Running at a rate of 6 mi/h uses 704 Calories in an hour. Convert this value to (a) calories; (b) kilocalories; (c) joules; (d) kilojoules.
6 mi/hr x ?hr = 704 calories. Solve for ?hr.
There are 1000 cal in a kcal.
There are 4.184 J in a cal
There are 1000 J in a kJ.
4224 calories
To convert the value of 704 Calories to different units of energy, follow these steps:
(a) Convert to calories:
1 calorie = 1 Calorie (capital C)
So, 704 Calories is equal to 704 calories.
(b) Convert to kilocalories:
1 kilocalorie = 1000 calories
To convert from calories to kilocalories, divide the value by 1000.
704 calories ÷ 1000 = 0.704 kilocalories
(c) Convert to joules:
1 calorie = 4.184 joules
To convert from calories to joules, multiply the value by 4.184.
704 calories × 4.184 = 2945.056 joules
(d) Convert to kilojoules:
1 kilojoule = 1000 joules
To convert from joules to kilojoules, divide the value by 1000.
2945.056 joules ÷ 1000 = 2.945056 kilojoules
Therefore,
(a) 704 Calories = 704 calories
(b) 704 Calories = 0.704 kilocalories
(c) 704 Calories = 2945.056 joules
(d) 704 Calories = 2.945056 kilojoules
To convert the value of 704 Calories to different units, we can use the conversion factors:
(a) Calories to calories: There are 1,000 calories in 1 Calorie. So, to convert from Calories to calories, we multiply by the conversion factor:
704 Calories * 1,000 calories/Calorie = 704,000 calories
(b) Calories to kilocalories: There are 1 kilocalorie in 1 Calorie. So, to convert from Calories to kilocalories, we multiply by the conversion factor:
704 Calories * 1 kilocalorie/Calorie = 704 kilocalories
(c) Calories to joules: There are 4.184 joules in 1 calorie. So, to convert from calories to joules, we multiply by the conversion factor:
704,000 calories * 4.184 joules/calorie = 2,943,136 joules
(d) Calories to kilojoules: To convert from joules to kilojoules, divide by 1,000:
2,943,136 joules / 1,000 = 2,943.136 kilojoules
So, the conversions are:
(a) 704 Calories = 704,000 calories
(b) 704 Calories = 704 kilocalories
(c) 704 Calories = 2,943,136 joules
(d) 704 Calories = 2,943.136 kilojoules