Free Molar Specific Heat of a Gas MCQs with Answers
98 Molar Specific Heat of a Gas MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.
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- A. the gas is hotter at constant pressure
- B. at constant pressure the gas also does work expanding against the surroundings
- C. the molecules move faster at constant pressure
- D. Cv is measured at a lower temperature
Explanation: At constant volume all the heat supplied raises the internal energy, but at constant pressure some of it is spent doing work as the gas…
Correct answer: at constant pressure the gas also does work expanding against the surroundings- A. Cp minus Cv equals R
- B. Cp plus Cv equals R
- C. Cp times Cv equals R
- D. Cp equals Cv
Explanation: Mayer's relation follows directly from the first law applied to a constant pressure heating, where the extra heat needed is the work of…
Correct answer: Cp minus Cv equals R- A. the average speed of its molecules
- B. the average kinetic energy of its molecules
- C. the number of molecules present
- D. the volume of the container
Explanation: Average translational kinetic energy per molecule is three halves kT, so it is the energy rather than the speed that is proportional to…
Correct answer: the average kinetic energy of its molecules- A. 8.314 J/mole K
- B. 6.5 J/mole K
- C. 1.314 J/mole K
- D. 10.314 J/mole K
Explanation: The universal gas constant has the value R = 8.314 J mol^-1 K^-1, equivalently 8.314 J/(mol K).
Correct answer: 8.314 J/mole K- A. Water
- B. Alcohol
- C. Methane
- D. Kerosene
Explanation: On a mass basis, water has a very high specific heat capacity, about 4.18 kJ/kg·K, compared with alcohol, methane, and kerosene under…
Correct answer: Water- A. Sudden compression of gases
- B. Sudden expansion of gases
- C. Cooling of gases
- D. Heating of gases
Explanation: The Joule-Thomson effect occurs when a real gas undergoes throttling, usually through a porous plug or narrow valve, causing a pressure…
Correct answer: Sudden expansion of gases- A. 1.67
- B. 1.4
- C. γ = 1.3
- D. None
Explanation: For a diatomic ideal gas at ordinary temperatures, gamma = Cp/Cv = 7/5 = 1.4 because the molecules have translational and rotational…
Correct answer: 1.4- A. 3NaT/2R
- B. 2NaT/3
- C. 3RT/2Na
- D. 3Na/2RT
Explanation: The average translational kinetic energy per molecule is 3kT/2, and k = R/Na, so it becomes 3RT/(2Na) joules per molecule.
Correct answer: 3RT/2Na- A. K = RNa
- B. K = R/Na
- C. K = Na/Ra
- D. K = nRNa
Explanation: Boltzmann's constant is the gas constant per molecule, so k = R/Na. For example, R has units J mol^-1 K^-1 and Na has units mol^-1, giving…
Correct answer: K = R/Na- A. Specific heat of Vaporization
- B. Specific heat capacity
- C. Caloric heat
- D. Both Options A and B are correct
Explanation: Specific heat capacity is the quantity of heat needed to raise the temperature per unit mass (the amount of heat needed to raise the…
Correct answer: Specific heat capacity- A. γ= Cp/Cv
- B. Cp+Cv=γ
- C. Cp=1+R/Cv
- D. Cp=1-R/Cv
Explanation: Boyle's Law describes the inverse relationship between the pressure and volume of a gas at constant temperature.
Correct answer: γ= Cp/Cv- A. heat capacities
- B. volume
- C. thermal conductivities
- D. co efficient of expensation
Explanation: Heat capacity is the measure of how much heat energy is required to raise the temperature of a substance by a certain amount.
Correct answer: heat capacities- A. Cp = Cv
- B. Cv > Cp
- C. Cv < Cp
- D. Cv ≥ Cp
Explanation: For an ideal gas, during an isochoric (constant volume) process, the specific heat at constant volume (Cv ) is equal to the specific heat…
Correct answer: Cp = Cv- A. Translational
- B. Vibrational
- C. Rotational
- D. All
Explanation: Diatomic molecules possess translational kinetic energy (related to their overall motion), vibrational kinetic energy (due to the…
Correct answer: All- A. R/ NA
- B. NA/R
- C. 1/ R×NA
- D. R×NA
Explanation: Boltzmann's constant (k) is defined as the universal gas constant (R) divided by Avogadro's number (NA ). It is denoted as k= R/ NA .
Correct answer: 1/ R×NA- A. Double
- B. Four times
- C. Half
- D. Remains the same
Explanation: According to the kinetic theory of gases, pressure is directly proportional to the mean square velocity of gas molecules.
Correct answer: Four times- A. Copper
- B. Aluminum
- C. Iron
- D. Ice
Explanation: The specific heat is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius.
Correct answer: Ice- A. 4.51 J/g
- B. 4.18 J/g
- C. 4.92 J/g
- D. 4.21 J/g
Explanation: The heat capacity of water is approximately 4.18 joules per gram per degree Celsius (J/g°C).
Correct answer: 4.18 J/g- A. 2/5R
- B. 2/7R
- C. 5/2R
- D. 7/2R
Explanation: For an ideal gas, the relationship between molar specific heats is given by Mayer's formula: Cp - Cv = R.
Correct answer: 7/2R- A. Cp + Cv = R
- B. Cp - R = Cv
- C. Cv - R = Cp
- D. Cp + R = Cv
Explanation: Mayer's formula describes the relationship between the molar specific heats for an ideal gas, which is Cp - Cv = R.
Correct answer: Cp - R = CvMolar Specific Heat of a Gas MCQs: common questions
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