1. ## Transpose

2.)how do i transpose the following equation to make h the subject,

if a hot air ballon is subjected to an air pressure at a altitude h of 70.129kPa
the atmostpheric pressure at sea level P0 is 101.325kPa
and coefficient k is -8152
find the height from the sea level, of the hot air balloon.

2. ## Hi

This looks like a classical schoolbook differentialequation solution.
To make h the subject, you need to use the natural logarithm.

$p=p_{0}\cdot e^{\frac{h}{k}}$

$e^{\frac{h}{k}} = \frac{p}{p_{0}}$

$\frac{h}{k} = ln(\frac{p}{p_{0}})$

$h=k\cdot ln(\frac{p}{p_{0}})$

3. what is the height from sea level, of the hot air baloon?