# Using Ideal Gas Law to find P, V, or T

• Samurai Weck
In summary: The conversation is about solving a gas law problem where 0.290 mol of argon gas is admitted to a container and undergoes an isochoric heating. The conversation involves confusion about the correct units for pressure and how to convert between them. In summary, the conversation is about solving a gas law problem involving argon gas and confusion about pressure units and conversions.
Samurai Weck
Ok, so I'm doing this homework online and I THINK I'm doing it correctly, but I'm getting incorrect answers.

## Homework Statement

0.290 mol of argon gas is admitted to an evacuated 40.0 cm^3 container at 60.0 degrees C. The gas then undergoes an isochoric heating to a temperature of 300 degrees C.

What is the final pressure of the gas?

## Homework Equations

p=(nRT)/V and p(f)/T(f)= p(i)/T(i)

## The Attempt at a Solution

Okay, so I need to find p(i).
n=.290 mol
V=40 cm^3 = 40cm^3(1m/100 cm)^3 = 4x10^-5 m^3
T= 60.0 degrees C = 60 C + 273 = 333 K
R= the ideal gas constant which is 8.31 J/mol K

Therefore,
p(i)= (.290 mol * 8.31 J/mol K * 333 K)/ (4x10^-5 m^3)
p(i) = 2.01x10^7 atm

Now that I know p(i), i can then solve for the temperature increase to find p(f)

p(f) = p(i)T(f)/T(i)
p(f) = (2.01x10^7 atm * 573 K)/ 333 K = 34586486 atm = 3.46x10^7 atm

They want the answer in kPa, and converting atm to kPa online yielded 3.50x10^10.

I'm completely clueless as to what I'm doing wrong. There are two other problems asking for either p or V which seem to have the same basis. If I can figure out what I'm doing wrong here, I should be able to understand why I'm doing the rest wrong. Thank you.

Ah, disregard my question. I was mistaken when I thought that pressure in p=nRT comes out in atm. It actually is in Pa and you have to change 3.46x10^7 to 3.46x10^4.

## 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.

## What is the equation for the Ideal Gas Law?

The equation for the Ideal Gas Law is PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature.

## How do you use the Ideal Gas Law to find pressure?

To find pressure using the Ideal Gas Law, you would rearrange the equation to P = nRT/V, where n is the number of moles of gas, R is the gas constant, T is temperature, and V is volume. Then, plug in the known values and solve for P.

## How do you use the Ideal Gas Law to find volume?

To find volume using the Ideal Gas Law, you would rearrange the equation to V = nRT/P, where n is the number of moles of gas, R is the gas constant, T is temperature, and P is pressure. Then, plug in the known values and solve for V.

## How do you use the Ideal Gas Law to find temperature?

To find temperature using the Ideal Gas Law, you would rearrange the equation to T = PV/nR, where P is pressure, V is volume, n is the number of moles of gas, and R is the gas constant. Then, plug in the known values and solve for T.

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