15.9 KJ/mol Explanation: Given data: Temperature = T1 = 307 K, Temperature = T2 = 343 K, Gas constant R = 8.314 J/(mol • K), rate constant = k2/K1 = 89. To determine: Activation energy (in kJ/mol) = Ea =? Formula: The Arrhenius equation establishes the relationship between temperature and reaction rates. Here, in this equation, k = the rate constant, Ea = the activation energy, R = the Universal Gas Constant, T = the temperature. Solution: ln 89 = Ea / 8.314 J/mol.K * (0.0325 - 0.00291). then ln 89 = Ea / 8.314 J/mol.K * (2.95 x 10^2). Resulting in 4.488 = Ea / 8.314 J/mol.K * (2.95 x 10^2). Therefore, Ea = 4.488 * (2.95 x 10^2) / 8.314 J/mol.K which simplifies to Ea = 0.1324 / 8.314. Thus, Ea = 0.0159 and finally, Ea = 1.59 x 10^2 J/mol or 15.9 KJ/mol.
Answer:
1984
Explanation:
Utilizing the equation;
0.693/t1/2 = 2.303/t log (Ao/A)
Where;
t1/2 = half-life of the radioactive isotope
t= age of the wine
Ao= initial activity of the wine
A= activity at time = t
Substituting values, we have 0.693/12.3 = 2.303/t log (5.5/0.688)
0.693/12.3 = 2.079/t
0.056 = 2.079/t
t= 2.079/0.056
t= 37 years
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Answer:
A total of 2667 tires are required to satisfy the annual power needs of ten homes.
Explanation:
According to the Second Law of Thermodynamics, not all energy produced when tires are incinerated can be effectively used due to losses associated with finite temperature differences. The energy obtainable from a tire when burned, measured in kilowatt-hours (
), can be calculated using the efficiency definition:

Where:
- Efficiency, which is dimensionless.
- Energy released from burning, measured in kilowatt-hours.
Taking into account
and
, the yearly energy yield from a tire amounts to:


Thus, the number of tires necessary to meet the electricity demand of ten homes for one year is:


A total of 2667 tires are necessary to satisfy the annual power needs of ten homes.
Answer:
A pressure of 137.14 MPa exists 10,000 m beneath the ocean surface.
At this same depth, the density measures 2039 kg/m3.
Explanation:
P0 and ρ0 symbolize the pressure and density at sea level (indicative of atmospheric conditions). With an increase in ocean depth, both pressure and density likewise rise.
The relationship between pressure and density can be expressed as:

By rearranging

This equation allows for computation of P at 10,000 m beneath the ocean's surface:

The density found at a depth of 10,000 m in the ocean is
