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A gas-filled balloon having a volume of $2.50 \mathrm{L}$ at 1.2 atm and $25^{\circ} \mathrm{C}$ is allowed to rise to the stratosphere (about $30 \mathrm{km}$ above the surface of Earth), where the temperature and pressure are $-23^{\circ} \mathrm{C}$ and $3.00 \times 10^{-3}$ atm, respectively. Calculate the final volume of the balloon.

$$840 \mathrm{L}$$

Chemistry 101

Chapter 5

Gases

Taylor R.

March 17, 2021

Hello I believe you switched T2 and P2 in your work, right? still got the right answer though... ambiguous sig figs thought.

Carleton College

Rice University

University of Kentucky

Brown University

Lectures

05:03

In physics, a gas is one of the three major states of matter (the others being liquid and solid). A gas is a fluid that does not support tensile stress, meaning that it is compressible. The word gas is a neologism first used by the early 17th-century Flemish chemist J.B. van Helmont, based on the Greek word ("chaos"), the simplest of all the elemental forms of matter.

04:46

In physics, thermodynamics is the science of energy and its transformations. The three laws of thermodynamics state that energy can be exchanged between physical systems as heat and work; that the total energy of a system can be calculated by adding up all forms of energy in the system; that energy spontaneously flows from being localized to becoming dispersed, spread out, or uniform; and that the entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.

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in this problem were given initial volume as 2.5 liters initial pressure as 1.2 PM an initial temperature as 25 degrees house use, which is to 98. Calvin. All these convert your temperature into Kelvin just to avoid any confusion we have to solve for final wall you and were given the final pressure as three times 10 to the negative third a. T. M. And the final temperature as negative 23 degrees Celsius, which is 2 50 killed in so we can combine Boys Law and Charles law to derive this equation to solve for the final. Well, you when we rearrange this equation, we can sell for final volume and we get this 2.5 liters times 1.2 a. T m. Over to 98 killed in times 2 50 cabin over three times 10 to the negative. Third a. T m. We get. When we saw this we get 8 39 litres which can be rounded to 8 40 litres. Four significant figures. So eight forties. The final answer

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