Which Bottle Rocket Fuel Achieves Higher Altitudes?

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A bottle filled with a less dense fluid is expected to achieve higher altitudes compared to one filled with a dense fluid, assuming the same volume. The speed of sound in gases is influenced by their density, with lower density gases typically allowing for higher exit velocities. The upward thrust generated by the exiting gas is directly related to its velocity, impacting the overall performance of the bottle rocket. Additionally, gas density plays a crucial role in determining the rocket's weight, affecting its ability to ascend. Understanding these relationships is essential for optimizing bottle rocket designs for maximum altitude.
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Bottle Rocket Fuels (URGENT)

Assuming the same volume, which should travel higher - a bottle filled with a dense fluid or a bottle filled with a less dense fluid?
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If you assume the nozzle is only convergent, the gas will exit the bottle at a mach number of unity.

What can you say about the speed of sound and the density of gases?
What is the upward thrust of the exiting gas in terms of exiting velocity?
How does the gas density affect the rocket weight?
 

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