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 phy131studiof15:lectures:chapter21 [2015/11/18 09:20]mdawber [Molar Specific Heat for Gases] phy131studiof15:lectures:chapter21 [2015/11/18 09:21]mdawber [Molar Specific Heat for Gases] Both sides previous revision Previous revision 2015/11/18 09:21 mdawber [Vibrational degrees of freedom] 2015/11/18 09:21 mdawber [Molar Specific Heat for Gases] 2015/11/18 09:20 mdawber [Molar Specific Heat for Gases] 2015/11/18 09:19 mdawber [Isobaric and Isovolumetric processes] 2015/11/18 09:08 mdawber [Constant volume molar heat capacity for an ideal gas] 2015/11/18 09:07 mdawber [21.P.047] 2015/11/16 13:34 mdawber [Quasistatic adiabatic expansion of a Gas] 2015/11/16 13:33 mdawber [Vibrational degrees of freedom] 2015/11/16 13:31 mdawber [Path dependence of the work] 2015/11/16 13:09 mdawber [Latent Heat] 2015/11/16 13:08 mdawber [Systems] 2015/07/22 12:46 mdawber [Latent Heat] 2015/07/22 12:31 mdawber created 2015/11/18 09:21 mdawber [Vibrational degrees of freedom] 2015/11/18 09:21 mdawber [Molar Specific Heat for Gases] 2015/11/18 09:20 mdawber [Molar Specific Heat for Gases] 2015/11/18 09:19 mdawber [Isobaric and Isovolumetric processes] 2015/11/18 09:08 mdawber [Constant volume molar heat capacity for an ideal gas] 2015/11/18 09:07 mdawber [21.P.047] 2015/11/16 13:34 mdawber [Quasistatic adiabatic expansion of a Gas] 2015/11/16 13:33 mdawber [Vibrational degrees of freedom] 2015/11/16 13:31 mdawber [Path dependence of the work] 2015/11/16 13:09 mdawber [Latent Heat] 2015/11/16 13:08 mdawber [Systems] 2015/07/22 12:46 mdawber [Latent Heat] 2015/07/22 12:31 mdawber created Last revision Both sides next revision Line 227: Line 227: ===== Molar Specific Heat for Gases ===== ===== Molar Specific Heat for Gases ===== - We previously introduced the [[phy141:​lectures:​35&#​specific_heat_capacity|specific heat]] which gives the [[wp>​Heat_capacity|heat capacity]] heat capacity of a material per unit mass. Here we will use molar specific heats for gases at constant pressure $c_{P,m}$ and constant volume $c_{V,m}$ and explain the difference between these on the basis of the first law of thermodynamics. + We previously introduced the specific heat which gives the [[wp>​Heat_capacity|heat capacity]] heat capacity of a material per unit mass. Here we will use molar specific heats for gases at constant pressure $c_{P,m}$ and constant volume $c_{V,m}$ and explain the difference between these on the basis of the first law of thermodynamics. If we increase the temperature of a gas by $\Delta T$ at constant volume $Q_{V}$ then the first law tells us that If we increase the temperature of a gas by $\Delta T$ at constant volume $Q_{V}$ then the first law tells us that