QUESTION IMAGE
Question
fill in the missing parts for this table.
| mass | volume | density (include units) |
|---|---|---|
| 950 g | 50 ml | b)____ |
| 2000 g | 125 cm³ | e)____ |
| f)____ | 900 cm³ | 0.3 g/cm³ |
| 1250 g | 25 ml | g)____ |
| 750 g | h)____ | 12 g/cm³ |
| 200 g | 1000 cm³ | i)____ |
| 1250 g | 80 ml | j)____ |
| 700 g | k)____ | 2.5 g/cm³ |
Step1: Recall density formula
The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. Also, $1\ mL = 1\ cm^{3}$.
Step2: Calculate a)
Given $m = 250\ g$ and $V=80\ cm^{3}$, then $
ho=\frac{250\ g}{80\ cm^{3}}=3.125\ g/cm^{3}$.
Step3: Calculate b)
Given $m = 950\ g$ and $V = 50\ mL=50\ cm^{3}$, then $
ho=\frac{950\ g}{50\ cm^{3}} = 19\ g/cm^{3}$.
Step4: Calculate e)
Given $m = 2000\ g$ and $V=125\ cm^{3}$, then $
ho=\frac{2000\ g}{125\ cm^{3}}=16\ g/cm^{3}$.
Step5: Calculate f)
Given $
ho = 0.3\ g/cm^{3}$ and $V = 900\ cm^{3}$, using $m=
ho V$, we have $m=0.3\ g/cm^{3}\times900\ cm^{3}=270\ g$.
Step6: Calculate g)
Given $m = 1250\ g$ and $V = 25\ mL = 25\ cm^{3}$, then $
ho=\frac{1250\ g}{25\ cm^{3}}=50\ g/cm^{3}$.
Step7: Calculate h)
Given $m = 750\ g$ and $
ho=12\ g/cm^{3}$, using $V=\frac{m}{
ho}$, we get $V=\frac{750\ g}{12\ g/cm^{3}} = 62.5\ cm^{3}=62.5\ mL$.
Step8: Calculate i)
Given $m = 200\ g$ and $V = 1000\ cm^{3}$, then $
ho=\frac{200\ g}{1000\ cm^{3}}=0.2\ g/cm^{3}$.
Step9: Calculate j)
Given $m = 1250\ g$ and $V = 80\ mL=80\ cm^{3}$, then $
ho=\frac{1250\ g}{80\ cm^{3}}=15.625\ g/cm^{3}$.
Step10: Calculate k)
Given $m = 700\ g$ and $
ho=2.5\ g/cm^{3}$, using $V=\frac{m}{
ho}$, we have $V=\frac{700\ g}{2.5\ g/cm^{3}}=280\ cm^{3}=280\ mL$.
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a) $3.125\ g/cm^{3}$
b) $19\ g/cm^{3}$
e) $16\ g/cm^{3}$
f) $270\ g$
g) $50\ g/cm^{3}$
h) $62.5\ mL$
i) $0.2\ g/cm^{3}$
j) $15.625\ g/cm^{3}$
k) $280\ mL$