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As temperature increases values of Cp, Cv and g for polyatomic gas
- a)Increases, Decreases, Decreases
- b)Increases, Decreases, Increases
- c)Increases, Increases, Decreases
- d)Decreases, Decreases, Increases
Correct answer is option 'C'. Can you explain this answer?
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As temperature increases values of Cp, Cv and g for polyatomic gasa)In...
Explanation:
Introduction:
Polyatomic gases are gases consisting of molecules that contain three or more atoms. Examples of polyatomic gases include carbon dioxide (CO2), water vapor (H2O), and ammonia (NH3). When studying the behavior of these gases, certain properties like specific heat capacity (Cp), molar heat capacity (Cv), and the ratio of specific heat capacities (γ or g) are important.
Specific Heat Capacity (Cp) and Molar Heat Capacity (Cv):
- Specific heat capacity (Cp) is the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius.
- Molar heat capacity (Cv) is the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius.
Ratio of Specific Heat Capacities (γ or g):
- The ratio of specific heat capacities (γ or g) is the ratio of Cp to Cv for a gas.
- For a polyatomic gas, the value of γ or g is greater than 1.
Effect of Temperature on Cp, Cv, and γ:
- As the temperature of a polyatomic gas increases, the values of Cp, Cv, and γ change.
- The correct answer is option 'C': Increases, Increases, Decreases.
Explanation for each option:
a) Increases, Decreases, Decreases:
- The specific heat capacity (Cp) and molar heat capacity (Cv) of a gas increase with an increase in temperature. This is because at higher temperatures, more energy is required to raise the temperature of the gas.
- The ratio of specific heat capacities (γ or g) for a polyatomic gas is greater than 1 and remains constant with temperature.
b) Increases, Decreases, Increases:
- The specific heat capacity (Cp) of a gas increases with temperature, but the molar heat capacity (Cv) decreases due to the increase in the number of degrees of freedom of the gas molecules.
- The ratio of specific heat capacities (γ or g) for a polyatomic gas is greater than 1 and remains constant with temperature.
d) Decreases, Decreases, Increases:
- The specific heat capacity (Cp) and molar heat capacity (Cv) of a gas decrease with an increase in temperature. This is because at higher temperatures, the gas molecules gain more kinetic energy and require less energy to increase their temperature.
- The ratio of specific heat capacities (γ or g) for a polyatomic gas is greater than 1 and remains constant with temperature.
Therefore, the correct answer is option 'C': Increases, Increases, Decreases.
Introduction:
Polyatomic gases are gases consisting of molecules that contain three or more atoms. Examples of polyatomic gases include carbon dioxide (CO2), water vapor (H2O), and ammonia (NH3). When studying the behavior of these gases, certain properties like specific heat capacity (Cp), molar heat capacity (Cv), and the ratio of specific heat capacities (γ or g) are important.
Specific Heat Capacity (Cp) and Molar Heat Capacity (Cv):
- Specific heat capacity (Cp) is the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius.
- Molar heat capacity (Cv) is the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius.
Ratio of Specific Heat Capacities (γ or g):
- The ratio of specific heat capacities (γ or g) is the ratio of Cp to Cv for a gas.
- For a polyatomic gas, the value of γ or g is greater than 1.
Effect of Temperature on Cp, Cv, and γ:
- As the temperature of a polyatomic gas increases, the values of Cp, Cv, and γ change.
- The correct answer is option 'C': Increases, Increases, Decreases.
Explanation for each option:
a) Increases, Decreases, Decreases:
- The specific heat capacity (Cp) and molar heat capacity (Cv) of a gas increase with an increase in temperature. This is because at higher temperatures, more energy is required to raise the temperature of the gas.
- The ratio of specific heat capacities (γ or g) for a polyatomic gas is greater than 1 and remains constant with temperature.
b) Increases, Decreases, Increases:
- The specific heat capacity (Cp) of a gas increases with temperature, but the molar heat capacity (Cv) decreases due to the increase in the number of degrees of freedom of the gas molecules.
- The ratio of specific heat capacities (γ or g) for a polyatomic gas is greater than 1 and remains constant with temperature.
d) Decreases, Decreases, Increases:
- The specific heat capacity (Cp) and molar heat capacity (Cv) of a gas decrease with an increase in temperature. This is because at higher temperatures, the gas molecules gain more kinetic energy and require less energy to increase their temperature.
- The ratio of specific heat capacities (γ or g) for a polyatomic gas is greater than 1 and remains constant with temperature.
Therefore, the correct answer is option 'C': Increases, Increases, Decreases.
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As temperature increases values of Cp, Cv and g for polyatomic gasa)Increases, Decreases, Decreasesb)Increases, Decreases, Increasesc)Increases, Increases, Decreasesd)Decreases, Decreases, IncreasesCorrect answer is option 'C'. Can you explain this answer?
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