Physics: Expansion at constant pressure

In summary, the problem involves an unknown number of moles of an ideal monoatomic gas expanding reversibly from an initial volume of 2.30 m3 to a final volume of 3.10 m3, at a constant pressure of 1.71 atm and an initial temperature of 300 K. The task is to find the number of moles of gas, the final temperature in Kelvin, and the work done by the gas. Using the ideal gas law (PV=nRT) and converting the units of pressure and volume, the initial volume is used for V, 8.315 is used for R, and the initial temperature in Kelvin is used to solve for n. However, the answer keeps coming up as incorrect.
  • #1
FutureE'neer
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Homework Statement



An unknown number of moles of an ideal monoatomic gas expand reversibly from Vi = 2.30 m3 to Vf = 3.10 m3, at a constant pressure of 1.71 atm and an initial temperature of 300 K.
Find the number of moles of gas.
Find the final temperature of the gas K.
Calculate the work done by the gas.

Homework Equations



I'm using PV=nRT

The Attempt at a Solution



Converting the pressure in atm to N/m^2 and m^3 to L. I'm using the initial volume for V, 8.315 for R and the initial temp in K and solving for n. I keep getting the same answer and it is coming up wrong. Please help!
 
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  • #2
Write out all the units during your calculation. Do the units make sense in the end? Also, this isn't advanced physics.
 

What is expansion at constant pressure in physics?

Expansion at constant pressure is a thermodynamic process in which a substance expands while its pressure remains constant. This can occur when a substance is heated or when it undergoes a phase change.

How is expansion at constant pressure different from expansion at constant volume?

The main difference between expansion at constant pressure and constant volume is that in the former, the pressure remains constant while the volume changes, while in the latter, the volume remains constant while the pressure changes. This leads to different equations and calculations for each type of expansion.

What is the equation for calculating expansion at constant pressure?

The equation for calculating expansion at constant pressure is ΔV = βVΔT, where ΔV is the change in volume, β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.

What are some real-life examples of expansion at constant pressure?

Some examples of expansion at constant pressure are the expansion of air in a hot air balloon, the expansion of a gas in a sealed container when heated, and the expansion of water when it freezes into ice.

How does expansion at constant pressure relate to the ideal gas law?

Expansion at constant pressure is one of the processes that can be described by the ideal gas law, which states that the pressure, volume, and temperature of an ideal gas are all related. In this case, the equation PV = nRT can be used to calculate the change in volume when pressure and temperature are kept constant.

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