A 76 pound flask of mercury cost $164.50. The Density of Mercury is 13.534 g/cm^

Question

A 76 pound flask of mercury cost $164.50. The Density of Mercury is 13.534 g/cm^3.

a) find the price of one cubic inch of mercury by calculating the following intermediate values.

1- What is the price of one pound of Mercury?

2- What is the price of one gram of Mercury?

3- What is the price of one cubic centimeter of Mercury?

4- What is the price of one cubic inch of Mercury

b) It take 2.700 cubic inches of mercury to make one manometer. Find the price of the mercury used to make 21 manometers by first calculating the cost of mercury for one manometer.

1- What is the price of mercury used to make one manometer?

2- What is the price of mercury used to make 21 manometers?

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The wavelength of the blue light is 470.0 nm. What is the frequency of blue light?

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The series in the He spectrum that corresponds to the set of transitions where the electron falls from a higher level to the nf = 4 state is called the Pickering series, an important series in solar astronomy. Calculate the Pickering series wavelength associated with the excited state ni = 7.

Explanation / Answer

a

1) $129.00 / 76.00lbHg = $1.697 / 1lb.

2) $1.698 / 1lb x [ 1lb / 453.6g ] = $0.03743 / 1g
3) $0.03743 / g x [13.534g / 1cm3] = $0.5066 / 1cm3
4 $0.5066 / 1cm3 x [ 16.39 cm3 / 1in3 ] = $8.303 / 1in3

b

2.700in3 / manometer x [$8.303 / in3 ] = $22.41 / manometer
21 manometers x [ $22.41 / manometer ] = $470.61

c

c = v*L

Where c is the speed of light (a constant), v is the frequency, and L (really should be a lowercase lambda) is the de broglie wavelength.

So, the frequency would be v = c/L = 638.29 *10^9 hz

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