Question

exercises:

1. how many ounces are in 0.824 kilograms?
2. convert 925.3 ml into fl oz.
3. a football field is 100 yards in length. how many centimeters is this?
4. a chemical reaction was found to give off 2253 cal of heat energy. how many j is this if 1 cal = 4.184 j?
5. convert 2598 meters into miles.
6. how many quarts are there in a 5.00 liter container?

Explanation:

Step1: Recall conversion factor for kilograms to ounces

1 kilogram = 35.274 ounces.

Step2: Calculate ounces in 0.824 kilograms

$0.824\times35.274 = 29.065776\approx29.07$ ounces.

Step3: Recall conversion factor for mL to fl oz

1 fluid - ounce = 29.5735 mL.

Step4: Calculate fl oz in 925.3 mL

$\frac{925.3}{29.5735}\approx31.29$ fl oz.

Step5: Recall conversion factor for yards to centimeters

1 yard = 91.44 centimeters.

Step6: Calculate centimeters in 100 yards

$100\times91.44 = 9144$ centimeters.

Step7: Use given conversion factor for calories to joules

1 cal = 4.184 J.

Step8: Calculate joules in 2253 cal

$2253\times4.184=9427.552$ J.

Step9: Recall conversion factor for meters to miles

1 mile = 1609.34 meters.

Step10: Calculate miles in 2598 meters

$\frac{2598}{1609.34}\approx1.614$ miles.

Step11: Recall conversion factor for liters to quarts

1 liter = 1.05669 quarts.

Step12: Calculate quarts in 5.00 liters

$5.00\times1.05669 = 5.28345\approx5.28$ quarts.

Answer:

1. Approximately 29.07 ounces
2. Approximately 31.29 fl oz
3. 9144 centimeters
4. 9427.552 J
5. Approximately 1.614 miles
6. Approximately 5.28 quarts