Solve Gas Law Problems: Volumes, Pressures, & Temperatures

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SUMMARY

This discussion focuses on solving gas law problems using Boyle's Law and the Combined Gas Law. Key calculations include determining the new volume of gas under varying temperatures and pressures, as well as the pressure changes when gas is heated in a closed container. The ideal gas law (PV=nRT) is referenced for solving various scenarios, including the behavior of gas bubbles under pressure changes. The importance of converting Celsius to Kelvin for accurate calculations is emphasized.

PREREQUISITES
  • Understanding of Boyle's Law (P1/P2 = V2/V1)
  • Familiarity with the Combined Gas Law (P1V1/T1 = P2V2/T2)
  • Knowledge of temperature conversion from Celsius to Kelvin
  • Basic concepts of pressure, volume, and temperature relationships in gases
NEXT STEPS
  • Learn detailed applications of Boyle's Law in real-world scenarios
  • Study the Combined Gas Law for complex gas behavior analysis
  • Explore the Ideal Gas Law (PV=nRT) and its derivations
  • Investigate the effects of temperature and pressure on gas density
USEFUL FOR

Chemistry students, physics enthusiasts, and professionals in fields involving gas behavior, such as engineering and environmental science, will benefit from this discussion.

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Gas Law Problems
A gas-filled balloon occupies a 4-L volume at a pressure of 300kPa. What volume will the balloon occupy if it rises to a height of where the pressure is 200kPa?

Calculate the hieght to which a pressure of one atmosphere can life a column of water. Mercury is 13.6 times as dense as water.

a 60-m^3 volume of gasy is at a temperature of 27 degrees Celsius. Under constant pressure the gas is cooles to -73 degrees Celsius. Calculate the new volume of gas.

While held at a constant pressure, 12 L of gas are heated at 127.5 degrees celsius. If the new volume is 18L, what was the original temperature of the gas in degrees celsius?

A gas is kept in a closed container at 620kPa. The gas is heated from 100 degrees celsius to 300 degrees celsius. Calculate the new pressure of the gas.

a 6.0-L volume of gas has a pressure of 140 kPa and a temperature of -14 degrees celsius. What will be the pressure of this gas if the volume is reduced to 1.5 L and the temperature raised to 504 degrees celsius?

The density of air is 1.3g/L at standard conditions of 101 kPa and 0 degrees celsius. Determine the mass of 3.0 L of ait at a pressure of 138.2 kPa and a temperature of 273 degrees celsius.

One atmosphere of air pressure supports a column of water approximately 10.3 m high. A 2.0 cm^3 bubble of air is released by a diver working 62.4 m below the surface of a deep lake. If its temperature remains constant, what is the volume of the bubble as it reaches the surface? Hint: the pressure on the surface of the lake is on atm.
 
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I think these can all be solved using the ideal gas law, pv=nrt

Since you didn't ask specificly for direction and have shown no work, this is about the most help you can expect to get here.


Hint:
Calculate the hieght to which a pressure of one atmosphere can life a column of water. Mercury is 13.6 times as dense as water.


and the answer is in another problem:
One atmosphere of air pressure supports a column of water approximately 10.3 m high.
 
I just got done with this lesson in chemistry. Most of those can be solved using the Boyle's Law and Combined Gas Law.

boyle's law - P1/P2 = V2/V1

Combined gas law - P1V1/T1 = P2V2/T2


P-Pressure
V-Volume
T-Temperature

*You might have to get P1 by using PG=Patm-Hg or PG=Patm-Hg-H2O

*Remember to change Celsius to Kelvins (C + 273)

There's some problems on there I don't know how to do.

I don't know why this is on a general physics forum. I've haven't had
physics yet. Am I going to see Gas Law again?
 

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