Question

1. fill in the correct information for the problem shown below. round your answer to the correct number of significant figures. how many gallons is 15 liters? (1 gal = 3.79 l)
2. which phase(s) of matter has variable volume? liquid gas solid
3. how do you convert 100 cg to g? move the decimal 3 places to the left. move the decimal 2 places to the left. move the decimal 3 places to the right. move the decimal 2 places to the right.

Explanation:

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Step1: Set up conversion formula

We know that 1 gal = 3.79 L. Let \(x\) be the number of gallons in 15 L. Then the proportion is \(\frac{1}{3.79}=\frac{x}{15}\).

Step2: Solve for \(x\)

Cross - multiply: \(x=\frac{15}{3.79}\).
Calculate \(x=\frac{15}{3.79}\approx3.96\). Rounding to two significant figures (since 15 has two significant figures), \(x = 4.0\) gal.

Liquids have a fixed volume but take the shape of their container. Solids have a fixed shape and volume. Gases expand to fill their container, so they have a variable volume.

The conversion factor is \(1\ g= 100\ cg\). To convert from centigrams to grams, we divide by 100. Dividing by 100 is equivalent to moving the decimal 2 places to the left.

Answer:

4.0 gal

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