You are in the office processing some survey data from a control survey for monitoring of the Snowy

Mountains Hydroelectric Scheme, and you are finding that the field measurements are consistently

long by $58$ ppm when compared to existing survey marks in the area.

You suspect the pressure was not entered correctly in the field, so you decide to check the

instrument$-$calculated ppm value used for the field observations. The survey was completed using a

Sokkia X $1001$ Robotic total station, and the atmospheric conditions entered at the time of

observations were:

Temperature $=-3\mathrm{.}5C$;

Pressure $=1011\mathrm{.}4$hPa $(tobe$ confirmed $or$ corrected$)$;

Humidity $=96\%$

Calculated $ppm=-11\mathrm{.}4ppm$

The formula used by the instrument to calculate the ppm value is:

$282\mathrm{.}324-\frac{0\mathrm{.}294280p}{1-0\mathrm{.}003661t}+\frac{0\mathrm{.}04126e}{1+0\mathrm{.}003661t}$

Where

$p$ is field pressure

$t$ is field temperature

$e$ is water vapour pressure

Water vapour pressure is calculated by:

$e=\frac{h}{100}6\mathrm{.}11{10}^j$

Where

$h$ is field humidity

$jis\frac{7\mathrm{.}5t}{(t+237\mathrm{.}3)}$

$t$ is field temperature

Calculate the pressure that should have been entered into the instrument at the time of the field

survey, based on your office calculated ppm value and the entered instrument ppm value.