Question

The sensitivity of a hot cathode pressure gauge is 1 10mbar . If the ratio between the
numbers of the impinging charged particles to emitted electrons is 1:10 , then the
pressure

Answer 1

$P_1=1.1$ mbar

According to molecular kinetic theory:

$P=nkT$, $n=\frac{N}{V}$

$PV=NkT$

So, if $N_1:N_2=1:10$, then $P_1:P_2=1:10$

We have that

$P_2=10P_1=11$ mbar