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Pascal or kilopascal is a derived unit of pressure. In physics units and conversion of units is an important part of the learning. Kilopascals are shortened or abbreviated to kPa with a lower case k, an uppercase P and a lowercase a. Kilo means one thousand hence there are one thousand Pascals in a kilopascal. The pascal (a symbol used is Pa) is the SI derived unit of pressure or stress (also for modulus of elasticity like Young's modulus and tensile strength).Â

The unit of the pressure of the pascal is equivalent to one newton per square metre (N/m^{2}). In our day to day life, the pascal is most frequently used in the form of kilopascal (1 kPa = 1000 Pa). One kilopascal corresponds to about 1% of atmospheric pressure with reference to the sea level.

The conversion of units is an important concept in physics. We know that a pascal is a derived unit of pressure. Pressure is defined as the normal force exerted by a fluid per unit area. The concept of pressure is used mainly while discussing liquids and gases. The counterpart of the pressure in solids is normal stress. Now lets us have a look at how a pascal is derived.

According to the definition of the pressure we have,

â‡’ Pressure = \[\frac{Force}{Area}\] = \[\frac{N}{m^{2}}\]Â Â â€¦â€¦â€¦..(1)

Force is expressed in Newtonâ€™s and the area on which the force F exerted is expressed in m^{2}.Therefore pressure is expressed in terms of N/m2known as the Pascal in general.

Therefore We Write,

1 Pascal = Newton meter^{-2} =1 Nm^{-2}â€¦â€¦.(2)

The unit of pressure pascal is too small for most of the pressures encountered in our everyday lives. Therefore we use multiples of pascals such as kilopascal, megapascal etcâ€¦.

In kilopascal, we will be having one thousand Pascals. We know, a kilo is an abbreviated form of 1000. Similarly in megapascal, we will be having 106pascals. Mathematically we write,

â‡’1 k Pa=103 Nm^{-2}= 1000 Nm^{-2}

And,

â‡’1 M Pa = 106 Nm^{-2}

The pressure can also be measured in terms of Psi, bar. Therefore we can have unit conversions such as the conversion of Kilopascal to Psi, pascal to Psi, Psi to the bar, Psi to kPa, etc. Let us have a look at the conversion of kilopascal to Psi (pound squared inch). In the English system, the pressure is measured in terms of the Pound force per square inch which is abbreviated as Psi in general. One atmospheric pressure is equal to 14.696 Psi.Â

Now, the relation between kilopascal and Psi is given by the formula:

â‡’k Pa= 0.145 Psi and 101.325 kPa=14.7 Psi

Similarly, we can write,

â‡’1Psi = 6.89 kPa

This is the required formula for converting kilopascal to Psi. These conversion techniques can be mastered after having thorough practice and solving numerical. Let us have a look at a few numerical problems for better understanding.

1. Convert 130 Kilopascal to Psi.

Sol: Given, we have a pressure exerted by some fluid or gas is 130 kPa. We are asked to determine 130 kPa in terms of the Psi.

We know that,

â‡’1 k Pa= 0.145 Psi

Therefore, we write:

â‡’130 k Pa=130x0.145 Psi=18.85 Psi

Thus, 130 kilopascal is equal to 18.85 Psi.

2. Convert 50 Psi to Kilopascal.

Sol: Given, we have a pressure exerted by some fluid or gas is 50 Psi. We are asked to determine 50 Psi in terms of the kPa.

We know that,

â‡’1Psi = 6.89 kPa

Therefore, we write:

â‡’1Psi = 6.89 kPa

â‡’50 Psi = 50Â x 6.89 kPa=344.5 kPa

Thus, 50 Psi is equal to 344.5 kPa.

3. Convert 122 Kilopascal to Psi.

Sol: Given, we have a pressure exerted by some fluid or gas is 122 kPa. We are asked to determine 130 kPa in terms of the Psi.

We know that,

â‡’1 k Pa= 0.145 Psi

Therefore, we write:

â‡’122 k Pa=122 x 0.145 Psi=17.69 Psi

Thus, 122 kilopascal is equal to 17.69 Psi.

4. Convert 35 Psi to Kilopascal.

Sol: Given, we have a pressure exerted by some fluid or gas is 35 Psi. We are asked to determine 35 Psi in terms of the kPa.

We know that,

â‡’1Psi = 6.89 kPa

Therefore, we write:

â‡’1Psi = 6.89 kPa

â‡’35 Psi = 35 x 6.89 kPa=241.15 kPa

Thus, 35 Psi is equal to the 241.15 kPa.

FAQ (Frequently Asked Questions)

1. Is kPa is Equal to k N m^{-2}?

Ans: Yes both are the same. We know that both pascal and the newton per meter squared are the same quantities. Therefore kilopascal which is abbreviated as the kPa is the same as the kilo Newton per meter squared.

2. What is the Value of kPa in terms of Newtons?

Ans: The value of kPa in terms of newtons is equal to the 1000 newton per meter squared.