Answer:
(a) x₁= 0.004 444; (b) y₁ = -0.9545; (c) x₂ = 0.001 905; (d) y₂ = -0.4541;
(e) rise = 0.5004; (f) run = -0.002 539; (g) slope = -197.1; (h) Eₐ = -1.64 kJ·mol⁻¹
Explanation:
This is an example of the Arrhenius equation:
Thus, if you plot ln k vs 1/T, you should get a straight line with slope = -Eₐ/R and a y-intercept = lnA
(a) x₁
x₁= 1/T₁ = 1/225 = 0.004 444
(b) y₁
y₁ = ln(k₁) = ln0.385 = -0.9545
(c) x₂
x₂= 1/T₂ = 1/525 = 0.001 905
(d) y₂
y₂ = ln(k₂) = ln0.635 = -0.4541
(e) Rise
Δy = y₂ - y₁ = -0.4541 - (-0.9545) = -0.4541 + 0.9545 = 0.5004
(f) Run
Δx = x₂ - x₁ = 0.001 905 - 0.004 444 = -0.002 539
(g) Slope
Δy/Δx = 0.5004/(-0.002 539) K⁻¹ = -197.1
(h) Activation energy
Slope = -Eₐ/R
Eₐ = -R × slope = -8.314 J·K⁻¹mol⁻¹ × (-197.1 K⁻¹) = 1638 J/mol = 1.64 kJ/mol
<h3><u>Answer;</u></h3>
321.8 g CaF2
321.5 g Al2(CO3)3
<h3><u>Explanation;</u></h3>
The equation for the reaction is;
3 CaCO3 + 2 AlF3 → 3 CaF2 + Al2(CO3)3
Number of moles of CaCO3 will be;
=(412.5 g CaCO3) / (100.0875 g CaCO3/mol)
= 4.12139 mol CaCO3
Number of moles of AlF3 will be;
= (521.9 g AlF3) / ( 83.9767 g AlF3/mol)
= 6.21482 mol AlF3
But;
4.12139 moles of CaCO3 would react completely with 4.12139 x (2/3) = 2.74759 moles of AlF3.
Thus; there is more AlF3 present than that, so AlF3 is in excess, and CaCO3 is the limiting reactant.
Therefore;
Mass of CaF2 will be;
(4.12139 mol CaCO3) x (3/3) x (78.0752 g CaF2/mol) = 321.8 g CaF2
Mass of Al2(CO3)3 on the other hand will be;
(4.12139 mol CaCO3) x (1/3) x (233.9903 g Al2(CO3)3/mol) = 321.5 g Al2(CO3)3
Telephones began as large, clunky devices capable of transmitting and receiving voice messages over short distances, then evolved to lighter, transportable cellular devices capable of enabling communications over large distances. In the United States, Alexander Graham Bell receives credit for producing the first telephone in 1876. Bell established a basic system of communications allowing people to talk with each other remotely over short distances through receivers. <span>As with other technologies, phone technologies improved dramatically and rapidly following Bell's introduction of the telephone to American life. In addition to improvements in the device itself, transmissions methods improved as well. By 1900, telephone companies established communication lines through many American cities, allowing people to connect over larger distances. These lines contained special coils to reduce static and expedite transmissions. Telephone calls remained limited to local regions within the borders of the United States through 1915. Then, Alexander Graham Bell completed the first transcontinental call with Thomas Watson. Rotary phones emerged just before 1920, and a numbering plan arrived in the late 1940s to allow fast and direct connections between callers. In 1956, telephone cables permitted transcontinental calls for the first time. In the 1960s and 1970s, phone use extended to emergency service and the military. Portable phones arrived in the early 1970s; by 2000, thousands of Americans carried lightweight, compact phones wherever they went. AND THEY HAVE IPHONES NOW XDD
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I believe it's (A). It will double.
Explanation:
Charles law states that the volume of an ideal gas is directly proportional to the absolute temperature at constant pressure. (Charles's law).
