Answer:
The volume is 3.96 dL
Explanation:
<u>Step 1: Convert ml to dl</u>
1Liter = 1000ml = 10³ ml
1Liter = 10 dl
⇒ 1 Liter has 1000ml or 10 dl
⇒ The ratio can be written as : 10dl/ 1000ml = 1 dl / 100ml
<u>Step 2: Convert cm³ </u>=
⇒ 1cm³ is equal to 1 ml.
<u>Step 3: Calculate volume</u>
⇒ We use the formule of density here, which is : Density (p) = mass (g) / volume( cm³)
⇒ 7.86 g/ cm³ = 3110 grams / Volume ( cm³)
⇒Volume = 3110 grams / 7.86g/cm³ = 395.67 cm³
395.67 cm³ = 395.67 ml = 0.39567 L = 3.96 dL
3.96 dL is reported to three significant digits due to the precision reported for the density.
Answer:
The approximate age of the igneous rock is
years.
Explanation:
Chemically speaking, the Uranium-235 decays to form Lead-207 throughout time. All isotopes decay exponentially by means of the following model:
(1)
In addition, we can determine the time constant of the former isotope in terms of its half life, that is:
(2)
Where:
- Initial mass of Uranium-235, in atoms.
- Current mass of Uranium-235, in atoms.
- TIme constant, in years.
- Half-life of Uranium-235, in years.
Please remind that a 1 : 1 ratio of Uranium-235 to Lead-207 atoms means that current mass of Uranium-235 is a half of its initial mass. If we know that
and
, then the approximate age of the igneous rock is:





The approximate age of the igneous rock is
years.
Recall that density is Mass/Volume. We are given the mL of liquid which is volume so all we need is mass now. We are given the mass of the granulated cylinder both with and without the liquid, so if we subtract them, we can get the mass of the liquid by itself. So, 136.08-105.56= 30.52g. This is the mass of the liquid. We now have all we need to find the density. So, let’s plug these into the density formula. 30.52g/45.4mL= 0.672 g/mL. This is our final answer since the problem requests the answer in g/mL, but be careful, because some problems in the future may ask for g/L requiring unit conversions. Also note that 30.52 was 4 sigfigs and 45.4 was 3 sigfigs, and so dividing them required an answer that was 3 sigfigs as well, hence why the answer is in the thousandths place