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The ratio of adiabatic elasticity to isothermal elasticity is given by the specific heat ratio (γ), which is defined as the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv). For an ideal gas, γ is typically greater than 1, indicating that adiabatic processes involve greater changes in pressure and volume compared to isothermal processes. This relationship highlights how the temperature changes under adiabatic conditions differ from those under isothermal conditions.
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What does unitary demand mean?
Unitary is a reference to the type of demand elasticity. Unitary demand elasticity occurs when the elasticity of demand = 1. This indicates that the level of demand changes in-sync with the price at a 1:1 ratio.
Difference between arc and point elasticity?
1) Point elasticity is measured by the ratio of the lower segment of the curve below the given point to uppa segment the super part of the curve above the point. 2) Arc elasticity is measured by the use of mid point between the old & the new figures in the case of both prine and qualitiy demonded.
What is the elasticity of substitution formula and how is it used to measure the responsiveness of the substitution between two factors of production?
The elasticity of substitution formula measures how easily one factor of production can be replaced by another in the production process. It is calculated as the percentage change in the ratio of two factors divided by the percentage change in their marginal rate of technical substitution. A higher elasticity indicates that factors are more easily substituted, while a lower elasticity suggests they are less interchangeable.
What are two methods for calculating elasticity of demand?
Two common methods for calculating elasticity of demand are the percentage change method and the point elasticity method. The percentage change method involves dividing the percentage change in quantity demanded by the percentage change in price. The point elasticity method, on the other hand, uses calculus to calculate elasticity at a specific point on the demand curve, typically by taking the derivative of the demand function and multiplying it by the price-quantity ratio. Both methods provide insight into how sensitive consumers are to price changes.
What are different types of elasticity?
The elasticity of demand refers to how sensitive the demand for a good is to changes in other economic variables. The different types are: price elasticity, income elasticity, cross elasticity and advertisement elasticity.
What are the key differences between an adiabatic and isothermal graph in thermodynamics?
In thermodynamics, the key difference between an adiabatic and isothermal graph is how heat is transferred. In an adiabatic process, there is no heat exchange with the surroundings, while in an isothermal process, the temperature remains constant throughout the process.
Why carnot cycle is called a two adiabatic and two isothermal process?
Adiabatic means there's no heat transference during the process; Isothermal means the process occurs at constant temperature. The compression and expansion processes are adiabatic, whereas the heat transfer from the hot reservoir and to the cold reservoir are isothermal. Those are the two adiabatic and isothermal processes.
What does a sudden burst of cycle tire represent the opsions are 1.isothermal 2.isobaric 3.adiabatic?
adiabatic
What are the differences between adiabatic, isothermal, and isobaric processes in thermodynamics?
In thermodynamics, adiabatic processes do not involve heat exchange, isothermal processes occur at constant temperature, and isobaric processes happen at constant pressure.
Why an adiabatic curve steeper than an iosthermal?
In isothermal the temperature is constant whereas in adiabatic the temperature falls or rises rapidly.Consider the case for expansion where in adiabatic the temperature drops. If you consider PV/T=constant then for same pressure we can show that as temp decreases the volume also decreases. During expansion for isothermal the temp does not change so volume is higher than adiabatic. Example: Isothermal P=8 Pa, V=x , T=2K Adiabatic P=8 Pa, V=y, T=1K (as it drops) Using PV/T=constant we can find that y is less than x.
How does work in an isothermal process differ from work in an adiabatic process?
In an isothermal process, the temperature remains constant, so work is done slowly to maintain this temperature. In an adiabatic process, there is no heat exchange with the surroundings, so work is done quickly, causing a change in temperature.
Does a parcel of air that rises undergo isothermal expansion?
No, a parcel of air that rises undergoes adiabatic expansion, not isothermal expansion. This is because adiabatic processes involve changes in temperature due to the parcel's expansion or compression without any heat exchange with the surroundings, while isothermal processes involve constant temperature.
What are the four processes that make up the carnot cycle?
The Carnot cycle consists of four key processes: isothermal expansion, isothermal compression, adiabatic expansion, and adiabatic compression. In the isothermal expansion phase, the working substance absorbs heat from a hot reservoir while expanding, doing work on the surroundings. During isothermal compression, it releases heat to a cold reservoir while being compressed. The adiabatic processes involve the working substance expanding and compressing without heat exchange, allowing the temperature to change due to work done on or by the system.
What is different between adiabatic system and isothermal system?
An isothremal process is one in which the temperature is constant. heat can be gained or lost in order to maintain a constant tempereature. An adiabatic process is one in which there is no heat exchange between a system and its surroundings. It does not matter whether the temperature of the system is constant or not.
What are the condition for ideal fluid?
1.Isothermal expansion at a high temperature AB 2.Adiabatic expansion as the temperature falls to a lower rule BC 3.Isothermal compression at lower temperature CD 4.Adiabatic compression as temperature increase to initial high volume DA
What are the key differences between adiabatic and isothermal processes on a PV diagram?
In an adiabatic process, there is no heat exchange with the surroundings, leading to steeper slopes on a PV diagram compared to an isothermal process where temperature remains constant. This results in different shapes and behaviors on the PV diagram for each process.
What are the key principles and processes involved in the Carnot power cycle?
The Carnot power cycle is based on four key principles: reversible isothermal expansion, reversible adiabatic expansion, reversible isothermal compression, and reversible adiabatic compression. The cycle involves transferring heat energy from a high-temperature reservoir to a working fluid, which then performs work by expanding and contracting. The efficiency of the Carnot cycle is determined by the ratio of the temperatures of the hot and cold reservoirs.
