Answer to Question #349114 in General Chemistry for shaina

Question

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)

Answer 1

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:

$\cfrac {V}{V_0}=\cfrac {P_0}{P}$

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

a)

$V= \cfrac {75*0,4}{4} = 7,5ml$

b)

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

Answer:

a) $7,5ml$

b) $7,5l$