Question

How do you convert atmospheric pressure into kilopascals?

Answer 1

Hint: Here the given question is of unit conversion, from atmospheric pressure to kilopascal, in order to solve the given question we need to do it for the unit value of atmospheric pressure into kilopascal, here we know that unit of atmospheric pressure is “atm” and kilopascal is “kpa”, now using the formulae of conversion between both we can have the required value.
Formulae Used: To convert atmospheric pressure into kilopascal we need to use:
\[\Rightarrow atm = \left( {101.325} \right)kilopascal\]

Complete step-by-step solution:
Here the given question is to know the value for conversion of atmospheric pressure into kilopascal. Here we know the standard conversion value for conversion of atmospheric pressure into Pascal which is:
\[ \Rightarrow atm = \left( {1.101325 \times {{10}^5}} \right)pascal\]
Now to find the value for the kilopascal we need to multiply and divide by thousand on the right side of the above equation, on solving we get:
\[
   \Rightarrow atm = \left( {1.101325 \times {{10}^5}} \right) \times \dfrac{{1000}}{{1000}}pascal \\
   \Rightarrow atm = \left( {1.101325 \times {{10}^{5 - 3}}} \right)kilopascal \\
   \Rightarrow atm = \left( {1.101325 \times {{10}^2}} \right)kilopascal \]
Here we get the value for the conversion of atmospheric pressure into kilopascal, above formulae can also be written as:
\[ \Rightarrow atm = \left( {101.325} \right)kilopascal\]

Note: Here for the given question we need to find the conversion value between two units that is atmospheric pressure and kilopascal, we know that here both the units are of pressure and used to measure pressure accordingly.