Question 1 of 4 · Ideal Gases and Property Relations · Foundation · About 14 min

Pressure rise in a sealed inspection tank

A rigid container of $0.380\,\mathrm{m^3}$ contains air at $205\,\mathrm{kPa}$ absolute and $292\,\mathrm{K}$ . It is then warmed to $345\,\mathrm{K}$ without exchanging mass. Model air with $R=0.287\,\mathrm{kJ/(kg\,K)}$ . Determine the mass of air and final pressure.

A rigid sealed air tank is heated and its pressure increases. — Schematic, not to scale unless dimensions are given.

Given

Volume 0.380 m³
Initial pressure 205 kPa absolute
Temperatures 292 K and 345 K
R = 0.287 kJ/(kg K)

Find

Mass of air
Final absolute pressure

Assumptions

Air is ideal; container is perfectly rigid and sealed.

Independent Waypoint Mentor learning material. Not affiliated with or endorsed by any university.

Pressure rise in a sealed inspection tank

Given

Find

Assumptions

Worked solution