A manometer connected 2 flasks contains an oil density 0.847g/cc .The oil arm connected to flask A is 74cm higher than the oil in the arm connected to flask B. The gas in flask A has a pressure of 97.7 kpa. What is the pressure of gas in B?

Question

Answer

Given information:
- Density of oil: 0.847 g/cc
- Height of oil in flask A: 74 cm higher than the oil in flask B
- Pressure of gas in flask A: 97.7 kPa

To find:
- Pressure of gas in flask B

Assumptions:
- The density of the oil remains constant throughout the experiment.
- The height difference between the oil levels is the only factor affecting the pressure difference.

Explanation:

1. Understanding Manometer:
A manometer is a device used to measure the pressure of a gas. It consists of a U-shaped tube filled with a liquid, in this case, oil. The pressure difference between the two arms of the manometer is determined by the height difference of the liquid in the arms.

2. Pressure Difference in the Manometer:
The pressure difference between the two arms of the manometer is given by the formula:

ΔP = ρgh

Where:
- ΔP is the pressure difference
- ρ is the density of the liquid (oil)
- g is the acceleration due to gravity
- h is the height difference between the liquid levels in the two arms

3. Calculating Pressure of Gas in Flask B:
In this case, the height difference between the oil levels in flask A and flask B is given as 74 cm. Using the formula for pressure difference, we can calculate the pressure of gas in flask B.

ΔP = ρgh

Let's calculate the pressure difference:

ΔP = (0.847 g/cc) * (9.8 m/s^2) * (0.74 m)
ΔP = 6.1117 kPa

4. Pressure of Gas in Flask B:
Since the pressure in flask A is given as 97.7 kPa, we can calculate the pressure of gas in flask B by subtracting the pressure difference from the pressure in flask A.

Pressure of gas in flask B = Pressure of gas in flask A - Pressure difference
Pressure of gas in flask B = 97.7 kPa - 6.1117 kPa
Pressure of gas in flask B = 91.5883 kPa

Conclusion:
The pressure of the gas in flask B is 91.5883 kPa.

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