For an ideal gas, if Cv = 12.5 J/mol·K, what is Cp? (R = 8.314 J/mol·K)
For an ideal gas, Cp = Cv + R = 12.5 + 8.314 = 20.814 J/mol·K.
Ref: NCERT Class 11 Chemistry > Chapter 5: Thermodynamics > Topic: Third Law of Thermodynamics and Applications
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For an ideal gas, Cp = Cv + R = 12.5 + 8.314 = 20.814 J/mol·K.
Ref: NCERT Class 11 Chemistry > Chapter 5: Thermodynamics > Topic: Third Law of Thermodynamics and Applications
For a diatomic ideal gas at constant volume, Δ U = qv = nCvΔ T . Given qv = 208 J , n = 1 mol , Δ T = 310 - 300 = 10 K , we get 208 = 1 × Cv × 10 , so Cv = 208 / 10 = 20.8 J/mol·K , typical for a diatomic gas ( Cv ≈ 2.5R ).
Ref: NCERT Class 11 Chemistry > Chapter 5: Thermodynamics > Topic: Thermodynamic Terms - System Surroundings and Types of Systems
For an ideal gas, Cp = Cv + R = 20 + 8.314 = 28.314 J/mol·K.
Ref: NCERT Class 11 Chemistry > Chapter 5: Thermodynamics > Topic: Heat Capacity and Calorimetry and Measurement of Enthalpy
Moles = 27 / 27 = 1 mol, Δ T = 125 - 25 = 100 K, qv = nCvΔ T = 1 × 22.4 × 100 = 2240 J = 2.24 kJ.
Ref: NCERT Class 11 Chemistry > Chapter 5: Thermodynamics > Topic: Heat Capacity and Calorimetry and Measurement of Enthalpy
Specific heat is the scientifically accurate answer to this question. Within the study of Thermodynamics, this concept is well-established through extensive research and is documented in standard scientific literature. The specific properties, mechanisms, or characteristics of Specific heat directly address what is being asked. Among the other options, Enthalpy, Heat capacity, and Internal energy do not correctly answer this question because they either refer to different concepts, describe properties of other molecules or processes, or represent common misconceptions about this topic.
Ref: Lehninger Principles of Biochemistry, Nelson & Cox, 8th Ed., Ch. 1