Can someone help me figure out how to do this you are worried that your -80 C fr

Question

Can someone help me figure out how to do this

you are worried that your -80 C freezer is on the fritz. It is vital that this freezer is working because you store all your protein, bacteria, and tissue samples in it! 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 10 cm when at 25 C. YOu put it in the freezer, let it come to thermal equilibrium and measure the new volume to be 9 Cm. What ist a temperature of the freezer?

The answer choices are:

A) -55 C

B) -66 C

C) -77 C

D) -88 C

Explanation / Answer

V is proptional to r^3 and also propryional to temperaure in Kelvin

so , T1/ r1^3 = T2/ r2^3

T2 = T1 * (r2/r1)^3

= (25+273) * (9/10)^3

= 217.242 K

= -55 degrees

Ans (a)

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