The x coordinate of an electron is measured with an uncertainty of 0.200 mm . What is vx, the x component of the electron's velo
1 answer:
Answer:
The electron's velocity in the x direction is measured at 57.9 m/s
Explanation:
The uncertainty in the x position of the electron is Δx = 0.200 mm = 0.2 x 10⁻³ m
Let vₓ denote the x component of the electron's velocity.
The momentum's uncertainty in the x component is given by:
Δpₓ = mΔvₓ
where m represents the electron's mass.
The uncertainty in the velocity's x component is set at 1%, or 0.01.
Thus, we can rewrite the previous equation as:
Δpₓ = 0.01mvₓ....(1)
The fundamental principle of uncertainty is:
....(2)
Using equations (1) and (2),
Substituting 0.2 x 10⁻³ m for Δx, 9.1 x 10⁻³¹ kg for m, and 6.626 x 10⁻³⁴ m²kg/s into the formula yields:
vₓ = 57.9 m/s
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Response:
(a)
(b)
Clarification:
Greetings.
(a) In this case, since the starting volume is 18.5 dm³ and the ending volume is 21 dm³ (18.5 +2.5), we can calculate the work at constant pressure as shown below:
This value is negative as it expands against the given pressure.
(b) Furthermore, if the process is conducted reversibly, the pressure might change, hence, we need to calculate the work using:
The moles are calculated based on the provided mass of argon:
Consequently, the work amounts to:
Best regards.