Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5) a flask that weighs 345.8 g is filled with 225 ml of carbon tetrachl…

Question

  1. a flask that weighs 345.8 g is filled with 225 ml of carbon tetrachloride. the weight of the flask and carbon tetrachloride is found to be 703.55 g. from this information, calculate the density of carbon tetrachloride.
  2. calculate the density of sulfuric acid if 35.4 ml of the acid weighs 65.14 g.
  3. find the mass of 250.0 ml of benzene. the density of benzene is 0.8765 g/ml.
  4. a block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm. the block weighs 1587 g. from this information, calculate the density of lead.
  5. 28.5 g of iron shot is added to a graduated cylinder containing 45.50 ml of water. the water level rises to the 49.10 ml mark, from this information, calculate the density of iron.
  6. what volume of silver metal will weigh exactly 2500.0 g. the density of silver is 10.5 g/cm3.

Explanation:

Response
5)

Step1: Find mass of carbon - tetrachloride

The mass of the flask and carbon - tetrachloride is $m_{total}=703.55$ g and the mass of the flask is $m_{flask}=345.8$ g. So the mass of carbon - tetrachloride $m = m_{total}-m_{flask}$.
$m=703.55 - 345.8=357.75$ g

Step2: Calculate density

The volume of carbon - tetrachloride $V = 225$ mL. The density formula is $
ho=\frac{m}{V}$.
$
ho=\frac{357.75}{225}=1.59$ g/mL

Step1: Apply density formula

Given mass $m = 65.14$ g and volume $V=35.4$ mL. Using the density formula $
ho=\frac{m}{V}$.
$
ho=\frac{65.14}{35.4}=1.84$ g/mL

Step1: Use density - mass - volume relation

The density formula is $
ho=\frac{m}{V}$, and we want to find $m$. Rearranging gives $m=
ho V$. Given $
ho = 0.8765$ g/mL and $V = 250.0$ mL.
$m=0.8765\times250.0 = 219.125$ g

Answer:

$1.59$ g/mL

6)