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Chapter 12: Problem 42

A balloon filled with helium has a volume of 2.30 L on a warm day at 311 K. It is brought into an air-conditioned room where the temperature is 295 \(\mathrm{K}\) . What is its new volume?

Short Answer

Expert verified
The new volume of the balloon at 295K is 2.18L.

Step by step solution

01

Understand the problem and identify the given values

Using the information given, we see that the initial volume(V1) of the gas is 2.30L and the initial temperature(T1) is 311K. The final temperature(T2) is 295K. The goal is to find the final volume(V2).
02

Formulate the equation based on the law

According to Gay-Lussac's law, the ratio of volume and temperature remains constant provided the pressure is constant. Therefore, we have the following equation: \(V1/T1 = V2/T2\) or rearranged to find the new volume: \(V2 = (V1/T1) * T2\).
03

Insert the known values into the equation and solve

Substituting the known values, we get: \(V2 = (2.30L/311K) * 295K\).
04

Perform the calculation

Calculating the expression, we get \(V2 = 2.18L\).

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Most popular questions from this chapter

A polyethylene plastic weather balloon contains 65 . of helium, which is at \(20.0^{\circ} \mathrm{C}\) and 94.0 \(\mathrm{kP}\) . How many moles of helium are in the balloon?

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