Question

The first accurate measurements of the properties of high-pressure gases were made by E. H. Amagat in France between 1869 and 1893. Before developing the dead-weight gauge, he worked in a mineshaft and used a mercury manometer for measurements of pressure to more than 400 bar. Estimate the height of the manometer required.

Answer 1

Height, h = 300.27 meters

Step-by-step explanation:

Given that,

Pressure of the gas,
`P=400\ bar=4* 10^7\ Pa`

We need to find the height of the manometer required. The pressure at a height is given by :

`P=\rho gh`

Where

`\rho` is the density of mercury,
`\rho=13593\ kg/m^3`

h is the height of the manometer required.

`h=(P)/(\rho g)`

`h=(4* 10^7)/(13593* 9.8)`

h = 300.27 meters

So, the height of the manometer required is 300.27 meters. Hence, this is the required solution.