Respuesta :
Given the information we have V1=20ml V2=35.25ml (V=volume)
M1=15.71g M2= second mass unknown
Set as proportion: V1 V2
----- = -----
M1 M2
20ml 35.25ml
Cross multiply --------- = ------------ THEN 20ml (M2)= (35.25ml)x (15.71g)
15.71g M2 20ml (M2)= 553.7775ml/g
Divide both sides by 20ml to solve for M2.
20ml (M2) 553.7775ml/g
--------------- = ------------------- then M2=27.688875g
20ml 20ml
Second question we need to find volume but we know Volume=Mass/density.
We need to find density first because we have mass=125.4g only given.
Since we are working with the same alcohol we can use the first V1 and M1 to find density=M/V.
Density= M1/V1 Density= 15.71g/20ml then density=0.7855 g/ml
( It would be the same density if we used V2 and M2)
Now we find the volume of 125.4g with a density of 0.7855g/ml
V= M/D V=125.4g/0.7855g/ml then V=159.64ml
Note: Do not round off until you have reached the end of problem. It will give you a better approximation. Also, round to the largest place which in this case was two decimal places. Do not forget unit of measure.
M1=15.71g M2= second mass unknown
Set as proportion: V1 V2
----- = -----
M1 M2
20ml 35.25ml
Cross multiply --------- = ------------ THEN 20ml (M2)= (35.25ml)x (15.71g)
15.71g M2 20ml (M2)= 553.7775ml/g
Divide both sides by 20ml to solve for M2.
20ml (M2) 553.7775ml/g
--------------- = ------------------- then M2=27.688875g
20ml 20ml
Second question we need to find volume but we know Volume=Mass/density.
We need to find density first because we have mass=125.4g only given.
Since we are working with the same alcohol we can use the first V1 and M1 to find density=M/V.
Density= M1/V1 Density= 15.71g/20ml then density=0.7855 g/ml
( It would be the same density if we used V2 and M2)
Now we find the volume of 125.4g with a density of 0.7855g/ml
V= M/D V=125.4g/0.7855g/ml then V=159.64ml
Note: Do not round off until you have reached the end of problem. It will give you a better approximation. Also, round to the largest place which in this case was two decimal places. Do not forget unit of measure.
Explanation:
Mass of the alcohol = 15.71 g
Volume of 17.71 g of alcohol = 20 ml
Density of alcohol = [tex]\frac{Mass}{Volume}[/tex]
[tex]Density=\frac{15.71 g}{20 mL}=0.7855 g/mL[/tex]
Density of alcohol is an intensive property.It remains constant.
Mass of 35.25 mL of the alcohol will be;
[tex]Density=\frac{Mass}{Volume}=0.7855 g/ml=\frac{mass}{35.25 ml}[/tex]
Mass of the alcohol = 27.6888 g
Volume of 125.4 g of alcohol will be;
[tex]Density=\frac{Mass}{Volume}=0.7855 g/ml=\frac{125.4 g}{Volume}[/tex]
Volume of the alcohol = 159.6435 mL
