Question #349114

A sample of a gas occupies 75.0mL at 0.400atm. If the temperature remains constant, a.)what volume would the gas occupy at 4.00atm? b.) How about 0.00400 atm? (Note: 1atm = 1.01325 x105 Pa)


1
Expert's answer
2022-06-09T02:17:03-0400

V0 – initial volume = 75 ml

V – final volume = ? ml

P0 – initial pressure = 0,4 atm

P – final pressure: a) 4 atm; b) 0,004 atm


The Boyle's law itself can be stated as follows: for a fixed amount of an ideal gas kept at a fixed temperature, P (pressure) and V (volume) are inversely proportional—that is, when one doubles, the other is reduced by half:


VV0=P0P\cfrac {V}{V_0}=\cfrac {P_0}{P}


V=V0P0PV= \cfrac {V_0*P_0}{P}


a)

V=750,44=7,5mlV= \cfrac {75*0,4}{4} = 7,5ml


b)

V=750,40,004=7500ml=7,5lV=\cfrac {75*0,4}{0,004}= 7500ml= 7,5 l


Answer:

a) 7,5ml7,5ml

b) 7,5l7,5l


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