Can anyone help me with the working out and answer to this one?
Acetylene gas is leaking from a cylinder in the immediate vicinity of an insulated conveyor belt which has built up a charge of 30 uC (u= micro). If the conveyor belt has a capacitance of 80pF, is there a danger of the acetylene being ignited? Consider both energy and voltage in your answer please.
To answer this question, we need to compare the energy stored in the charged conveyor belt to the energy required to ignite the acetylene gas. We can use the formula for the energy stored in a capacitor, which is:
E = (1/2) * C * V^2
Where:
E is the energy stored in the capacitor,
C is the capacitance of the capacitor, and
V is the voltage across the capacitor.
First, let's calculate the energy stored in the charged conveyor belt. We are given that the capacitance of the conveyor belt is 80 pF and the belt has a charge of 30 μC.
Converting 80 pF to Farads:
80 pF = 80 * 10^-12 F
Now we can use the equation to find the energy stored in the conveyor belt:
E = (1/2) * (80 * 10^-12 F) * (V^2)
To determine the voltage (V) across the conveyor belt, we need to use the formula
Q = C * V
Where:
Q is the charge on the capacitor (in this case, the charge on the conveyor belt), and
C is the capacitance.
Substituting the given values:
30 μC = (80 * 10^-12 F) * V
Solving for V:
V = (30 μC) / (80 * 10^-12 F)
V = 375 V
Now we can calculate the energy stored in the conveyor belt:
E = (1/2) * (80 * 10^-12 F) * (375 V)^2
Next, we need to determine the energy required to ignite the acetylene gas. This information is not provided in the question, so we cannot calculate it here. However, assuming you have the energy required to ignite acetylene gas, let's call it E_ignition.
If the energy stored in the conveyor belt (E) is greater than the energy required to ignite the acetylene gas (E_ignition), then there is a danger of the acetylene being ignited.
Therefore, to determine if there is a danger, you need to compare the calculated energy stored in the conveyor belt (E) to the energy required to ignite acetylene gas (E_ignition). If E is greater than E_ignition, there is a danger of ignition; otherwise, there is no danger.
Note: The specific value of E_ignition is missing in the question, so you would need to find that information from another source or provide it if available.