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Vladimir79 [104]
2 years ago
9

Jane and Jack have a bicycling competition Jane rides a constant speed of 12 miles per hour while Jack rides at a constant speed

of 330 feet per minute. How fast are Jane and Jack going in meters per second? Who finishes first? Show your factor-label method work. There are 5280 feet in one mile. There are 3.281 feet in one meter
Chemistry
1 answer:
MariettaO [177]2 years ago
4 0

Answer:

Explanation:

I don't know how you want the conversion done. I use dimensional analysis.

Jane

12 miles / hour [1.6 km/1 mile][1000 m/1 km][1 hour / 3600 sec]

12 * [1.6 * 3600 / 1000  m/s] = 69.12 m/s

5.33 m/s      This answer is a bit shorter than using 5280 feet.

Using 5280 feet

12 miles / hour [5280 ft/1 mile] [1 m/3.281 feet] * [1 hr/3600 sec]

12 * 5280 / (3.281 * 3600)

12 *. 4470

5.36

Jack

330 feet / minute [ 1 meter / 3.281 feet] [1 minute / 60 seconds]

330 * 1/(3.281 * 60)

330 * 1/(196.86)

1.676 m/s

She's going faster than he is, no matter which method is used to do the calculation

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<em>c</em> = 1.14 mol/L; <em>b</em> = 1.03 mol/kg

<em>Molar concentration </em>

Assume you have 1 L solution.

Mass of solution = 1000 mL solution × (1.19 g solution/1 mL solution)

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Mass of NaHCO3 = 1190 g solution × (7.06 g NaHCO3/100 g solution)

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Moles NaHCO3 = 84.01 g NaHCO3 × (1 mol NaHCO3/74.01 g NaHCO3)

= 1.14 mol NaHCO3

<em>c</em> = 1.14 mol/1 L = 1.14 mol/L

<em>Molal concentration</em>

Mass of water = 1190 g – 84.01 g = 1106 g = 1.106 kg

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3 years ago
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What is the independent variable of the penny lab
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If the detector is capturing 3.3×108 photons per second at this wavelength, what is the total energy of the photons detected in
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Answer:

The total energy of the photons detected in one hour is 7.04*10⁻¹¹ J

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The energy carried by electromagnetic radiation is displaced by waves. This energy is not continuous, but is transmitted grouped into small "quanta" of energy called photons. The energy (E) carried by electromagnetic radiation can be measured in Joules (J). Frequency (ν or f) is the number of times a wave oscillates in one second and is measured in cycles / second or hertz (Hz). The frequency is directly proportional to the energy carried by a radiation, according to the equation: E = h.f, (where h is the Planck constant = 6.63 · 10⁻³⁴ J / s).

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. it is expressed in units of length (m). In light and other electromagnetic waves that propagate at the speed of light (c), the frequency would be equal to the speed of light (≈ 3 × 10⁸ m / s) between the wavelength :

f=\frac{speed of light}{wavelength}

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E=\frac{h*speed of light}{wavelength}

In this case, the wavelength is 3.35mm=3.35*10⁻³m and the energy per photon is:

E=\frac{6.63*10^{-34}*3*10^{8}}{3.35*10^{-3} }

E=5.93*10⁻²³ \frac{J}{proton}

The detector is capturing  3.3*10⁸ photons per second. So, in 1 hour:

E=5.93*10^{-23} \frac{J}{proton} *3.3*10^{8} \frac{proton}{s} *\frac{60}{1} \frac{s}{minute} *\frac{60}{1} \frac{minute}{hr}

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C.  physical

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A mixture is a physical combination. Mixtures are combinations of compounds and molecules without any chemical reaction taking place.

Mixtures have the following properties:

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