kPa to psi Converter - Kilopascal to Pounds per Square Inch

Conversion derivation

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

1. 1

   Rewrite kPa in the base unit

   $$1\mathrm{kPa}=1,000\mathrm{Pa}$$
2. 2

   Rewrite psi in the base unit

   $$1\mathrm{psi}=6,894.76\mathrm{Pa}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kPa}& =\frac{1,000\cancel{\mathrm{Pa}}}{6,894.76\cancel{\mathrm{Pa}}}\times 1\mathrm{psi}\\ & =\frac{1,000}{6,894.76}\mathrm{psi}\\ & =0.145037680789\mathrm{psi}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{psi}& =\frac{6,894.76\cancel{\mathrm{Pa}}}{1,000\cancel{\mathrm{Pa}}}\times 1\mathrm{kPa}\\ & =\frac{6,894.76}{1,000}\mathrm{kPa}\\ & =6.89476\mathrm{kPa}\end{array}$$