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The intensity of sunlight under the clear sky is 836 W/m2. The speed of light is 2.99792 × 108 m/s. How much electromagnetic energy is contained per cubic meter near the Earth’s surface?
According to your question you need a kind of energy density in $"Joules"/m^3$. Observing the units of your data you have: Power divided by area or $"Watts"/m^2="Joule"/(s*m^2)$ By dividing it...
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What is space made of? If there is an estimated one atom per cubic meter of space, what else is filling up space?
This can be a difficult concept for some, but most of space contains no matter whatsoever–it's just emptiness. Dark Matter, a little understood thing that seems to have gravity but...
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If a chemical reaction occurs at the rate of 2.25 x 10^-2 moles per liter per second, what is the rate in moles per liter per minute?
The product moles per liter created in sixty seconds are sixty times the moles per liter created in just one second, provided the rate is constant. That is because there...
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The most abundant element in seawater is chlorine. Seawater contains 19,000 mg of chlorine per liter. How do you calculate this as kilograms per cubic meter?
Step 1. Convert milligrams to kilograms. $"19 000" color(red)(cancel(color(black)("mg"))) × (1 color(red)(cancel(color(black)("g"))))/(1000 color(red)(cancel(color(black)("mg")))) × "1 kg"/(1000 color(red)(cancel(color(black)("g")))) = "0.019 kg"$ Step 2. Convert litres to cubic metres. $1 color(red)(cancel(color(black)("L")))...
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How many helium atoms are there in a helium blimp containing 535 kg of helium?
We work out (i) the molar quantity of helium gas.... $"Moles of helium"=(535*kgxx10^3*g*kg^-1)/(4.0*g*mol^-1)=133750*mol.$ And then (ii) we mulitply this molar quantity by Avogadro's number....$N_A=6.022xx10^23*mol^-1$ to get the number of helium...
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The density of gold is 19.5 g/cm. What is this value in kilograms per cubic meter?
$rho=19.5*g*cm^3=(19.5*10^-3*kg)/(10^-2m)^3$ $(19.5xx10^-3*kg)/(10^-6m^3)$ $(19.5xx10^-3*kgxx10^6)m^-3$ because $(1/x^-1=1/(1/x)=x)$ $=19.5xx10^3*kg*m^-3$ The price of gold is currently $$1232-10*USD*"troy ounce"^-1$. Given that a $"troy ounce"$ $-=$ $31.1*g$, how much is your nugget worth?
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Amaterial weighs 8 grams and takes up 2 cubic centimeters of space. What is the material's density in grams per cubic centimeter ($g/(cm^3)$)?
$"Density"$ $=$ $"mass"/"volume"$ $=$ $(8*g)/(2*cm^3)$ $=$ $4*g*cm^-3$ When we put the units into these sorts of calculations, it is an extra check on our accuracy. We try to calculate a...
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A weather balloon is inflated to a volume of $2.2 x 10^3$ L with 37.4 g of He. What is the density of He in g/L?
Here, $rho=(37.4*g)/(2.2xx10^3*L)$ $=$ $??g*L^-1$. Doing the calculation like this gives an answer in $g*L^-1$ as required for a .
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Radio waves that vibrate 160,000,000 times per second are used on some train lines for communications. If radio waves that vibrate half as many times per second were used instead, how would the wavelength change?
Frequency is the number of complete cycles per second. So $160000000$ vibrations per second is equivalent to a frequency of $f=160MHz$. So half this frequency would be $80MHz$. Since radio...
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How many helium atoms are in a helium blimp containing 494 kg of helium?
Step 1: calculate how the number of moles using the molar mass. The molar mass of helium = $4.00$ g/mol. This means that 1 mole of helium atoms weighs...
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