1.50 g of a metal on being heated in oxygen gives 2.15 g of its oxide. Calculate the equivalent mass of the metal.

Answer

To find the equivalent mass of the metal, we can follow these steps:

### Step 1: Identify the given data
- Mass of the metal (M) = 1.50 g
- Mass of the metal oxide (MO) = 2.15 g

### Step 2: Calculate the mass of oxygen (O) that combined with the metal
To find the mass of oxygen that reacted with the metal, we subtract the mass of the metal from the mass of the metal oxide:

\[ \text{Mass of oxygen} = \text{Mass of metal oxide} - \text{Mass of metal} \]
\[ \text{Mass of oxygen} = 2.15 \, \text{g} - 1.50 \, \text{g} = 0.65 \, \text{g} \]

### Step 3: Determine the ratio of the mass of oxygen to the mass of metal
We know that 0.65 g of oxygen combines with 1.50 g of metal. We can find out how much metal would combine with 8 g of oxygen:

\[ \text{Mass of metal with 8 g of oxygen} = \frac{1.50 \, \text{g}}{0.65 \, \text{g}} \times 8 \, \text{g} \]

Calculating this gives:

\[ \text{Mass of metal with 8 g of oxygen} = \frac{1.50}{0.65} \times 8 \approx 18.46 \, \text{g} \]

### Step 4: Calculate the equivalent mass of the metal
The equivalent mass of the metal is the mass of the metal that combines with 8 g of oxygen. From our calculation in Step 3, we found that this mass is approximately 18.46 g.

Thus, the equivalent mass of the metal is:

\[ \text{Equivalent mass of metal} \approx 18.46 \, \text{g} \]

### Final Answer
The equivalent mass of the metal is approximately **18.46 g**.

---