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weqwewe [10]
3 years ago
6

A tank of methane gas contains 2.8 m³ of the gas at 20°C. The tank has a pressure-release valve that releases gas into a seconda

ry tank that will hold 0?2m³ of gas if the pressure rises. At what Celsius temperature will the methane fill both tanks?
*Using Boyles Law, Charles Law, or Gay Lussacs Law
Chemistry
1 answer:
IgorC [24]3 years ago
5 0
There is a typo in the question. hopefully, i assumed the correct number.

when volume and temperature are given, that means you need Charles' law. remember that with any gas formula, the temperature has to be in Kelvin which can be determined by simply adding 273 to Celsius.

Charles' law---> V1/T1 = V2/T2

V1= 2.8 m3
T1= 20 C = 293 K
V2= 0.2 m3
T2= ????

let's plug in the values

2.8/ 293 = 0.2/ T2

T2= 20.9 Kelvin

to change the answer to Celsius, just subtract 273 to the temperature

20.9 - 273= -252 Celsius
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The answer is:  " 56 g CaCl₂ " .
__________________________________________________________

Explanation:
__________________________________________________________
2.0 M CaCl₂  = 2.0 mol CaCl₂ / L  ; 

Since: "M" = "Molarity" (measurement of concentration); 

                  = moles of solute per L {"Liter"} of solution.
__________________________________________________________
Note the exact conversion:  1000 mL = 1 L . 

Given: 250 mL ;   

250 mL = ?  L  ?  ;  


250 mL * (1 L / 1000 L) =  (250/1000) L = 0.25 L . 
___________________________________________________________
 
(2.0 mol CaCl₂ / L ) * (0.25L) = (2.0) * (0.25) mol  = 0.50 mol CaCl₂ ;

We have: 0.50 mol CaCl₂ ;  Convert to "g" (grams):

→ 0.50 mol CaCl₂  .
___________________________________________________________
1 mol CaCl₂ = ? g ?

From the Periodic Table of Elements:

1 mol Ca = 40.08 g

1 mol Cl  =  <span>35.45 g .
</span>
There are 2 atoms of Cl in " CaCl₂ " ;  

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__________________________________________________________
So, to calculate the molar mass of "CaCl₂" :

40.08 g  +  2(35.45 g) = 

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                                 → round to 111 g/mol .
__________________________________________________________
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→  0.50 mol CaCl₂  = ? g CaCl₂  ? ; 

→  0.50 mol CaCl₂ * (111 g CaCl₂ / mol CaCl₂) ;

                                             = (0.50) * (111 g) CaCl₂ ;

                                             =  55.5 g CaCl₂  ;

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                                                →  56 g CaCl₂ .
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The answer is:  " 56 g CaCl₂ " .
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