A vertical wire carries a current vertically upward in a region where the magnetic field vector points toward the north. What is
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Complete Question
A galvanic cell based on these half-reactions is set up under standard conditions where each solutions is 1.00 L and each electrode weighs exactly 100.0 g. How much will the Cd electrode weigh when the non-standard potential of the cell is 0.03305 V?
Answer:
The mass is M= 117.37g
Explanation:
The overall reaction is as follows
The reaction is this way because the potential of is higher than the potential of
so the the Fe would be oxidized and
would be reduced
At equilibrium the rate constant of the reaction is
The Voltage of the cell
Substituting the given values into the equation
The voltage of the cell at any point can be calculated using the equation
Where
Substituting for Q
When E = 0.03305 V
Since we are considering the Cd electrode the equation becomes
Substituting values and making [] the subject
Given from the question that the volume is 1 Liter
The number of mole = concentration * volume
= 0.8455 * 1
= 0.8455 moles
At the standard state the concentration of is =1 mole /L
Hence the amount deposited on the Cd electrode would be
= Original amount - The calculated amount
= 1 - 0.8455
= 0.1545 moles
The mass deposited is mathematically represented as
The Molar mass of Cd
Mass
Hence the total mass of the electrode is = standard mass + calculated mass
M= 100+ 17.37
M= 117.37g
Answer:
The slower runner is 1.71 km from the finish line when the fastest runner finishes the race.
Explanation:
Given;
the speed of the slower runner, u₁ = 11.8 km/hr
the speed of the fastest runner, u₂ = 15 km/hr
distance, d = 8 km
The time when the fastest runner finishes the race is given by;
The distance covered by the slower runner at this time is given by;
d₁ = u₁ x 0.533 hr
d₁ = 11.8 km/hr x 0.533 hr
d₁ = 6.29 km
Additional distance (x) the slower runner need to finish is given by;
6.29 km + x = 8km
x = 8 k m - 6.29 km
x = 1.71 km
Therefore, the slower runner is 1.71 km from the finish line when the fastest runner finishes the race.
Answer:
F = 800 [N]
Explanation:
To be able to calculate this problem we must use the principle of momentum before and after the impact of the hammer.
We must summarize that after the impact the hammer does not move, therefore its speed is zero. In this way, we can propose the following equation.
ΣPbefore = ΣPafter
where:
m₁ = mass of the hammer = 0.15 [m/s]
v₁ = velocity of the hammer = 8 [m/s]
F = force [N] (units of Newtons)
t = time = 0.0015 [s]
v₂ = velocity of the hammer after the impact = 0
Note: The force is taken as negative since it is exerted by the nail on the hammer and this force is directed in the opposite direction to the movement of the hammer.