if 32kj of energy results in an average weight gain of 1 g of body mass, then how much weight could a person gain after eating 1 cookie.
mass of 15.21g of a cookie.
How many kJ energy in the cookie?
does not at all say. that's all that is provided.
it just sais use dimensional analysis to solve this question.
i have a 95% average in this class so far and i am completely puzzled. this is a bonus question on a lab.
To determine how much weight a person could gain after eating one cookie, we need to calculate the amount of energy in the cookie first.
Given that 32 kJ of energy results in a weight gain of 1 g of body mass, we can set up a proportion to find out how much energy is in the cookie.
Let's define the variables:
E = Energy in the cookie (unknown)
M = Mass gained from eating the cookie (unknown)
E1 = Energy in 32 kJ
M1 = Mass gained from 1 g of body mass
Using the proportion:
E1/M1 = E/M
Given that M1 is 1 g and the cookie's mass is 15.21 g, we can rewrite the proportion as:
32 kJ/1 g = E/15.21 g
Now, we can solve for E (Energy in the cookie):
E = (32 kJ/1 g) * (15.21 g)
Calculating this, we get:
E ≈ 485.92 kJ
So, the cookie contains approximately 485.92 kJ of energy.
Now, to determine how much weight a person could gain, we divide the energy in the cookie by the energy required to gain 1 g of body mass:
Weight gained = 485.92 kJ / 32 kJ
Weight gained ≈ 15.186 g
Therefore, a person could potentially gain around 15.186 grams of body mass after eating one cookie.