Complete Question
The complete question is shown on the first uploaded image
Answer:
The workdone is ![W = -177.275J](https://tex.z-dn.net/?f=W%20%3D%20-177.275J)
Explanation:
From the question we are told that
The initial Volume is ![Vi = 0.160 L](https://tex.z-dn.net/?f=Vi%20%3D%200.160%20L)
The final volume is ![V_f = 0.510L](https://tex.z-dn.net/?f=V_f%20%3D%200.510L)
The external pressure is
Generally the change in volume is
![\Delta V = V_f - V_i](https://tex.z-dn.net/?f=%5CDelta%20V%20%3D%20V_f%20-%20V_i)
Substituting values we have
![\Delta V = 0.510 -0.160](https://tex.z-dn.net/?f=%5CDelta%20V%20%3D%200.510%20-0.160)
![= 0.350L](https://tex.z-dn.net/?f=%3D%200.350L)
Generally workdone is mathematically represented as
![W = -P \Delta V](https://tex.z-dn.net/?f=W%20%3D%20-P%20%5CDelta%20V)
W is negative because the working is done on the environment by the system which is indicated by volume increase
Substituting values
![W = - 5* 0.350](https://tex.z-dn.net/?f=W%20%3D%20-%205%2A%200.350)
![= -1.75 \ L \ \cdot atm](https://tex.z-dn.net/?f=%3D%20-1.75%20%5C%20L%20%5C%20%5Ccdot%20atm)
Now ![1 \ L \cdot atm = 101.3J](https://tex.z-dn.net/?f=1%20%5C%20%20L%20%5Ccdot%20atm%20%3D%20101.3J)
Therefore ![W = -1.75* 101.3](https://tex.z-dn.net/?f=W%20%3D%20-1.75%2A%20101.3)
![= -177.275J](https://tex.z-dn.net/?f=%3D%20-177.275J)
Explanation:
It is given that,
Uncertainty in the speed of an electron, ![\Delta v=3.5\times 10^3\ m/s](https://tex.z-dn.net/?f=%5CDelta%20v%3D3.5%5Ctimes%2010%5E3%5C%20m%2Fs)
According to Heisenberg uncertainty principle,
![\Delta x.\Delta p=\dfrac{h}{4\pi}](https://tex.z-dn.net/?f=%5CDelta%20x.%5CDelta%20p%3D%5Cdfrac%7Bh%7D%7B4%5Cpi%7D)
is the uncertainty in the position of an electron
Since, ![\Delta p=m\Delta v](https://tex.z-dn.net/?f=%5CDelta%20p%3Dm%5CDelta%20v)
![\Delta x=\dfrac{h}{4\pi.m \Delta v}](https://tex.z-dn.net/?f=%5CDelta%20x%3D%5Cdfrac%7Bh%7D%7B4%5Cpi.m%20%5CDelta%20v%7D)
![\Delta x=\dfrac{6.6\times 10^{-34}}{4\pi\times 9.1\times 10^{-31}\times 3.5\times 10^3}](https://tex.z-dn.net/?f=%5CDelta%20x%3D%5Cdfrac%7B6.6%5Ctimes%2010%5E%7B-34%7D%7D%7B4%5Cpi%5Ctimes%209.1%5Ctimes%2010%5E%7B-31%7D%5Ctimes%203.5%5Ctimes%2010%5E3%7D)
![\Delta x=1.64\times 10^{-8}\ m](https://tex.z-dn.net/?f=%5CDelta%20x%3D1.64%5Ctimes%2010%5E%7B-8%7D%5C%20m)
So, the uncertainty in its position is
. Hence, this is the required solution.
Answer=8N
Explantion:
20-20=0
22-14=8N