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Question
An ideal gas has an initial volume V and pressure P. In doubling its volume the minimum work done will be in (of the given processes):
An ideal gas has an initial volume V and pressure P. In doubling its volume the minimum work done will be in (of the given processes):
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Solution
The correct option is B Isothermal process
The
isothermal case delivers more work because it has heat supplied to it, some
fraction of which is converted to work. But for a given increment in volume,
the adiabatic case begins to deliver more work. In the adiabatic case, as the
volume fraction approaches infinity, the specific volume is made smaller by the
fact that the temperature must decrease, but this is not the case for the
isothermal expansion.Answer B:
The isothermal case delivers more work because it has heat supplied to it, some fraction of which is converted to work. But for a given increment in volume, the adiabatic case begins to deliver more work. In the adiabatic case, as the volume fraction approaches infinity, the specific volume is made smaller by the fact that the temperature must decrease, but this is not the case for the isothermal expansion.
Answer B:
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