Speed of sound related to absolute temperature

[Bolter]

Homework Statement

See image attached below

Relevant Equations

v = k * sqrt(T)

Here is the Q

Very unsure about how to approach this question but this is what I have tried

Any help would be really appreciated! Thanks

 

[FactChecker]

Your calculation of the multiplier, k, is not really necessary. The velocity of sound will change in proportion to $\sqrt T$, so you can scale velocity by $\sqrt {T_1} / \sqrt {T_0}$ without even knowing what k is.

 

[Bolter]

Your calculation of the multiplier, k, is not really necessary. The velocity of sound will change in proportion to $\sqrt T$, so you can scale velocity by $\sqrt {T_1} / \sqrt {T_0}$ without even knowing what k is.

Thank you, I have tried this and get the same value again. I'll keep a note of using next time I get a similar problem :)