Science, Tech, Math › Science Avogadro's Law Example Problem Learn the steps to take to solve this gas law problem Share Flipboard Email Print Avogadro's Law is one of the gas laws. Frederic Simonnet/Getty Images Science Chemistry Chemical Laws Basics Molecules Periodic Table Projects & Experiments Scientific Method Biochemistry Physical Chemistry Medical Chemistry Chemistry In Everyday Life Famous Chemists Activities for Kids Abbreviations & Acronyms Biology Physics Geology Astronomy Weather & Climate By Todd Helmenstine Todd Helmenstine is a science writer and illustrator who has taught physics and math at the college level. He holds bachelor's degrees in both physics and mathematics. our editorial process Todd Helmenstine Updated January 05, 2019 Avogadro's gas law states the volume of a gas is proportional to the number of moles of gas present when the temperature and pressure are held constant. This example problem demonstrates how to use Avogadro's law to determine the volume of a gas when more gas is added to the system. Avogadro's Law Equation Before you can solve any problem regarding Avogadro's gas law, it's important to review the equation for this law. There are a few ways to write this gas law, which is a mathematical relation. It may be stated: k = V/n Here, k is a proportionality constant, V is the volume of a gas, and n is the number of moles of a gas. Avogadro's law also means the ideal gas constant is the same value for all gases, so: constant = p1V1/T1n1 = P2V2/T2n2V1/n1 = V2/n2V1n2 = V2n1 where p is pressure of a gas, V is volume, T is temperature, and n is number of moles. Avogadro's Law Problem A 6.0 L sample at 25°C and 2.00 atm of pressure contains 0.5 mole of a gas. If an additional 0.25 mole of gas at the same pressure and temperature are added, what is the final total volume of the gas? Solution First, express Avogadro's law by its formula: Vi/ni = Vf/nfwhereVi = initial volumeni = initial number of molesVf = final volumenf = final number of moles For this example, Vi = 6.0 L and ni = 0.5 mole. When 0.25 mole is added: nf = ni + 0.25 molenf = 0.5 mole = 0.25 molenf = 0.75 mole The only variable remaining is the final volume. Vi/ni = Vf/nf Solve for Vf Vf = Vinf/niVf = (6.0 L x 0.75 mole)/0.5 moleVf = 4.5 L/0.5 Vf = 9 L Check to see if the answer makes sense. You would expect the volume to increase if more gas is added. Is the final volume greater than the initial volume? Yes. Doing this check is useful because it is easy to put the initial number of moles in the numerator and the final number of moles in the denominator. If this had happened, the final volume answer would have been smaller than the initial volume. Thus, the final volume of the gas is 9.0 Notes Regarding Avogadro's Law Unlike Avogadro's number, Avogadro's law was actually proposed by Amedeo Avogadro. In 1811, he hypothesized two samples of an ideal gas with the same volume and at the same pressure and temperature contained the same number of molecules.Avogadro's law is also called Avogadro's principle or Avogadro's hypothesis.Like the other ideal gas laws, Avogadro's law only approximates the behavior of real gases. Under conditions of high temperature or pressure, the law is inaccurate. The relation works best for gases held at low pressure and ordinary temperatures. Also, smaller gas particles—helium, hydrogen, and nitrogen—yield better results than larger molecules, which are more likely to interact with each other.Another mathematical relation used to express Avogadro's law is: V/n = k Here, V is the volume, n is the number of moles of the gas, and k is the proportionality constant. It's important to note this means the ideal gas constant is the same for all gases.