A person\'s basal metabolic rate (BMR) gives the number of kilocalories utilized

Question

A person's basal metabolic rate (BMR) gives the number of kilocalories utilized in one day to maintain weight. To lose weight, caloric intake needs to be lower or activity level can be increased. The resting BMR for women can be calculated in kilocalories by using the following formula: BMR (in kcal)=655++(4.35×weight in pounds)(4.70×height in inches)(4.70×age in years)

If a woman weighs 115 lb , is 5 ft 9 in. tall, and is 29 years old, what is her basal metabolic rate, rounded to the nearest 10 kcal?

If the molar mass of ATP is 507 g/mol, how many kilograms of ATP is used in one day?

Explanation / Answer

1 foot=12 inches,so 5 ft 9 in = 69 inches

using the formula given in question,

BMR of the woman=655+(4.35x115 lb)(4.70x69 inches)-(4.70x29 yrs)

=655+(500.25x324.3)-136.3

=162749.775kcal

Rounding off gives 162750 kcal

Under normal physiological conditions, 1 mol ATP generates approx 60 kJ energy = 14.4kcal ( 1kJ=0.24 kcal)

since the woman uses 162750 kcal energy in a day

the no. of moles of ATP used by her in a day = 162750/14.4 = 11302 moles

Molar mass of ATP = 0.507 kg

so, kg of ATP used by her in one day = 11302x0.507 = 5730.11 kg

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