Through which gas in the table will sound waves travel faster than they would through ammonia?

\begin{tabular}{|l|c|c|c|c|c|}
\hline & Air (dry) & Ammonia & Methane & \begin{tabular}{c}
Nitrous \\
oxide
\end{tabular} & Argon \\
\hline \begin{tabular}{c}
Speed of \\
sound \\
(m/s)
\end{tabular} & 346 & 415 & 450 & 263 & 323 \\
\hline
\end{tabular}

A. Nitrous oxide
B. Air
C. Argon
D. Methane



Answer :

To determine through which gas sound waves travel faster than they would travel through ammonia, we need to compare the speed of sound in ammonia with the speeds of sound in the other gases listed in the table.

The speed of sound in ammonia is given as 415 m/s.

Now, let's look at the speeds for the other gases in the table:

1. Speed of sound in air (dry): 346 m/s
2. Speed of sound in ammonia: 415 m/s
3. Speed of sound in methane: 450 m/s
4. Speed of sound in nitrous oxide: 263 m/s
5. Speed of sound in argon: 323 m/s

We need to find which of these gases has a speed of sound greater than 415 m/s (the speed of sound in ammonia).

- For air: 346 m/s is less than 415 m/s.
- For methane: 450 m/s is greater than 415 m/s.
- For nitrous oxide: 263 m/s is less than 415 m/s.
- For argon: 323 m/s is less than 415 m/s.

From the comparison, it is clear that the sound waves travel faster through methane (450 m/s) than they do through ammonia (415 m/s).

Therefore, the answer is:
D. Methane