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
The question seems incomplete as the rectangles are not specified. However, assuming it refers to the ratio quantities, here's a possible response.
Given the 1:4 ratio of carbon to hydrogen in methane and 90 total atoms in the sample, we can divide the total number of atoms by the sum of the ratio values (1+4=5). Therefore, 90/5 = 18. This means, for every "set" of atoms, there are 18 carbon atoms and 18*4 = 72 hydrogen atoms to maintain the 1:4 ratio. So, the number 18 should be inserted into the carbon atom rectangle and 72 into the hydrogen atom rectangle.
To determine the number of carbon and hydrogen atoms in the sample of methane gas, you can set up a ratio based on the given information.
Let's assign the unknown number as the value to be inserted into each rectangle.
The ratio of carbon to hydrogen atoms in methane gas is 1:4, which means for every 1 carbon atom, there are 4 hydrogen atoms.
Therefore, we can write the ratio as:
1 carbon atom : 4 hydrogen atoms
Now, we can set up a proportion using the given information:
1 carbon atom / 4 hydrogen atoms = 90 atoms / x
To solve for x (the value to be inserted into each rectangle), we can cross-multiply and solve the equation:
1 * x = 4 * 90
x = 360
Hence, the value to be inserted into each rectangle is 360.
To determine the value that should be inserted into each rectangle, we need to find the number of carbon and hydrogen atoms in the sample of methane gas.
Methane (CH4) consists of one carbon atom and four hydrogen atoms.
Let's start by representing the unknown value with x.
The number of carbon atoms = 1x
The number of hydrogen atoms = 4x
According to the given information, the total number of atoms in the sample is 90.
So, we can set up the equation:
1x + 4x = 90
Combining like terms:
5x = 90
To solve for x, we divide both sides of the equation by 5:
x = 90/5
x = 18
Therefore, the value that should be inserted into each rectangle is 18. This means that the sample of methane gas contains 18 carbon atoms and 72 hydrogen atoms.