The speed of a sound in a container of hydrogen at 201 K is 1220 m/s. What would be the speed of sound if the temperature were raised to 405 K? Assume that hydrogen behaves like an ideal gas.

Explanation

To find the speed of sound in hydrogen at a temperature of 405 K, we can use the relationship between the speed of sound and temperature in an ideal gas. The speed of sound \( v \) in an ideal gas is given by the formula:

\[ v = \sqrt{\frac{\gamma R T}{M}} \]

Where:
- \( \gamma \) is the adiabatic index (ratio of specific heats),
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