Answer:
0.911 atm
Explanation:
In this problem, there is no change in volume of the gas, since the container is sealed.
Therefore, we can apply Gay-Lussac's law, which states that:
"For a fixed mass of an ideal gas kept at constant volume, the pressure of the gas is proportional to its absolute temperature"
Mathematically:
![p\propto T](https://tex.z-dn.net/?f=p%5Cpropto%20T)
where
p is the gas pressure
T is the absolute temperature
For a gas undergoing a transformation, the law can be rewritten as:
![\frac{p_1}{T_1}=\frac{p_2}{T_2}](https://tex.z-dn.net/?f=%5Cfrac%7Bp_1%7D%7BT_1%7D%3D%5Cfrac%7Bp_2%7D%7BT_2%7D)
where in this problem:
is the initial pressure of the gas
is the initial absolute temperature of the gas
is the final temperature of the gas
Solving for p2, we find the final pressure of the gas:
![p_2=\frac{p_1 T_2}{T_1}=\frac{(0.981)(314)}{338}=0.911 atm](https://tex.z-dn.net/?f=p_2%3D%5Cfrac%7Bp_1%20T_2%7D%7BT_1%7D%3D%5Cfrac%7B%280.981%29%28314%29%7D%7B338%7D%3D0.911%20atm)
Answer:
![Energy, \; E = 2.6504 * 10^{-34} \; Joules](https://tex.z-dn.net/?f=%20Energy%2C%20%5C%3B%20E%20%3D%202.6504%20%2A%2010%5E%7B-34%7D%20%5C%3B%20Joules%20)
Explanation:
Given the following data;
Frequency = 4.0 x 10⁹ Hz
Planck's constant, h = 6.626 x 10-34 J·s.
To find the energy of the electromagnetic wave;
Mathematically, the energy of an electromagnetic wave is given by the formula;
E = hf
Where;
E is the energy possessed by a wave.
h represents Planck's constant.
f is the frequency of a wave.
Substituting the values into the formula, we have;
![Energy, \; E = 4.0 x 10^{9} * 6.626 x 10^{-34}](https://tex.z-dn.net/?f=%20Energy%2C%20%5C%3B%20E%20%3D%204.0%20x%2010%5E%7B9%7D%20%2A%206.626%20x%2010%5E%7B-34%7D%20)
![Energy, \; E = 2.6504 * 10^{-34} \; Joules](https://tex.z-dn.net/?f=%20Energy%2C%20%5C%3B%20E%20%3D%202.6504%20%2A%2010%5E%7B-34%7D%20%5C%3B%20Joules%20)
Answer:
d = 68.5 x 10⁻⁶ m = 68.5 μm
Explanation:
The complete question is as follows:
An optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector that is 1.70m from the slits. If the slits are illuminated with coherent light of wavelength 633 nm, how far apart should the slits be?
The answer can be given by using the formula derived from Young's Double Slit Experiment:
![y = \frac{\lambda L}{d}\\\\d =\frac{\lambda L}{y}\\\\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%5Clambda%20L%7D%7Bd%7D%5C%5C%5C%5Cd%20%20%3D%5Cfrac%7B%5Clambda%20L%7D%7By%7D%5C%5C%5C%5C)
where,
d = slit separation = ?
λ = wavelength = 633 nm = 6.33 x 10⁻⁷ m
L = distance from screen (detector) = 1.7 m
y = distance between bright fringes = 15.7 mm = 0.0157 m
Therefore,
![d = \frac{(6.33\ x\ 10^{-7}\ m)(1.7\ m)}{0.0157\ m}\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B%286.33%5C%20x%5C%2010%5E%7B-7%7D%5C%20m%29%281.7%5C%20m%29%7D%7B0.0157%5C%20m%7D%5C%5C%5C%5C)
<u>d = 68.5 x 10⁻⁶ m = 68.5 μm</u>
Answer: 6m
Explanation: 6 is more than 3 and their both being measured by m
Nulceus - recipe book/instruction manual
Mitochondria - Battery
Endoplasmic reticulum - Printer or a pen?
Golgi aparatus - an envelope
Chloroplasts - green rechargable battery
Cell membrane (elastic band (2 to represent the phospholipid bilayer)
Ribosomes - I guess maybe an ink pot as its the material thats used to write
Cell Wall - the paper bag
lysosomes - washing up liquid (breaks down wate food on a dirty plate)
vaculoes - bottle of water