How to Determine Gas Pressure Using Two Different Pressure Gauges?

In summary, the vessel contains a gas and has two pressure gauges attached, one with liquid mercury and the other with an oil such as dibutyl phthalate. The difference in levels of mercury is 9.50 cm. Using the given values for density of mercury, oil, and acceleration due to gravity, the pressure of the gas can be found by using the formula P=pgh. This answer can then be used to find the difference in height of the oil by using the same formula with the given values for pressure, density of oil, and acceleration due to gravity.
  • #1
mahrap
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1. A vessel that contains a gas has two pressure gauges attached to it. One contains liquid mercury, and the other an oi lsuch as dibutyl phthalate. The difference in levels of mercury in the two arms of the mercury gauge is observed to be 9.50 cm.Given

density of mercury =13.60 g cm-3
density of oil = 1.045 g cm -3
acceleration due to gravity = 9.806 m s-2

(a) What is the pressure of the gas?
(b) What is the difference in height of the oil in the two arms of the oil pressure gauge?



2. Pressure = density * g * h


3. for part a, do i find the pressure of the gas by using P=pgh and just plugging in the density of mercury, the height difference, and the gravitational constant?

and can i just use that answer to find the difference in height of the oil by using P=pgh with P=the pressure from a, g, and p=the density of oil?
 
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  • #2
If I understand the problem correctly - yes.
 

FAQ: How to Determine Gas Pressure Using Two Different Pressure Gauges?

What is the ideal gas law and how does it relate to pressure in chemistry?

The ideal gas law is a mathematical equation that describes the relationship between pressure, volume, temperature, and number of moles of a gas. In chemistry, it is often used to calculate the pressure of a gas in a closed system.

How do you calculate pressure using the ideal gas law?

The ideal gas law can be written as P = (nRT)/V, where P is pressure, n is the number of moles of gas, R is the ideal gas constant, T is the temperature in Kelvin, and V is the volume. To calculate pressure, simply rearrange the equation to solve for P.

What units are used to measure pressure in chemistry?

Pressure in chemistry is typically measured in units of atmospheres (atm), millimeters of mercury (mmHg), or kilopascals (kPa). These units can easily be converted to one another using conversion factors.

How does temperature affect the pressure of a gas in chemistry?

According to the ideal gas law, as temperature increases, the pressure of a gas also increases, assuming all other variables are held constant. This is because as temperature rises, the particles in the gas have more energy and collide with the walls of the container more frequently, exerting a greater pressure.

What factors can affect the pressure of a gas in a closed system?

The pressure of a gas in a closed system can be affected by several factors, including temperature, volume, and the number of moles of gas present. Changes in these variables can cause a change in pressure, according to the ideal gas law.

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