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Lady_Fox [76]
3 years ago
5

how many liters of a 60% antifreeze solution must be added to 8L of a 10% antifreeze solution to produce a 20% antifreeze soluti

on?
Chemistry
1 answer:
Tasya [4]3 years ago
5 0

Answer: 2Liters

Explanation:

The expression used will be :

M_1V_1+M_2V_2=M_3V_3

where,

M_1 = concentration of first antifreeze= 60%

M_2 = concentration of second  antifreeze= 10%

V_1 = volume of first antifreeze = x L

V_2 = volume of second antifreeze = 8 L

M_3 = concentration of final antifreeze solution= 20%

V_3 = volume of final antifreeze = (x+8) L

Now put all the given values in the above law, we get the volume of  antifreeze added

60\times x+10\times 8=20\times (x+8)

x=2L

Therefore, the volume of 60% antifreeze solution that must be added is 2L

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Which reactant will be in excess, and how many moles of it will be left over?
timofeeve [1]

Answer:

Oxygen with 0.36 moles left over

Explanation:

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Suppose you find a rock that contains some potassium-40 (half-life of 1.3 billion years). you measure the amount and determine t
Alborosie
Equation for Half life :
A = a(0.5)^(t/h)
A is current amount, "a" is initial amount, h is halflife, t is time

5 = 40(0.5)^(t/1.3x10^9)
5/40 = (0.5)^(t/1.3x10^9)
take the log of both sides , power rule
Log(5/40) = (t/1.3x10^9) * Log(0.5)
(1.3x10^9) * Log(5/40) / Log(0.5) = t
3.9x10^9 years = t

And if you think about what a half life is, the time it take for the amount to reduce to half.
40/2 = 20
20/2 = 10
10/2 = 5
It went through 3 half-lifes
3 * 1.3x10^9 = 3.9x10^9 years

7 0
3 years ago
Write this number in scientific notation: 0.000467?
Troyanec [42]

Answer:

Explanation:

scientific notation of 0.000467 is

  4.67*10^-4

3 0
3 years ago
•6.5 L of a gas has a pressure of 840 mmHg and temperature of 84 0C. What will be its volume at STP
EastWind [94]

Answer:

5.5 L

Explanation:

Step 1: Given data

  • Initial volume (V₁): 6.5 L
  • Initial pressure (P₁): 840 mmHg
  • Initial temperature (T₁): 84 °C
  • Final volume (V₂): ?
  • Final pressure (P₂): 760 mmHg (standard pressure)
  • Final temperature (T₂): 273.15 K (standard temperature)

Step 2: Convert T₁ to Kelvin

We will use the following expression.

K = °C + 273.15

K = 84 °C + 273.15 = 357 K

Step 3: Calculate the final volume of the gas

We will use the combined gas law.

P₁ × V₁ / T₁ = P₂ × V₂ / T₂

V₂ = P₁ × V₁ × T₂ / T₁ × P₂

V₂ = 840 mmHg × 6.5 L × 273.15 K / 357 K × 760 mmHg = 5.5 L

5 0
3 years ago
Substance ΔG°f(kJ/mol) M3O4(s) −8.80 M(s) 0 O2(g) 0 Consider the decomposition of a metal oxide to its elements, where M represe
baherus [9]

Answer:

The equilibrium constant is  K =0.02867

The equilibrium pressure for oxygen gas is  P_{O_2} =  0.09367\  atm

Explanation:

  From the question we are told that

       The equation of the chemical reaction is

                    M_2 O_3 _{(s)} ----> 2M_{(s)} + \frac{3}{2} O_2_{(g)}

   The Gibbs free energy forM_3 O_4_{(s)} is  \Delta G^o_{1}  = -8.80 \ kJ/mol

  The Gibbs free energy forM{(s)} is  \Delta G^o_{2}  = 0 \ kJ/mol

    The Gibbs free energy forO_2{(s)} is  \Delta G^o_{3}  = 0 \ kJ/mol

The Gibbs free energy of the reaction is mathematically represented as

         \Delta G^o_{re} = \sum \Delta G^o _p - \sum G^o _r

         \Delta G^o_{re} = \sum \Delta G^o _1 - \sum( G^o _2 +G^o _3)

Substituting values

From the balanced equation

         \Delta G^o_{re} =[ (2 * 0) + (\frac{3}{2} * 0 )] - [1 * - 8.80]

        \Delta G^o_{re} = 8.80 kJ/mol =8800J/mol

The Gibbs free energy of the reaction can also be represented mathematically as

           \Delta G^o_{re} = -RTln K

Where R is the gas constant with a value of  R = 8.314 J/mol \cdot K

             T is the temperature with a given value  of  T = 298 K

             K is the equilibrium constant

Now equilibrium constant for a reaction that contain gas is usually expressed in term of the partial pressure of the reactant and products that a gaseous in state

The equilibrium constant for this chemical reaction  is mathematically represented as

                          K_p =[ P_{O_2}]^{\frac{3}{2} }

Where   [ P_{O_2}] is the equilibrium pressure of oxygen

         The p subscript shows that we are obtaining the equilibrium constant using the partial pressure of gas in the reaction

Now equilibrium constant the subject on the  second equation of the Gibbs free energy of the reaction

 

           K = e^{- \frac{\Delta G^o_{re}}{RT} }

Substituting values

           K= e^{\frac{8800}{8.314 * 298} }

            K =0.02867

Now substituting this into the equation above to obtain the equilibrium of oxygen

           0.02867 = [P_{O_2}]^{[\frac{3}{2} ]}

multiplying through by 1 ^{\frac{2}{3} }

        P_{O_2} =  [0.02867]^{\frac{2}{3} }

        P_{O_2} =  0.09367\  atm

       

3 0
3 years ago
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