5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volume has tripled.

c. What is the gas pressure after the decrease?

Question

5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volume has tripled.

c. What is the gas pressure after the decrease?

Accepted Answer

Hi, everyone. In this practice problem, we're being asked to determine the final pressure of a gas. We will have a gas contained in a piston and cylinder assembly at an initial pressure of two ATM and a volume of 500 mL, the gas undergoes an iso chloric cooling until the temperature is reduced to half of its initial value. We're being asked to determine the final pressure of the gas and the options are a two ATM B one ATM C four ATM and D 0.5 ATM. In this particular practice problem, the process that we are looking at is an iso chloric cooling. So Isochron cooling means a cooling with a constant volume of a gas. Therefore, the initial ideal gas relationship will actually reduce to P two, divided by T two equals to P one divided by P one. In this case, what we are anxious to find is the final pressure of the gas which is going to be P two. So let's rearrange this equation so that P two will then be equal to P one divided by T one multiplied by T two. So in the problem statement, it is given that P one is equals to two ATM and T two is equal to T one divided by two or half the original temperature. So in this case, let's substitute this two values so that we get P two to then be equal to P one, which is two ATM multiplied by T two, which is T one divided by two, divided by T one. So we can cross out the T one so that we will get P two to then be equal to two ATM divided by two which will then come out to the final pressure of the guess being one ATM. So one ATM will be the final answer to this particular practice problem which will correspond to option B in our answer choices. So option B will be the answer to this particular practice problem with the final pressure of the guest through an iso cooling being one ATM. So that'll be it for this video. If you guys still have any sort of confusion, please feel free to check out our ado lesson videos on similar topics available on our website. But other than that, that'll be it for this video and thank you so much for watching. Bye bye.

5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volume has tripled. c. What is the gas pressure after the decrease?

Verified Solution

Key Concepts

Isobaric Process

Ideal Gas Law

Charles's Law