A helium-filled balloon has a volume of 2.68 L at 15◦C. The volume of the balloon decreases to 2.33 L after it is placed outside on a cold day. What is the outside temperature in K? Answer in units of K.

2 answers

Convert 15°C to °K:
15°C = 15+273.15°K
= 288°K

Then use the ideal gas equation
PV=nRT
n=number of moles (constant in this case)
R=constant
Assume also that P=pressure constant, we have
V1/T1 = V2/T2
Solve for T2 to get
T2=V2*(T1/V1)
Substitute initial temperature T1, volume V1 and final V2 to find T2.
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