☰ Contents · Physics

Isobaric and isochoric processes

Lessons 11–12 · 2 lessons · P. Habibullayev, A. Boydedayev, A. Bahromov, K. Suyarov, J. Usarov, M. Yuldasheva. Physics Grade 9, revised and expanded 3rd edition. G‘afur G‘ulom Publishing House, Tashkent, 2019
11

The isobaric process

Textbook: pp. 35–36
GoalKnow and apply the isobaric process and the Gay-Lussac law; describe an isobar.
New words
isobaric process · izobarik jarayonGay-Lussac law · Gey-Lyussak qonuniisobar · izobaraconstant pressure · o‘zgarmas bosim
Explanation

A change of state of a gas at constant mass and pressure is called an isobaric process (“baros” means pressure). Writing the equation of state for two states with p = const and dividing term by term gives V₁/T₁ = V₂/T₂. This is the law found experimentally in 1802 by the French physicist Gay-Lussac: at constant pressure the ratio of the volume of a given mass of gas to its absolute temperature is constant, i.e. V ∝ T. So if T doubles, the volume doubles too. On a V–T graph an isobar is a straight line through the origin; a higher pressure gives a less steep isobar, lying closer to the temperature axis, because the volume at a given T is smaller. Heating a gas under a freely moving piston, or a hot-air balloon, are examples of isobaric processes.

Worked examples
4 l of gas under a piston is at 7 °C. Heated isobarically to 147 °C (T₁ = 280 K, T₂ = 420 K): V₂ = V₁T₂/T₁ = 4·420/280 = 6 l.
8 l of gas at 400 K is cooled isobarically until its volume is 5 l. T₂ = T₁V₂/V₁ = 400·5/8 = 250 K = –23 °C.
Class activity

Put a soft balloon filled with air (inflated, tied firmly) from the room into a cold place (a fridge or by an open door) and watch how its volume changes; then return it to the room. Never put the balloon near a heat source or heat it; ask an adult.

Practice
1
State the Gay-Lussac law.
2
3 l of gas is heated isobarically from 27 °C to 177 °C. Find the final volume.
3
What kind of line is an isobar on a V–T graph?
4
Why does the piston rise when gas in a vessel with a free piston is heated?