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The Ideal Gas Equation - R Units Value L atm/mol K 0.08206...

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The Ideal Gas Equation The three historically important gas laws derived relationships between two physical properties of a gas, while keeping other properties constant: These different relationships can be combined into a single relationship to make a more general gas law: If the proportionality constant is called "R", then we have: Rearranging to a more familiar form: This equation is known as the ideal-gas equation An "ideal gas" is one whose physical behavior is accurately described by the ideal-gas equation The constant R is called the gas constant o The value and units of R depend on the units used in determining P , V , n and T o Temperature, T , must always be expressed on an absolute-temperature scale ( K ) o The quantity of gas, n , is normally expressed in moles o The units chosen for pressure and volume are typically atmospheres ( atm ) and liters ( l ), however, other units may be chosen o PV can have the units of energy:
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Therefore, R can include energy units such as Joules or calories Values for the gas constant
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Unformatted text preview: R Units Value L atm/mol K 0.08206 cal/mol K 1.987 J/mol K 8.314 m 3 Pa/mol K 8.314 L torr/mol K 62.36 Example: If we had 1.0 mol of gas at 1.0 atm of pressure at 0°C (273.15 K), what would be the volume? PV = nRT V = nRT/P V = (1.0 mol)(0.0821 L atm/mol K)(273 K)/(1.0 atm) V = 22.41 L • 0 °C and 1 atm pressure are referred to as the standard temperature and pressure (STP) The molar volume of an ideal gas (any ideal gas) is 22.4 liters at STP Example: Nitrate salts (NO 3-) when heated can produce nitrites (NO 2-) plus oxygen (O 2 ). A sample of potassium nitrate is heated and the O 2 gas produced is collected in a 750 ml flask. The pressure of the gas in the flask is 2.8 atmospheres and the temperature is recorded to be 53.6 °C. How many moles of O 2 gas were produced? PV = nRT n = PV/RT n = (2.8 atm * 0.75 L) / (0.0821 L atm/mol K * (53.6 + 273)K n = (2.1 atm L) / (26.81 L atm/mol) n = 0.078 mol O 2 were produced...
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The Ideal Gas Equation - R Units Value L atm/mol K 0.08206...

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