Convert torr to pound / square inch
Learn how to convert
1
torr to
pound / square inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(torr\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{square \text{ } inch}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal\right)\)
\(\text{Left side: 1.0 } \left(torr\right) = {\color{rgb(89,182,91)} \dfrac{101325.0}{760.0}\left(pascal\right)} = {\color{rgb(89,182,91)} \dfrac{101325.0}{760.0}\left(Pa\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{pound}{square \text{ } inch}\right) = {\color{rgb(125,164,120)} \dfrac{4.4482216152605}{6.4516 \times 10^{-4}}\left(pascal\right)} = {\color{rgb(125,164,120)} \dfrac{4.4482216152605}{6.4516 \times 10^{-4}}\left(Pa\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(torr\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{square \text{ } inch}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{101325.0}{760.0}} \times {\color{rgb(89,182,91)} \left(pascal\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{4.4482216152605}{6.4516 \times 10^{-4}}}} \times {\color{rgb(125,164,120)} \left(pascal\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{101325.0}{760.0}} \cdot {\color{rgb(89,182,91)} \left(Pa\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{4.4482216152605}{6.4516 \times 10^{-4}}} \cdot {\color{rgb(125,164,120)} \left(Pa\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{101325.0}{760.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{4.4482216152605}{6.4516 \times 10^{-4}}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{101325.0}{760.0} = {\color{rgb(20,165,174)} x} \times \dfrac{4.4482216152605}{6.4516 \times 10^{-4}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{4.4482216152605}{6.4516 \times 10^{-4}} = \dfrac{101325.0}{760.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{6.4516 \times 10^{-4}}{4.4482216152605}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{4.4482216152605}{6.4516 \times 10^{-4}} \times \dfrac{6.4516 \times 10^{-4}}{4.4482216152605} = \dfrac{101325.0}{760.0} \times \dfrac{6.4516 \times 10^{-4}}{4.4482216152605}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{4.4482216152605}} \times {\color{rgb(99,194,222)} \cancel{6.4516}} \times {\color{rgb(166,218,227)} \cancel{10^{-4}}}}{{\color{rgb(99,194,222)} \cancel{6.4516}} \times {\color{rgb(166,218,227)} \cancel{10^{-4}}} \times {\color{rgb(255,204,153)} \cancel{4.4482216152605}}} = \dfrac{101325.0 \times 6.4516 \times 10^{-4}}{760.0 \times 4.4482216152605}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{101325.0 \times 6.4516 \times 10^{-4}}{760.0 \times 4.4482216152605}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0193367747\approx1.9337 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(torr\right)\approx{\color{rgb(20,165,174)} 1.9337 \times 10^{-2}}\left(\dfrac{pound}{square \text{ } inch}\right)\)
