Ideal gas laws dealing with pressure volume and temp.

In summary, an ideal gas is a theoretical gas with no volume and no interactions between particles that follows the laws of the ideal gas law. The ideal gas law is a mathematical equation that relates the pressure, volume, and temperature of an ideal gas. Changing pressure affects an ideal gas by causing it to expand or contract, while changing temperature affects it by altering its volume. According to the ideal gas law, pressure, volume, and temperature are directly proportional to each other.
  • #1
astru025
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Homework Statement



An ideal gas has the following initial conditions: Vi = 520 cm3, Pi = 3 atm, and Ti = 100°C. What is its final temperature if the pressure is reduced to 1 atm and the volume expands to 1000 cm3?

Homework Equations


I used the equation p1 x v1 / t1 = p2 x v2 / t2


The Attempt at a Solution


3atm x 5.2 m^3 / 100 C = .156
.156 = 1atm x 10 m^3 / T
T= 64.1 C.
This answer was incorrect and I'm wondering if someone could point me in the right direction?? Thanks!
 
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  • #2
First of all, you ALWAYS use absolute temperatures with gas law equations.
 

1. What is an ideal gas?

An ideal gas is a theoretical gas that follows the laws of the ideal gas law at all conditions of temperature and pressure. It is made up of particles that have no volume and do not interact with each other.

2. What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between the pressure, volume, and temperature of an ideal gas. It is written as PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

3. How does changing pressure affect an ideal gas?

According to the ideal gas law, as pressure increases, the volume of the gas decreases, and vice versa. This means that at a constant temperature, a decrease in pressure will cause the gas to expand, and an increase in pressure will cause it to contract.

4. How does changing temperature affect an ideal gas?

When the temperature of an ideal gas increases, the particles in the gas gain more kinetic energy and move faster. This causes the volume of the gas to increase, assuming the pressure remains constant. Similarly, a decrease in temperature will cause the particles to slow down and the volume of the gas to decrease.

5. What is the relationship between pressure, volume, and temperature in the ideal gas law?

According to the ideal gas law, pressure, volume, and temperature are all directly proportional to each other. This means that if one of these factors increases, at least one of the others must also increase in order to maintain a constant value for nRT.

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