On a warm day with temperatures of $24$ deg Celcius, and atmosheric pressure of $1\mathrm{.}013$x$10^5$ Pa$.$

$($a$)$ Determine the saturation vapour pressure using the integral of the Clausius Clapeyron equation

$($b$)$ Determine percentage relative humidity, if the partial pressure of water is $1350$ Pa$.$

$($c$)$ What is the required partial pressure of water vapour in air so that the air is at $100\%$ humidity?