Question

The average surface pressure on Mars is 0.80 kPa and the acceleration of gravity is only 3.7 m/s2. With a
barometer on Mars, what is the height of the column of mercury, assuming that mercury is liquid with a
density of 13.6 × 103 kg/m3?

Answer 1

Do you remember\[P=\rho g h\]?

Answer 2

I'm not sure, about unit

Answer 3

Pressure will be in pascals
\[800=(13.6)(3.7)(h) \\ \\ h=\frac{800}{13.6 \times 3.7}\]

Answer 4

\[800=(13.6)(3.7)(h) \\ \\ h=\frac{800}{(13.6\times 10^3) \times 3.7} \huge ^{*}\]

Answer 5

Ok thank u so much

Answer 6

We don't care about unit?

Answer 7

The answers is 16mm

Answer 8

Yeah

Answer 9

The units cancels out giving meters, which is height.

Answer 10

Is 16mm the actual answer or that's what you found out?

Answer 11

Nope, that is my teacher answer

Answer 12

ok we got that

Answer 13

\[800Pa=(13.6\times 10^{3}kgm^{-3})(3.73.7ms^{-2})(h)\]
Pascal has units \(\Large kgm^{-1}s^{-1}\)
\[h=\frac{800kgm^{-1}s^{-1}}{(13.6\times 10^3kgm^{-3}) \times 3.7ms^{-2}}\]
\[h=0.0159m=0.016m=16mm\]

Answer 14

Thanks