Respuesta :
Answer : The height of the column in a barometer is, 10.3 m
Explanation :
To calculate the height of the column in a barometer we are using formula as:
[tex]P=h\rho g[/tex]
where,
P = external pressure = [tex]101kPa=101\times 10^3kg/m.s^2[/tex]
Conversion used : [tex]1kPa=10^3kg/m.s^2[/tex]
h = height of the column in a barometer = ?
[tex]\rho[/tex] = density of water = [tex]1.00g/cm^3=1000kg/m^3[/tex]
Conversion used : [tex]1g/cm^3=1000kg/m^3[/tex]
g = constant of gravity = [tex]9.81m/s^2[/tex]
Now put all the given values in the above formula, we get:
[tex]101\times 10^3kg/m.s^2=h\times 1000kg/m^3\times 9.81m/s^2[/tex]
[tex]h=10.3m[/tex]
Therefore, the height of the column in a barometer is, 10.3 m
