Answered

The table below shows the percentages of gases in the atmospheres of Mars and Earth today.

\begin{tabular}{|l|c|c|}
\hline \multirow{2}{*}{Gas} & \multicolumn{2}{|c|}{Percentage of gas in atmosphere (\%)} \\
\cline{2-3} & Mars & Earth \\
\hline Carbon dioxide & 95.97 & 0.04 \\
\hline Nitrogen & 1.89 & 78.09 \\
\hline Oxygen & 0.15 & 20.95 \\
\hline Other gases & 1.99 & [tex][tex]$X$[/tex][/tex] \\
\hline
\end{tabular}

(b) Calculate the percentage [tex][tex]$X$[/tex][/tex] of other gases in the Earth's atmosphere. Use the table above.

[tex]
X = \quad \%
\]



Answer :

GinnyAnswer
To calculate the percentage [tex]\( X \)[/tex] of other gases in the Earth's atmosphere, we need to consider the total sum of the given percentages of all the listed gases in the atmosphere. The percentages provided for Earth are:

- Carbon dioxide (CO₂): 0.04%
- Nitrogen (N₂): 78.09%
- Oxygen (O₂): 20.95%

To find the percentage of other gases, we subtract the sum of these percentages from 100%.

Step-by-step approach:

1. Determine the sum of the percentages of the given gases:

[tex]\[ \text{Percentage of CO}_2 + \text{Percentage of N}_2 + \text{Percentage of O}_2 = 0.04\% + 78.09\% + 20.95\% \][/tex]

2. Calculate the total percentage:

[tex]\[ 0.04 + 78.09 + 20.95 = 99.08\][/tex]

3. Subtract this total percentage from 100% to find the percentage of other gases (X):

[tex]\[ X = 100\% - 99.08\% \][/tex]

4. Perform the subtraction:

[tex]\[ 100 - 99.08 = 0.92 \][/tex]

Thus, the percentage [tex]\( X \)[/tex] of other gases in the Earth's atmosphere is

[tex]\[ X = 0.92\% \][/tex]

Therefore, the answer is:

[tex]\[ X = 0.92\% \][/tex]