a chemist needs 2.00 grams of a liquid compound witha density of 0.785 g/cm^3 density. what volume of compund is required?
mass = volume x density
Substitute and solve.
To find the volume of the compound, we can use the formula:
Density = Mass / Volume
Given:
Density = 0.785 g/cm^3
Mass = 2.00 grams
Rearranging the formula, we have:
Volume = Mass / Density
Substituting the given values:
Volume = 2.00 g / 0.785 g/cm^3
Now, we need to make sure the units are consistent. We have grams on the top and grams/cm^3 on the bottom. To cancel out the grams, we divide the numerator and denominator by grams.
Volume = 2.00 g / (0.785 g/cm^3) * (1 cm^3 / 1 g)
Now, we can cancel out the grams, and the resulting unit will be in cm^3:
Volume = 2.00 g / 0.785 cm^3/g
Evaluating the expression:
Volume ≈ 2.55 cm^3
Therefore, the volume of the compound required is approximately 2.55 cm^3.
To find the volume of the compound required, you can use the formula:
Volume = Mass / Density
In this case, the mass of the compound is given as 2.00 grams and the density is given as 0.785 g/cm^3.
Substituting the values into the formula, we get:
Volume = 2.00 g / 0.785 g/cm^3
To simplify the units, we can convert 2.00 grams to centigrams (cgs) since the density is given in g/cm^3.
1 gram = 100 centigrams
So, 2.00 grams = 2.00 * 100 = 200 centigrams
Now, we substitute the values into the formula again:
Volume = 200 cg / 0.785 g/cm^3
To cancel out the grams in the numerator and the denominator, we divide the numerator and the denominator by grams:
Volume = 200 cg / (0.785 g/cm^3 * 1 g/1 cm^3)
Now, we can see that the grams cancel out, which leaves us with:
Volume = 200 cg / 0.785 cm^3
Evaluating this expression, we get:
Volume = 254.777 cm^3
Therefore, the chemist will require approximately 254.777 cm^3 of the liquid compound.