Answered

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The formula for density is given by [tex]$p = \frac{M}{V}$[/tex], where [tex]$p$[/tex] is density, [tex][tex]$M$[/tex][/tex] is mass, and [tex]$V$[/tex] is volume. If a substance has a mass of 27.82 grams and a volume of [tex]$3.6 \, \text{ml}$[/tex], what is the most accurate density of the substance in [tex][tex]$\text{g/ml}$[/tex][/tex]?

A. 7.7
B. 7.7278
C. 7.73
D. 0.1

Sagot :

GinnyAnswer
To find the density of the substance using the formula [tex]\( p = \frac{M}{V} \)[/tex], where [tex]\( p \)[/tex] is the density, [tex]\( M \)[/tex] is the mass, and [tex]\( V \)[/tex] is the volume, follow these steps:

1. Identify the given values:
- Mass ([tex]\( M \)[/tex]) = 27.82 grams
- Volume ([tex]\( V \)[/tex]) = 3.6 ml

2. Substitute the given values into the density formula:
[tex]\[ p = \frac{M}{V} = \frac{27.82 \text{ grams}}{3.6 \text{ ml}} \][/tex]

3. Perform the division to calculate the density:
[tex]\[ p = 7.727777777777778 \text{ g/ml} \][/tex]

4. Choose the most accurate option from the provided choices:
- 7.7
- 7.7278
- 7.73
- 0.1

The most accurate density of the substance is:

[tex]\[ 7.727777777777778 \approx 7.7278 \text{ g/ml} \][/tex]

Therefore, the most accurate density is 7.7278 g/ml.
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