For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.

For the second we might have to choose the volume of reactor or amount of cooling to be supplied ; ;

For a simple substance, during an adiabatic process in which the volume increases, the internal energy of the working substance must decrease

For a steady state process, the rate at which mass enters the volume is equal to the rate at which it leaves the volume.

For the same figure, a control volume analysis yields:

For mammals, the relationship between brain volume and body mass essentially follows a power law with an exponent of about 0. 75.

For a girl in puberty, during thelarche ( the breast-development stage ), the female sex hormones ( principally estrogens ) promote the sprouting, growth, and development of the breasts, in the course of which, as mammary glands, they grow in size and volume, and usually rest on her chest ; these development stages of secondary sex characteristics ( breasts, pubic hair, etc.

For instance, a BAC of 0. 10 means that 0. 10 % ( one tenth of one percent ) of a person's blood, by volume ( usually, but in some countries by mass ), is alcohol.

For example, an increase in pressure due to decreasing volume causes the reaction to shift to the side with the fewer moles of gas.

For impacts into highly porous materials, a significant crater volume may also be formed by the permanent compaction of the pore space.

For a given material, it can have a positive or negative sign or exceptionally it can be zero, and this can depend on the temperature, as it does for water about 4 C. The concept of latent heat with respect to volume was perhaps first recognized by Joseph Black in 1762.

For measurements at experimentally controlled volume, one can use the assumption, stated above, that the pressure of the body of calorimetric material is can be expressed as a function of its volume and temperature.

For measurement at constant experimentally controlled volume, the isochoric coefficient of pressure rise with temperature, is defined by

For measurements at experimentally controlled pressure, it is assumed that the volume of the body of calorimetric material can be expressed as a function of its temperature and pressure.

For measurements at experimentally controlled temperature, it is again assumed that the volume of the body of calorimetric material can be expressed as a function of its temperature and pressure, with the same provisos as mentioned just above.

For instance, volume and Riemannian curvature are invariants that can distinguish different geometric structures on the same smooth manifold — that is, one can smoothly " flatten out " certain manifolds, but it might require distorting the space and affecting the curvature or volume.

For many, the ō-daiko solo is the embodiment of power due to the size of the drum, the volume, and the endurance it takes to perform.

For systems where the volume is preserved by the flow, Poincaré discovered the recurrence theorem: Assume the phase space has a finite Liouville volume and let F be a phase space volume-preserving map and A a subset of the phase space.

For a given amount of substance contained in a system, the temperature, volume, and pressure are not independent quantities ; they are connected by a relationship of the general form:

For example, both the Egyptians and the Babylonians were aware of versions of the Pythagorean theorem about 1500 years before Pythagoras ; the Egyptians had a correct formula for the volume of a frustum of a square pyramid ;

For he seemed to sense at once that before him was no South Sea, but the solid bulk of the North American continent.

For example, the word " Amerika " in German has a one-to-one equivalence to its meaning in modern English: it may denote North America, South America, or both, and in some instances refers to the United States only.

For some communities such as in Papua New Guinea and South America ( except Chile, Colombia, Brazil, Uruguay, Argentina and Bolivia ), spiders are included in traditional foods.

For instance, the Northwest relies on local seafood, while in the South, Mexican flavors are extremely common.

For this reason a significant proportion of Australia's indigenous population lives in the Outback, in areas such as the Anangu Pitjantjatjara Yankunytjatjara lands in northern South Australia.

For example, they played Rhodesia ( the future Zimbabwe ) in 1910, 1924, 1938, 1955, 1962, 1968 & 1974 during their tours to South Africa.

For purposes of scoring and reference, each player is identified by one of the points of the compass and thus North and South play against East and West.

For example, he almost always uses the terms " Australes " and " Occidentales " for the South and West Saxons respectively, but in a passage in the first book he uses " Meridiani " and " Occidui " instead, as perhaps his informant had done.

For twenty years Unusual Films emphasized children's films and video production before, in 2011, it released Milltown Pride, a feature-length film set in 1920s Upstate South Carolina.

For example, a temperate grassland or shrubland biome is known commonly as steppe in central Asia, prairie in North America, and pampas in South America.

For instance, South Korea's Hyundai Heavy Industries sent PPS mobile generators to Cuba for the country's power grids.

" For a short time he attended King Edward VI Grammar School in Totnes, South Devon, but his health forced him back to private tutors for a time.

For example, South Korean writer Kim-kyong-li wrote a criticism named " Must Kill Confucius, This Nation will be Solved " ( 공자가 죽어야 나라가 산다, gongjaga jug-eoya nalaga sanda ).

For instance, sales of the South African white rhino have generated revenues that helped pay for protection.

For example, in Central and South America, corn ( maize ), both fresh and dried, is a staple food.

For an overview of critical psychology in South Africa, see Desmond Painter and Martin Terre Blanche's article on Critical Psychology in South Africa: Looking back and looking forwards.

For example, during 1933 about half the male heads of households on the Sioux reservations in South Dakota were employed by the CCC-ID.

For several decades beginning in the 1940s, the largest producer of dynamite in the world was the Republic of South Africa.

For elections to Dáil Éireann the city is divided into five constituencies: Dublin Central ( 4 seats ), Dublin North – Central ( 3 seats ), Dublin North-East ( 3 seats ), Dublin North – West ( 3 seats ), Dublin South – Central ( 5 seats ) and Dublin South – East ( 4 seats ).

For a brief period in the 8th century the kingdom encompassed the Kentish Kingdom to the South.

For example the late Alam Lohar is a good example of a classical South Asian folk singer of great repute.

For that reason, Fiji was persisting in its efforts to persuade Australia to renew the South Pacific Regional Trade and Economic Cooperation – Textile Clothing Footwear ( SPARTECA – TCF ) scheme, to improve the competitiveness of Fijian exports, the Fiji Live news service reported.

For harbors near the North and South Poles, being ice-free is an important advantage, especially when it is year-round.