The humidity at dry-bulb temperature of 20oC is 10% and the humidity at dry-bulb temperature of 23oC is 4%, what is the slope of adiabatic cooling line?

The humidity at dry-bulb temperature of 20oC is 10% and the humidity at dry-bulb temperature of 23oC is 4%, what is the slope of adiabatic cooling line? Correct Answer -0.02

Slope of adiabatic cooling line = (0.1 – 0.04)/(20 – 23) = -0.02.

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On a P-V diagram of an ideal gas, suppose a reversible adiabatic line intersects a reversible isothermal line at point A. Then at a point A, the slope of the reversible adiabatic line $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}}$$  and the slope of the reversible isothermal line $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$  are related as (where, $${\text{y}} = \frac{{{{\text{C}}_{\text{p}}}}}{{{{\text{C}}_{\text{v}}}}}$$  )