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The volume of a gas is $5.80 \mathrm{L},$ measured at $1.00 \mathrm{atm}$ What is the pressure of the gas in $\mathrm{mmHg}$ if the volume is changed to 9.65 L? (The temperature remains constant.)

$$457 \mathrm{mmHg}$$

Chemistry 101

Chapter 5

Gases

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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, we are given the initial volume off gas as five point eight leaders. The initial pressure at 1 p.m. The final wall you is 9.65 litres in the final. Pressure is unknown and they want us to solve for it in and in a cheat. Now we can just convert initial pressure to MME. G to get the same units for the answer. So 1 80 Emmis 7 60 m m a g really use Boyle's law since the temperature's constant in this problem. So we'll have p i times we I over the f the equal pf so we'll do that. Math seven 7 60 and a g times 5.8 Leaders divided by 9.65 leaders where the leaders will get canceled and we only have MME. G. After doing the math, we get that the final pressure in M m A. G is equal to 4 56.8 mm h e, which can be rounded to 4 57 So our final answer is equal to 4 50 seven and then a G

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