# 0.796 gm of metal oxide when heated with current of dry H2 , 0.18 gm of H2O was found.he equivalent mass of metal?

Jun 4, 2018

The equivalent mass of the metal is 32 g.

#### Explanation:

Step 1. Calculate the mass of $\text{O}$ in the water

$\text{Mass of O" = 0.18 color(red)(cancel(color(black)("g H"_2"O"))) × ("16.00 g O")/(18.02 color(red)(cancel(color(black)("g H"_2"O")))) = "0.160 g O}$

Step 2. Calculate the mass of metal in the oxide

$\text{Mass of M = (0.796 - 0.160) g = 0.636 g}$

Step 3. Calculate the equivalent mass of the metal

The equivalent mass of a substance is the mass that will react with 8 g of oxygen.

$\text{Equivalent mass" = 8.00 color(red)(cancel(color(black)("g O"))) × ("0.636 g M")/(0.160 color(red)(cancel(color(black)("g O")))) = "32 g M}$