A balloon is inflated to 1.50 L with nitrogen gas,N 2 , at a particular initial

Question

A balloon is inflated to 1.50 L with nitrogen gas,N2, at a particular initial temperature and pressure,and tied-off. Assume that the temperatures and pressures referred to arealways those prevailing inside the balloon.
To what volume will the balloon contract or expand when: The pressure is reduced to one third of the initial value andthe Kelvin temperature is also reduced to one third of the initialvalue? The pressure is reduced to one-half the initial value and theKelvin temperature is also reduced to one-half the initialvalue? (again, relative to the initial conditions)
Assume that the temperatures and pressures referred to arealways those prevailing inside the balloon.

Explanation / Answer

We know that PV / T = P'V' / T' Given P' = P / 3           T' = T/ 3 Plug the values we have PV/T = (P/3) V' / ( T/3)                                          V' = V = 1.5 L We know that PV / T = P'V' / T' Given P' = P / 2           T' = T/ 2 Plug the values we have PV/T = (P/2) V' / ( T/2)                                          V' = V = 1.5 L We know that PV / T = P'V' / T' Given P' = P / 2           T' = T/ 2 Plug the values we have PV/T = (P/2) V' / ( T/2)                                          V' = V = 1.5 L

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