Question 65 – Gas pressure and temperature - Questions

State of gas

Pressure in

kPa\text{kPa}

Volume in

m3\text{m}^3

Before the gas is compressed / at atmospheric pressure

P_1 = 102

V_1 = 2.10

Compressed inside the cylinder

P_2 = 1530

V_2 = 0.14

A safety equipment supplier sells a cylinder of compressed nitrogen gas, as shown in the diagram below.

A high-pressure steel cylinder containing compressed nitrogen gas connected via a pressure regulator valve to an inflatable safety life jacket.

The cylinder of nitrogen gas is used to inflate emergency life jackets.

Each fully inflated life jacket has a volume of 0.045 m³ at a pressure of 102 kPa.

The supplier claims that you can inflate at least 50 life jackets using the gas from a single cylinder.

Comment on the supplier's claim.

Use information about the volume of the gas at a pressure of 102 kPa as shown in the table below.

State of gas	Pressure in $kPa\text{kPa}$	Volume in $m3\text{m}^3$
Before the gas is compressed / at atmospheric pressure	$P_1 = 102$	$V_1 = 2.10$
Compressed inside the cylinder	$P_2 = 1530$	$V_2 = 0.14$

Gas pressure and temperature