psi to atm Converter - Pounds per Square Inch to Standard Atmosphere

Conversion derivation

Express both psi and atm in the same base unit Pa (pascal), then cancel the shared base unit.

1. 1

   Rewrite psi in the base unit

   $$1\mathrm{psi}=6,894.76\mathrm{Pa}$$
2. 2

   Rewrite atm in the base unit

   $$1\mathrm{atm}=101,325\mathrm{Pa}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{psi}& =\frac{6,894.76\cancel{\mathrm{Pa}}}{101,325\cancel{\mathrm{Pa}}}\times 1\mathrm{atm}\\ & =\frac{6,894.76}{101,325}\mathrm{atm}\\ & =0.068045990624\mathrm{atm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{atm}& =\frac{101,325\cancel{\mathrm{Pa}}}{6,894.76\cancel{\mathrm{Pa}}}\times 1\mathrm{psi}\\ & =\frac{101,325}{6,894.76}\mathrm{psi}\\ & =14.695943006\mathrm{psi}\end{array}$$