Question

Aman ate 0.717 pound of cheese (an energy intake of 4550 kJ). Suppose that none of the energy was stored in his body. What mass (in grams) of water would he need to perspire in order to maintain his original temperature? (It takes 44.0 kJ to vaporize 1 mole of water.) Enter your answer in scientific notation.

Answer 1

1.86x10³ g

Step-by-step explanation:

To maintain his original temperature, all the energy intake must be used to vaporize water.

1 mol of water ----------- 44.0 kJ

x ----------- 4550 kJ

By a simple direct three rule:

44x = 4550

x = 103.41 moles of water

The molar mass of water (H₂O) is:

2*1 g/mol of H + 16 g/mol of O = 18 g/mol

The mass is the molar mass multiplied by the number of moles:

m = 18*103.41

m = 1.86x10³ g