Question

Perform the following unit conversions:

Answer 1

Answer :

(a) The 60 feet of water is equal to 179344.2 Pa.

(b) The 220 psi is equal to $31680lbf/ft^2$

(c) The 120 torr is equal to 15998.6 Pa.

(d) The 1.0 atm to inches of glycerin  is equal to 323.07 inches.

(e) The 1050 mm Hg is equal to $376.95lbf/ft^2$

Explanation :

(a) The conversion used from feet to pascal is:

$1\text{ feet}=2989.07Pa$

As we are given that 60 feet of water. Now we have to convert into Pa.

As, $1\text{ feet}=2989.07Pa$

So, $60\text{ feet}=\frac{60\text{ feet}}{1\text{ feet}}\times 2989.07Pa=179344.2Pa$

The 60 feet of water is equal to 179344.2 Pa.

(b) The conversion used from $psi$ to $lbf/ft^2$ is:

$1\text{ psi}=144lbf/ft^2$

As we are given that 220 psi. Now we have to convert into $lbf/ft^2$.

As, $1\text{ psi}=144lbf/ft^2$

So, $220\text{ psi}=\frac{220\text{ psi}}{1\text{ psi}}\times 144lbf/ft^2=31680lbf/ft^2$

The 220 psi is equal to $31680lbf/ft^2$

(c) The conversion used from torr to pascal is:

$1\text{ torr}=133.322Pa$

As we are given that 120 torr. Now we have to convert into Pa.

As, $1\text{ torr}=133.322Pa$

So, $120\text{ torr}=\frac{120\text{ torr}}{1\text{ torr}}\times 133.322Pa=15998.6Pa$

The 120 torr is equal to 15998.6 Pa.

(d) 1.0 atm to inches of glycerin

Formula used : $P=\rho gh$

where,

P = pressure of glycerin = 1.0 atm = 101325 Pa

g = acceleration due to gravity = $9.8m/s^2$

$\rho$ = density of glycerin = $1260kg/m^3$

Now put all the given values in above formula, we get:

$101325Pa=(1260kg/m^3)\times (9.8m/s^2)\times h$

$h=8.206\frac{Pa.m^2s^2}{kg}=8.206m=323.07\text{ inches}$

Conversion used :

$1Pa=\frac{kg}{ms^2}\\\\1m=39.37inches$

The 1.0 atm to inches of glycerin  is equal to 323.07 inches.

(e) The conversion used from $psi$ to $lbf/ft^2$ is:

$1\text{ mmHg}=0.359lbf/ft^2$

As we are given that 1050 mmHg. Now we have to convert into $lbf/ft^2$.

As, $1\text{ mmHg}=0.359lbf/ft^2$

So, $1050\text{ mmHg}=\frac{1050\text{ mmHg}}{1\text{ mmHg}}\times 0.359lbf/ft^2=376.95lbf/ft^2$

The 1050 mm Hg is equal to $376.95lbf/ft^2$