At 25°C and 754 torr, 2.50 moles of Ne occupies a volume of 60.6 L. At constant temperature and pressure, how many moles of Ne must be removed to reduce the volume to 45.0 L?

Respuesta :

Answer:

number of moles removed = 0.6436 moles

Explanation:

given data

volume v1 = 60.6 L

volume v2 = 45.0 L

moles of Ne n1 = 2.50 moles

temperature =  25°C

solution

we will use here gas law  that is express as

PV = nRT   .........................1

so here we get here  number of moles

so equation will be as

P1 × V1 = n1 × R × T1

and

P2 × V2 = n2 × R × T2

so from above two equation we can say at pressure and temperature constant so

[tex]\frac{V1}{V2} =\frac{n1}{n2}[/tex]    ...............2

put here value we get

[tex]\frac{60.6}{45} =\frac{2.50}{n2}[/tex]

n2 = 1.856 moles

so 1.856 moles occupied when volume is 45 L

so here number of moles removed will be

number of moles removed = initial moles - final moles    ...............3

put here value

number of moles removed = 2.50 - 1.856

number of moles removed = 0.6436 moles

Answer:

Explanation:

P1 = 754 torr

T1 = 25°C

n1 = 2.5 moles

V1 = 60.6 L

V2 = 45 L

Use ideal gas equation

P1 x V1 = n1 x R T1 .... (1)

Here pressure and the temperature remains constant

P1 x V2 = n2 x R x T1 ..... (2)

Divide equation (1) by (2)

V1 / V2 = n1 / n2

60.6 / 45 = 2.5 / n2

n2 = 1.856

So, the number of moles removed is 2.5 - 1.856 = 0.644