# Quizbank/Under construction/Pressure and manometer

The relationship between the variables in these problems is given by this formulation:

${\displaystyle s\times 1000+1000\times 9.8\times {\frac {a}{100}}=1000\times \left(8.5\times {\frac {b}{100}}+13.6\times {\frac {c}{100}}\right)\times 9.8}$

Do not memorize this formula! Instead, learn to derive it from what you already know.

## A

1

The gauge pressure of the air in the tank shown is measured to be 78 kPa. The water and oil column heights are a = 39 cm and b = 66 cm. Determine the height of the mercury.{

 a) 2.66 x 101 cm b) 3.22 x 101 cm c) 3.9 x 101 cm d) 4.73 x 101 cm e) 5.73 x 101 cm

2

Consider the manometer and air tank shown in the figure. If the column heights of water, oil, and mercury are a=42cm, b=21cm, and c=36cm, what is air gage pressure s? (in kPa)

 a) 3.11 x 101kPA b) 3.77 x 101kPA c) 4.56 x 101kPA d) 5.53 x 101kPA e) 6.7 x 101kPA

3

The gage pressure of the air in the tank shown on the right is measured to be 39kPa. If the mercury and oil column heights are c=40 cm, and b= 86cm, what is the height of the water in column a?

 a) 1.02 x 102cm b) 1.23 x 102cm c) 1.49 x 102cm d) 1.81 x 102cm e) 2.19 x 102cm

## B

1 The gauge pressure of the air in the tank shown is measured to be 80 kPa. The water and oil column heights are a = 37 cm and b = 64 cm. Determine the height of the mercury.

 a) 4.85 x 101 cm b) 5.87 x 101 cm c) 7.12 x 101 cm d) 8.62 x 101 cm e) 1.04 x 102 cm

2 Consider the manometer and air tank shown in the figure. If the column heights of water, oil, and mercury are a=52cm, b=27cm, and c=47cm, what is air gage pressure s? (in kPa)

 a) 4.94 x 101kPA b) 5.98 x 101kPA c) 7.24 x 101kPA d) 8.78 x 101kPA e) 1.06 x 102kPA

3 The gage pressure of the air in the tank shown on the right is measured to be 38kPa. If the mercury and oil column heights are c=40 cm, and b= 58cm, what is the height of the water in column a?

 a) 2.06 x 102cm b) 2.49 x 102cm c) 3.02 x 102cm d) 3.66 x 102cm e) 4.43 x 102cm

## C

1 The gauge pressure of the air in the tank shown is measured to be 47 kPa. The water and oil column heights are a = 27 cm and b = 31 cm. Determine the height of the mercury.

 a) 2.41 x 101 cm b) 2.91 x 101 cm c) 3.53 x 101 cm d) 4.28 x 101 cm e) 5.18 x 101 cm

2 Consider the manometer and air tank shown in the figure. If the column heights of water, oil, and mercury are a=49cm, b=36cm, and c=23cm, what is air gage pressure s? (in kPa)

 a) 1.97 x 101kPA b) 2.38 x 101kPA c) 2.89 x 101kPA d) 3.5 x 101kPA e) 4.23 x 101kPA

3 The gage pressure of the air in the tank shown on the right is measured to be 38kPa. If the mercury and oil column heights are c=39 cm, and b= 63cm, what is the height of the water in column a?

 a) 1.62 x 102cm b) 1.96 x 102cm c) 2.38 x 102cm d) 2.88 x 102cm e) 3.49 x 102cm

## D

1 The gauge pressure of the air in the tank shown is measured to be 98 kPa. The water and oil column heights are a = 45 cm and b = 54 cm. Determine the height of the mercury.

 a) 6.06 x 101 cm b) 7.35 x 101 cm c) 8.9 x 101 cm d) 1.08 x 102 cm e) 1.31 x 102 cm

2 Consider the manometer and air tank shown in the figure. If the column heights of water, oil, and mercury are a=23cm, b=21cm, and c=38cm, what is air gage pressure s? (in kPa)

 a) 2.82 x 101kPA b) 3.42 x 101kPA c) 4.14 x 101kPA d) 5.01 x 101kPA e) 6.07 x 101kPA

3 The gage pressure of the air in the tank shown on the right is measured to be 31kPa. If the mercury and oil column heights are c=35 cm, and b= 63cm, what is the height of the water in column a?

 a) 1.45 x 102cm b) 1.76 x 102cm c) 2.13 x 102cm d) 2.58 x 102cm e) 3.13 x 102cm

## E

1 The gauge pressure of the air in the tank shown is measured to be 65 kPa. The water and oil column heights are a = 18 cm and b = 49 cm. Determine the height of the mercury.

 a) 2.64 x 101 cm b) 3.2 x 101 cm c) 3.88 x 101 cm d) 4.7 x 101 cm e) 5.7 x 101 cm

2 Consider the manometer and air tank shown in the figure. If the column heights of water, oil, and mercury are a=26cm, b=37cm, and c=52cm, what is air gage pressure s? (in kPa)

 a) 5.76 x 101kPA b) 6.98 x 101kPA c) 8.46 x 101kPA d) 1.03 x 102kPA e) 1.24 x 102kPA

3 The gage pressure of the air in the tank shown on the right is measured to be 34kPa. If the mercury and oil column heights are c=47 cm, and b= 67cm, what is the height of the water in column a?

 a) 2.88 x 102cm b) 3.49 x 102cm c) 4.23 x 102cm d) 5.13 x 102cm e) 6.21 x 102cm