Need Help Solving: P1V1/T1=P2V2/T2?

  • Thread starter j88k
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In summary, the ideal gas law, represented by the equation P1V1/T1=P2V2/T2, describes the relationship between the pressure, volume, and temperature of an ideal gas. It is commonly used in various scientific research fields to predict and calculate the behavior of gases. The units of measurement for each variable are typically atmospheres, liters, and Kelvin. While it is a good approximation for most gases, it is not accurate for all, particularly at high pressures and low temperatures. The equation can also be rearranged to solve for a specific variable by manipulating the equation algebraically.
  • #1
j88k
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Homework Statement



see attached screenshot.

Homework Equations



P1V1/T1=P2V2/T2

The Attempt at a Solution



I'm running out of time and I need a full guide to the solution.
Thank you.
 

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  • #2
Hi j88k! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
  • #3


Hello,

I understand that you are looking for a guide to solve the problem shown in the attached screenshot. This equation is known as the Ideal Gas Law, which relates the pressure, volume, and temperature of an ideal gas. Here is a step-by-step guide to solving this equation:

1. Identify the variables: The variables in this equation are P1 (initial pressure), V1 (initial volume), T1 (initial temperature), P2 (final pressure), V2 (final volume), and T2 (final temperature). Make sure you have all the values for these variables before proceeding.

2. Rearrange the equation: The ideal gas law can be rearranged to solve for any of the variables. In this case, we are solving for P2. Therefore, the equation becomes P2 = (P1V1T2)/(V2T1).

3. Plug in the values: Now, substitute the values you have for the variables into the equation. Make sure to use the correct units for each variable (e.g. pressure in atmospheres, volume in liters, temperature in Kelvin).

4. Solve the equation: Use basic algebraic principles to solve for P2. This may involve multiplying or dividing both sides of the equation by a certain value, or combining like terms.

5. Check your answer: It's always a good idea to double-check your answer to make sure it makes sense. For example, if you are solving for pressure, the unit of your answer should be in atmospheres. If it is not, then you may have made a mistake in your calculations.

I hope this guide helps you solve the problem. If you are still having trouble, feel free to reach out for further assistance. Good luck!
 

1. What is the meaning of "P1V1/T1=P2V2/T2"?

The equation P1V1/T1=P2V2/T2 is known as the ideal gas law, which describes the relationship between the pressure (P), volume (V), and temperature (T) of an ideal gas. It states that the initial pressure and volume of a gas (P1 and V1) multiplied by the initial temperature (T1) is equal to the final pressure and volume (P2 and V2) multiplied by the final temperature (T2).

2. How is the ideal gas law used in scientific research?

The ideal gas law is used in various scientific fields, such as chemistry, physics, and engineering, to calculate and predict the behavior of gases. It is particularly useful in studying gas reactions, determining the amount of gas produced or consumed, and designing gas containment systems.

3. What are the units of measurement for each variable in the ideal gas law?

The pressure (P) is typically measured in units of atmospheres (atm), volume (V) in liters (L), and temperature (T) in Kelvin (K). It is important to note that the temperature must always be in Kelvin, as it is an absolute scale. If the temperature is given in degrees Celsius (°C), it must be converted to Kelvin by adding 273.15.

4. Can the ideal gas law be applied to all gases?

While the ideal gas law is a good approximation for most gases at low pressures and moderate temperatures, it is not accurate for all gases. This is because it assumes that gas particles have no volume and do not interact with each other. At high pressures and low temperatures, the volume of gas particles and intermolecular forces become significant, and the ideal gas law no longer applies.

5. How can the ideal gas law be rearranged to solve for a specific variable?

Since the ideal gas law is an algebraic equation, it can be rearranged to solve for any of the variables. For example, to solve for pressure, the equation can be rearranged to P1V1/T1=P2V2/T2, and then multiplied by T2 on both sides and divided by V2, yielding P2 = P1V1T2/V2T1. By plugging in the known values for the other variables, the pressure can be calculated. Similarly, the equation can be rearranged to solve for volume or temperature.

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