For a given sample of water in closed container the molecules of water present under given volume should be determined. Concept Introduction: Ideal gas Equation: Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation. V ∝ nT P V = R nT P PV = nRT where, n = moles of gas P = pressure T = temperature R = gas constant Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties. At lower temperature and at high pressures the gas tends to deviate and behave like real gases. Boyle’s Law: At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume. Charles’s Law: At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature. Avogadro’s Hypothesis: Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.
For a given sample of water in closed container the molecules of water present under given volume should be determined. Concept Introduction: Ideal gas Equation: Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation. V ∝ nT P V = R nT P PV = nRT where, n = moles of gas P = pressure T = temperature R = gas constant Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties. At lower temperature and at high pressures the gas tends to deviate and behave like real gases. Boyle’s Law: At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume. Charles’s Law: At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature. Avogadro’s Hypothesis: Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.
Solution Summary: The author explains how the ideal gas equation can be obtained by combining Boyle's, Charles’s Law, and Avogadro.
For a given sample of water in closed container the molecules of water present under given volume should be determined.
Concept Introduction:
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
V ∝nTPV = RnTPPV = nRTwhere,n = moles of gasP = pressureT = temperatureR = gas constant
Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties. At lower temperature and at high pressures the gas tends to deviate and behave like real gases.
Boyle’s Law:
At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.
Charles’s Law:
At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.
Avogadro’s Hypothesis:
Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.
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