On average, one tree absorbs 82 g of carbon dioxide per day. As a result of the photosynthesis reaction

On average, one tree absorbs 82 g of carbon dioxide per day. As a result of the photosynthesis reaction (6СО2 + 6Н2О → С6Н12О6 + 6О2 ↑), oxygen is released. Determine the mass of oxygen that one tree produces in 30 days. Write your answer in kilograms, rounded to tenths, without units. Separate the fractional part from the whole with a comma, without using a space. For example, 10.5

Photosynthesis reaction:

6 СО2 + 6 Н2О → С6Н12О6 + 6 О2

According to the equation:

6 mol of carbon dioxide enters into the reaction;
6 moles of oxygen are formed.
1. Let’s find the masses of СО2 and О2 according to the equation, using the formula:

m (CO2) = n * M = 6 mol * (12 + 16 * 2) = 6 * 44 = 264 g

m (O2) = n * M = 6 mol * (16 * 2) = 6 * 32 = 192 g

2. Let’s calculate the mass of О2, which is produced by 1 tree per day, making the proportion:

82 g CO2 – x g O2

264 g CO2 – 192 g O2

Hence, x = 82 * 192/264 = 59.6 g

3. Let’s find the mass of O2 in 30 days:

59.6 * 30 = 1788 g = 1.788 kg.