Ideal Gas Law Problem

1. The problem statement, all variables and given/known data

Here is the problem: You are worried that your -80C freezer is on the fritz. Unfortunately you do not have a thermometer. You do have a balloon. so, you blow up the balloon and measure that it has a diameter of 10cm when at 25C. you put it in the freezer, let it come to thermal equilibrium, and measure the new volume to be 9cm. What is the temperature of the freezer? (assume the balloon is a perfect sphere).

A) -55C
B) -66C
C) -77C
D) -88C

2. Relevant equations

I’m really not sure how do solve this with the given information. I am also unsure if the "new volume" is a typo and is actually supposed to be new diameter since the cm are not cubed.

3. The attempt at a solution

I’ve tried putting numbers in the equation P1V1/T1=P2V2/T2 but never been able to come out with any of those answers.

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