Chlorine is widely used to purify municipal water supplies and to treat swimming pool water. Suppose that the volume of a particular sample of Cl2 gas is 8.80 L at 895 torr and 24 °C
1. How many grams of Cl2 are in the sample?2.What volume will the Cl2 occupy at STP?3.At what temperature will the volume be 15.00 L if the pressure is 875 torr?4.At what pressure will the volume equal 6.40 L if the temperature is 58 ?C?

Respuesta :

Answer:

1.mass of Cl in sample = 15.09g

2.volume at STP= 9.53L

3.Temperature at 15L and 875torr= 494.7K

4.pressure at 6.4L and 58 °C= 1.80542atm

Explanation:

(1.) Using the ideal gas law to calculate, PV=nRT

R= 0.08206Latm/mol/K

we will convert P from torr to atm and T from  °C to K

P=895torr = 895/760 =1.1776atm

T= 24 °C+273 = 297K

n =[tex]\frac{PV}{RT}[/tex]

n= [tex]\frac{1.1776*8.8}{0.08206*297}[/tex]

n= 0.425 mol

mass= n*molar mass

molar mass of Cl = 35.5g/mol

mass= 0.425 *35.5

mass of Cl in sample = 15.09g

(2.) At stp, T=273K, P=1atm.

  Using the combined gas law , [tex]\frac{v1p1}{t1} =\frac{v2p2}{t2}[/tex]

v1 = 8.8L, p1= 1.1776atm, t1= 297K, v2=?, p2= 1atm, t2=273K

[tex]v2= \frac{v1p1t2}{p2t1}[/tex]

[tex]v2= \frac{8.8*1.1776*273}{1*297}[/tex]

v2=9.53L

(3.) t1=?  v1=15L   p1= 875torr/760 = 1.1513atm,

[tex]t1=\frac{v1p1t2}{v2p2}[/tex]

[tex]t1=\frac{15*1.1513*273}{9.53*1}[/tex]

t1= 494.7K

(4.) p1=?  v1=6.4L t1= 58°C+273 =331K

[tex]p1= \frac{v2p2t1}{v1t2}[/tex]

[tex]p1= \frac{9.53*1*331}{6.4*273}[/tex]

p1= 1.80542atm