Chemistry

Gallium melts just above room temperature and is liquid over a very wide temperature range (30-2204 °C), which means it would be a suitable fluid for a high-temperature barometer. Given its density, daa = 6.0 g/cm, what would be the height of the column if gallium is used as the barometer fluid and the external pressure is 9.5 x 10^4 Pa?

I need help finding the answer.

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  1. consider the weight of a column of Gallium of area 1m^2
    weight=9.8N/kg*1m^2*h*density

    but weight=pressure*1m^2
    change 6g/cm^3 to kg/m^3
    6g/cm^3*1e6cm^3/m^3 * 1kg/1e3g)
    = 6e3 kg/m^3 then
    9.5e4=9.8*h*6e3
    height= 95/(9.8*6)=1.62 meters

    mental check: height of water column at 101kPa is 10 m, this is about 6x as dense as water, so h=about 10/6=1.7m

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    bobpursley

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