Convert gram / (meter • hour) to pascal • second
Learn how to convert
1
gram / (meter • hour) to
pascal • second
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{gram}{meter \times hour}\right)={\color{rgb(20,165,174)} x}\left(pascal \times second\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal \times second\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{gram}{meter \times hour}\right) = {\color{rgb(89,182,91)} \dfrac{2.5 \times 10^{-6}}{9.0}\left(pascal \times second\right)} = {\color{rgb(89,182,91)} \dfrac{2.5 \times 10^{-6}}{9.0}\left(Pa \cdot s\right)}\)
\(\text{Right side: 1.0 } \left(pascal \times second\right) = {\color{rgb(125,164,120)} 1.0\left(pascal \times second\right)} = {\color{rgb(125,164,120)} 1.0\left(Pa \cdot s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{gram}{meter \times hour}\right)={\color{rgb(20,165,174)} x}\left(pascal \times second\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.5 \times 10^{-6}}{9.0}} \times {\color{rgb(89,182,91)} \left(pascal \times second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(pascal \times second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2.5 \times 10^{-6}}{9.0}} \cdot {\color{rgb(89,182,91)} \left(Pa \cdot s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(Pa \cdot s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.5 \times 10^{-6}}{9.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa \cdot s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(Pa \cdot s\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{2.5 \times 10^{-6}}{9.0} = {\color{rgb(20,165,174)} x} \times 1.0\)
\(\text{Simplify}\)
\(\dfrac{2.5 \times 10^{-6}}{9.0} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = \dfrac{2.5 \times 10^{-6}}{9.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000002778\approx2.7778 \times 10^{-7}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{gram}{meter \times hour}\right)\approx{\color{rgb(20,165,174)} 2.7778 \times 10^{-7}}\left(pascal \times second\right)\)
