Answer:
The final pressure inside the balloon will be .
Explanation:
Given initial temperature of the balloon is
And the final temperature of the balloon is
Initially, the balloon is at atmospheric pressure and volume be
And the final pressure in the balloon is and the volume be
Also, it is given in the question that the final volume became twenty-two times the original volume.
We can write
Now, using ideal gas equation.
Where, is the gas constant. And
is moles of substance inside the balloon.
In our problem the value of will be the same for both cases. Also,
is the gas constant.
Also, we have from the question.
We need to convert the temperature from to Kelvin.
Plug these values we get,
So, the final pressure inside the balloon will be .