If the temperature of the helium balloon were increased from 30°C to 35°C and the volume of the balloon only expanded from 0.47L to 1.55L, how much pressure would be inside the balloon?

Final pressure will be 0.308 times the initial pressure

Explanation:

To solve this problem, we can use the equation of state for an ideal gas:

where

p is the gas pressure

V is the volume of the gas

n is the number of moles

R is the gas constant

T is the absolute temperature of the gas

For a gas under transformation, we can write the equation as:

where for the gas in this problem:

= is the initial pressure (not given)

is the initial volume

is the initial temperature

is the final pressure

is the final volume

is the final temperature

Solving for p2, we find:

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