Question

The density of ether is 0.714 g/mL. what is the mass of 1.45 L of ether?

Answer 1

`"1040 g"`

Explanation:

Let's first convert the volume into mL:

`"1.45 L" * ("1000 mL")/("1 L") = "1450 mL"`

`"density"` `= ("mass")/("volume")`

So

`"mass" = "density" \ *\ "volume"`

`= "0.714 g/mL" * "1450 mL" = "1035.3 g"`

Final answer: the mass of ether is `"1040 g"` (`3` significant figures)

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Answer 2

`"1040 g"`.

Explanation:

The density being `"0.714 g/mL"` means that these ratios are all correct for ether:

`"0.714 g"/"1 mL" = "714 g"/"1000 mL" = "714 g"/"1 L"`

So, using these proportions, we can figure out the mass of a sample of ether, given that its volume is `"1.45 L"`:

`"714 g"/"1 L" = ("714 g" xx 1.45)/("1.45 L") = "1035.3 g"/"1.45 L"`

We'll need `3` significant figures in our answer, because that's the least number of significant figures given in the question—so, our answer would be rounded to `"1040 g"`.

Answer 3

1.0353 kg.

Explanation:

The simplest way to handle it is like this:

Density = Mass / Volume, therefore Mass = Volume x Density.

Volume = 1.45 litres, and Density is 0.714 g/ml. Density in kg/litre is numerically identical.

So Mass = 1.45 x 0.714 = 1.0353 kg,