atm to kPa Converter - Standard Atmosphere to Kilopascal

Conversion derivation

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

1. 1

   Rewrite atm in the base unit

   $$1\mathrm{atm}=101,325\mathrm{Pa}$$
2. 2

   Rewrite kPa in the base unit

   $$1\mathrm{kPa}=1,000\mathrm{Pa}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{atm}& =\frac{101,325\cancel{\mathrm{Pa}}}{1,000\cancel{\mathrm{Pa}}}\times 1\mathrm{kPa}\\ & =\frac{101,325}{1,000}\mathrm{kPa}\\ & =101.325\mathrm{kPa}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kPa}& =\frac{1,000\cancel{\mathrm{Pa}}}{101,325\cancel{\mathrm{Pa}}}\times 1\mathrm{atm}\\ & =\frac{1,000}{101,325}\mathrm{atm}\\ & =0.009869232667\mathrm{atm}\end{array}$$