Question

Why adiabetuc curve is more steeper than isothermal

Answer 1

hey friend
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when you do an isothermal compression, you let some heat out, but in an adiabatic compression, no heat is let out; instead it just stays in the system. Letting heat out of the isothermally compressed system helps bring down the pressure. So the pressure will not rise as steeply when the system is compressed isothermally.

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hope it helps you
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Answer 2

This is because the slope of adiabatic curve has an extra factor of  'ɣ'  multiplied to it , which makes it more steeper as compared to isothermal curve.

Slope of adiabatic curve is -ɣdP/dV while the slope of isothermal curve is dP/dV .