Question

1. calculate the density in g/l if a block of silver (ag) has a mass of 34.6 ng with a volume of 1700.0 microliters.

Explanation:

Step1: Convert mass to grams

Mass of silver is \( 34.6\space ng \). Since \( 1\space ng = 10^{-9}\space g \), so \( 34.6\space ng = 34.6\times10^{-9}\space g = 3.46\times10^{-8}\space g \).

Step2: Convert volume to liters

Volume of silver is \( 1700.0\space \mu L \). Since \( 1\space \mu L = 10^{-6}\space L \), so \( 1700.0\space \mu L = 1700.0\times10^{-6}\space L = 1.7\times10^{-3}\space L \).

Step3: Calculate density

Density formula is \(
ho=\frac{m}{V} \), where \( m \) is mass and \( V \) is volume.
Substitute \( m = 3.46\times10^{-8}\space g \) and \( V = 1.7\times10^{-3}\space L \) into the formula:
\(
ho=\frac{3.46\times10^{-8}\space g}{1.7\times10^{-3}\space L}\approx2.035\times10^{-5}\space g/L \)

Answer:

\( \approx2.04\times10^{-5}\space g/L \) (rounded to three significant figures)