bar to atm Converter - Bar to Standard Atmosphere

Conversion derivation

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

1. 1

   Rewrite bar in the base unit

   $$1\mathrm{bar}=100,000\mathrm{Pa}$$
2. 2

   Rewrite atm in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{bar}& =\frac{100,000\cancel{\mathrm{Pa}}}{101,325\cancel{\mathrm{Pa}}}\times 1\mathrm{atm}\\ & =\frac{100,000}{101,325}\mathrm{atm}\\ & =0.986923266716\mathrm{atm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{atm}& =\frac{101,325\cancel{\mathrm{Pa}}}{100,000\cancel{\mathrm{Pa}}}\times 1\mathrm{bar}\\ & =\frac{101,325}{100,000}\mathrm{bar}\\ & =1.01325\mathrm{bar}\end{array}$$