Question

Chromium (III) oxide may be reduced by mixing with hydrogen gas. The products formed are solid chromium and water. What mass of solid chromium in pounds can be prepared from one ton of chromium (III) oxide?

Answer 1

Chemical reaction involved in reduction of Cr(III) oxide with hydrogen gas is:

Cr2O3 + 3H2(g) 2Cr(s) + 3H2O

molar mass of Cr2O3 = 152 g/mol

molar mass of Cr = 52 g/mol

from the above balance reaction 1 mol of chromium (III) oxide gives 2 mol of solid chromium

therefore 152 g of chromium (III) oxide gives 104 g of solid chromium.

1 ton of chromium (III) oxide = 2000 pound

thus 1 ton of chromium (III) oxide will give = (104/152) *1 ton = 0.68 ton of solid chromium

using 1 ton = 2000 pound

we get solid chromiun in pounds = 0.68 * 2000 = 1368.42 pounds

The mass of solid chromium in pounds that can be prepared from one ton of chromium (III) oxide is 1368.42 pounds