A piece of alloy of gold and silver weighs 2 kg in air and 1.86 kg in water. What is the mass of silver? Density of gold is `19.3 xx 10^(3) kgm^(-3) ` . Density of silver is `10.5 xx 10^(3) kg m^(-3)`

Explanation

To solve the problem, we need to find the mass of silver in an alloy of gold and silver, given the weights of the alloy in air and water, as well as the densities of gold and silver.

### Step-by-Step Solution:

1. **Identify Given Data:**
- Weight of the alloy in air, \( W_a = 2 \, \text{kg} \)
- Weight of the alloy in water, \( W_w = 1.86 \, \text{kg} \)
- Density of gold, \( \rho_g = 19.3 \times 10^3 \, \text{kg/m}^3 \)
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