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Can a Process on an Ideal Gas Be Both Adiabatic and Isothermal? - Physics

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प्रश्न

Can a process on an ideal gas be both adiabatic and isothermal?

संक्षेप में उत्तर

उत्तर

According to the first law of thermodynamics, change in internal energy, ΔU is equal to the difference between heat supplied to the gas, Δ Q and the work done on the gas,​ ΔW, 

such that ΔQ = ΔU +ΔW . In an adiabatic process, ΔQ =0  and in an isothermal  process, change in temperature, Δ T =0. Therefore,

ΔQ = ΔU + ΔW

⇒ ΔQ = nCvΔT +ΔW

⇒ 0 =nCv(0) + Δ W

⇒ Δ W = 0 ,

if the process is adiabatic as well as isothermal, no work will be done. So, a process on an ideal gas cannot be both adiabatic and isothermal.

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अध्याय 5: Specific Heat Capacities of Gases - Short Answers [पृष्ठ ७६]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 5 Specific Heat Capacities of Gases
Short Answers | Q 6 | पृष्ठ ७६

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