P is pressure of the ideal gas and V is volume of the ideal gas.

For two situations, this law can be added as;
P
V = PV

14 lb/in² x V₁ = 70 lb/in² x 500 mL
V₁ = 2500 mL

Hence, the needed volume of atmospheric air = 2500 mL

Here, we made two assumptions. They are,
1. The atmospheric air acts as ideal gas.
2. Temperature is a constant.

We didn't convert the units to SI units since converting volume and pressure are products of two numbers, they will cut off.

User Shingo Fukuyama
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.