Use the image to answer the question. An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. The first section is labeled carbon atoms. The remaining 4 sections are labeled hydrogen atoms. Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1:4 . A sample of methane gas contains 90 atoms. What value should be inserted into each rectangle? (1 point) The number should be inserted into each rectangle.
In order to find the value that should be inserted into each rectangle, we need to divide the total number of atoms in the sample (90) by the number of sections (5).
The first section, labeled carbon atoms, represents 1 part out of 5. Therefore, the value that should be inserted into the rectangle for carbon atoms is:
90 atoms / 5 = 18 atoms
The remaining 4 sections, labeled hydrogen atoms, represent 4 parts out of 5. Therefore, the value that should be inserted into each rectangle for hydrogen atoms is:
(90 atoms / 5) * 4 = 72 atoms
So, the value that should be inserted into each rectangle is 18 for carbon atoms and 72 for hydrogen atoms.
To find the value that should be inserted into each rectangle, we need to determine the number of carbon atoms and hydrogen atoms in the sample of methane gas.
Given that the ratio of carbon atoms to hydrogen atoms in methane gas is 1:4, we can set up the equation:
1C : 4H = 90 atoms
To find the value for each rectangle, we need to divide the total number of atoms (90) by the sum of the ratio values (1+4=5), and then multiply this value by each ratio value:
Value for each rectangle = Total number of atoms / Sum of ratio values
= 90 atoms / 5
= 18 atoms
Therefore, the value that should be inserted into each rectangle is 18 atoms.
To solve this question, we need to determine the number of carbon and hydrogen atoms in a sample of methane gas.
From the information given, we know that methane gas has a ratio of carbon atoms to hydrogen atoms of 1:4. This means that for every carbon atom, there are four hydrogen atoms.
We are also given that the total number of atoms in the sample is 90.
To find the values to be inserted into each rectangle, we can start by assigning a value to the carbon atoms. Since we know the ratio is 1:4, we can choose a convenient number for the carbon atoms, such as 10.
So, in the first rectangle labeled "carbon atoms," we insert the value 10.
To find the number of hydrogen atoms, we multiply the number of carbon atoms by the ratio of carbon to hydrogen atoms. In this case, 10 multiplied by 4 gives us 40.
Therefore, we insert the value 40 into each of the four rectangles labeled "hydrogen atoms."
Now, if we add up the values in all the rectangles, we have 10 (carbon) + 40 (hydrogen) + 40 (hydrogen) + 40 (hydrogen) + 40 (hydrogen) = 170.
However, we were given that the total number of atoms in the sample is 90. This means our initial assumption of assigning 10 to the carbon atoms was incorrect.
To find the correct value for the carbon atoms, we can divide the total number of atoms in the sample by the sum of the ratio values. In this case, 90 divided by (1 + 4) gives us 90 divided by 5, which is 18.
So, we insert the value 18 into the rectangle labeled "carbon atoms," and then calculate the value for each rectangle labeled "hydrogen atoms" by multiplying 18 by 4, which is 72.
Therefore, the value to be inserted into each rectangle is 18 for the carbon atoms and 72 for the hydrogen atoms.