is the equation p=RT valid for both isothermal and adiabatic process ?
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in an adiabatic process (in which no heat is absorbed). The ideal gas equation of state can be differentiated, yielding
The temperature increment can be eliminated between the above two expressions to give
which reduces to
Dividing through
It turns out that is a very slowly varying function of temperature in most gases. So, it is always a fairly good approximation to treat the ratio of specific heats as a constant, at least over a limited temperature range. If is constant then we can integrate Eq.
The temperature increment can be eliminated between the above two expressions to give
which reduces to
Dividing through
It turns out that is a very slowly varying function of temperature in most gases. So, it is always a fairly good approximation to treat the ratio of specific heats as a constant, at least over a limited temperature range. If is constant then we can integrate Eq.
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