Question

1.2 the metric system
name:
directions: answer the following.
convert the following.

1. 250 ml = l
2. 375 mg = g
3. 25,600 j = kj
4. 1.38 kj = j
5. 0.005 g = mg
6. 0.500 l = ml
7. 1.2 l = ml
8. 125 cm³ = l

assign one of the following terms to each measurement:
distance mass energy volume amount of substance

1. 250. grams
2. 34,000 kilojoules
3. 48.0 ml
4. 15.8 j
5. 4.1 mol
6. 23.7 mm
7. 97.4 l
8. 134.9 g
9. 0.005 mg
10. 5.81 moles
11. 37.5 cm³
12. 45. mmol

Explanation:

Convert the following:

1) Convert 250 mL to L

• Step1: Recall the conversion factor

Since \(1\space L = 1000\space mL\), to convert from mL to L, we divide by 1000.

$$250\space mL=\frac{250}{1000}\space L = 0.25\space L$$

2) Convert 25600 J to kJ

• Step1: Recall the conversion factor

Since \(1\space kJ= 1000\space J\), to convert from J to kJ, we divide by 1000.

$$25600\space J=\frac{25600}{1000}\space kJ = 25.6\space kJ$$

3) Convert 0.005 g to mg

• Step1: Recall the conversion factor

Since \(1\space g = 1000\space mg\), to convert from g to mg, we multiply by 1000.

$$0.005\space g=0.005\times1000\space mg = 5\space mg$$

4) Convert 1.2 L to mL

• Step1: Recall the conversion factor

Since \(1\space L = 1000\space mL\), to convert from L to mL, we multiply by 1000.

$$1.2\space L=1.2\times1000\space mL = 1200\space mL$$

5) Convert 375 mg to g

• Step1: Recall the conversion factor

Since \(1\space g = 1000\space mg\), to convert from mg to g, we divide by 1000.

$$375\space mg=\frac{375}{1000}\space g = 0.375\space g$$

6) Convert 1.38 kJ to J

• Step1: Recall the conversion factor

Since \(1\space kJ = 1000\space J\), to convert from kJ to J, we multiply by 1000.

$$1.38\space kJ=1.38\times1000\space J = 1380\space J$$

7) Convert 0.500 L to mL

• Step1: Recall the conversion factor

Since \(1\space L = 1000\space mL\), to convert from L to mL, we multiply by 1000.

$$0.500\space L=0.500\times1000\space mL = 500\space mL$$

8) Convert \(125\space cm^{3}\) to L

• Step1: Recall the conversion factor

Since \(1\space L = 1000\space cm^{3}\), to convert from \(cm^{3}\) to L, we divide by 1000.

$$125\space cm^{3}=\frac{125}{1000}\space L = 0.125\space L$$

Assign the terms:

1) 250 grams

• Explanation

Grams (\(g\)) is a unit of mass.

2) 34000 kilojoules

• Explanation

Kilojoules (\(kJ\)) is a unit of energy.

3) 48.0 mL

• Explanation

Milliliters (\(mL\)) is a unit of volume.

4) 15.8 J

• Explanation

Joules (\(J\)) is a unit of energy.

5) 4.1 mol

• Explanation

Moles (\(mol\)) is a unit of amount of substance.

6) 23.7 mm

• Explanation

Millimeters (\(mm\)) is a unit of distance.

7) 97.4 L

• Explanation

Liters (\(L\)) is a unit of volume.

8) 134.9 g

• Explanation

Grams (\(g\)) is a unit of mass.

9) 0.005 mg

• Explanation

Milligrams (\(mg\)) is a unit of mass.

10) 5.81 moles

• Explanation

Moles (\(mol\)) is a unit of amount of substance.

11) \(37.5\space cm^{3}\)

• Explanation

Cubic centimeters (\(cm^{3}\)) is a unit of volume (since \(1\space cm^{3}=1\space mL\)).

12) 45. mmol

• Explanation

Millimoles (\(mmol\)) is a unit of amount of substance (since \(1\space mol = 1000\space mmol\)).

Answer:

Convert the following:

1. \(0.25\space L\)
2. \(25.6\space kJ\)
3. \(5\space mg\)
4. \(1200\space mL\)
5. \(0.375\space g\)
6. \(1380\space J\)
7. \(500\space mL\)
8. \(0.125\space L\)

Assign the terms:

1. Mass
2. Energy
3. Volume
4. Energy
5. Amount of Substance
6. Distance
7. Volume
8. Mass
9. Mass
10. Amount of Substance
11. Volume
12. Amount of Substance