Two solutions, initially at 24.60°c, are mixed in a coffee cup calorimeter (ccal = 15.5 j/°c). when a 100.0 ml volume of 0.100 m agno3 solution is mixed with a 100.0 ml sample of 0.200 m nacl solution, the temperature in the calorimeter rises to 25.30°c. determine the dh°rxn for the reaction as written below. assume that the density and heat capacity of the solutions is the same as that of water. nacl(aq) + agno3(aq) → agcl(s) + nano3(aq) dh°rxn = ?

Respuesta :

Hey there!:

moles of AgNO3 = 100 x 0.1 / 1000 = 0.01

moles of NaCl = 100 x 0.200 / 1000 = 0.02

volume of solution = 100 + 100 = 200 mL

mass of solution = 200 x 1 = 200 g

temperature rise = 25.30 - 24.60 = 0.70ºC

Therefore:

Q = m* Cp* ΔT + Cp* ΔT =

200* 4.184 * 0.70 + 15.5 * 0.70  =

Q = 596.61 J

Given the reaction:

Q = 596.61 J

NaCl(aq) + AgNO3(aq)--------> AgCl(s) + NaNO3(aq)

1 mole NaCl ------ 1 mole AgNO3 ------ 1 mole AgCl

0.02 moles NaCl ----- 0.01 moles AgNO3

So:

ΔH =  - Q / T

ΔH =  - 596.61 * 10⁻³ / 0.01

ΔH  = - 59.66 kJ


Hope that helps!



The standard heat of reaction for the given question is ΔH  = - 59.66 kJ

From the question, we are given that

Initial temperature, T₁ = 24.6

Final temperature, T₂ = 25.3

Specific heat capacity, Cp = 15.5

to start with, we say that

the number of moles of AgNO₃ = 100 × [tex]\frac{0.1}{1000}[/tex] = 0.01

the number of moles of NaCl = 100 × [tex]\frac{0.2}{1000}[/tex] = 0.02

If we then add up the volume of solutions given to us, we get

100 + 100 = 200 mL

From the question again, we are told that the mass of solution 200g

We know from theory that the change in temperature, ΔT=

ΔT = T₂ - T₁

ΔT = 25.30 - 24.60

ΔT = 0.70ºC

And finally, we apply the formula  

Q = (m × Cp × ΔT) + (Cp × ΔT) =

Q = (200 × 4.184 × 0.70) + (15.5 × 0.70) =

Q = 585.76 + 10.85

Q = 596.61 J

The chemical reaction for the question is  

NaCl(aq) + AgNO₃(aq)   --> AgCl(s) + NaNO₃(aq)

From the equation above, we can conclude that 1 mole NaCl = 1 mole AgNO₃ = 1 mole AgCl

This also means that, 0.02 moles NaCl will react with 0.01 moles AgNO₃

With that established, we can then adjudge that

ΔH =  - Q / T

ΔH =  -  [tex]\frac{596.61 * 10^-3}{0.01 }[/tex]

ΔH  = - 59.66 kJ

for more explanation, visit https://brainly.com/question/16720480