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6. density calculate the density of the following substances: a) a piec…

Question

  1. density

calculate the density of the following substances:
a) a piece of unknown solid weighs approximately 0.045 lbs. a
scientist places it in a graduated cylinder to measure the water
displacement as shown. what is the density of the unknown solid
ing/ml?

Explanation:

Step1: Convert mass from pounds to grams

We know that \(1\ lb = 453.592\ g\).
So, \(m=0.045\ lb\times453.592\ g/lb = 20.41164\ g\)

Step2: Calculate volume using water displacement

Volume of water initially \(V_1 = 225\ mL\) (approximate reading from first cylinder).
Volume of water with solid \(V_2= 275\ mL\) (approximate reading from second cylinder).
\(V = V_2 - V_1=275 - 225=50\ mL\)

Step3: Calculate density using formula \(

ho=\frac{m}{V}\)
\(
ho=\frac{20.41164\ g}{50\ mL}=0.4082328\ g/mL\approx0.41\ g/mL\)

Answer:

\(0.41\ g/mL\)