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Calculate the final pressure of a sample...

Calculate the final pressure of a sample of carbon dioxide that expands reversibly and adiabatically from `57.4kPa` and `1.0` to a final volume of `2.0L` . Take `gamma = 1.4`

A

`1 kPa`

B

`10 kPa`

C

`20 kPa`

D

`22kPa`

Text Solution

Verified by Experts

The correct Answer is:
2

For reversible adiabatic expansion
`P_(f)V_(f)^(gamma)=P_(l)V_(j)^(gamma)so p_(f)=p_(i)((V_(i))/(V_(f)))^(gamma)=(57.4kPa)xx((1.0L)/(2.0L))^(1.4)=22kPa`
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