Input interpretation
![convert 1000000000000000000000000000000 atoms of helium (chemical element) to liters](../image_source/de9c93ac1cc3ab9122b18f2c3754f3cc.png)
convert 1000000000000000000000000000000 atoms of helium (chemical element) to liters
Results
![3.724×10^7 L (liters)](../image_source/80b7eed5a0faab4753c73687457b25b2.png)
3.724×10^7 L (liters)
Possible intermediate steps
![Convert from atoms into liters: 1×10^30 atoms of He (helium) Divide by 1 atom/molecule to convert to molecules: (1×10^30 atoms)/1 × (1 molecule)/(1 atom) = 1×10^30 molecules Look up Avogadro's constant, N_A, to find the number of molecules in a mole: N_A = 6.022×10^23 molecules/mol Divide the number of moles by N_A to convert to moles: (1×10^30 molecules)/1 × (1 mol)/(6.022×10^23 molecules) = 1.661×10^6 mol The amount of substance, n, is: n = 1.661×10^6 mol The molar mass of He equals 4.002602 g/mol (grams per mole). The mass, m, in grams equals n multiplied by M: m = n M = (1.661×10^6 mol)/1 × (4.002602 g)/(1 mol) = 6.646477×10^6 g Convert from grams to cubic centimeters using the relation 1 cm^3 (cubic centimeter) = 1 mL (milliliter)[[2]] and the density 1.785×10^-4 g/cm^3 (grams per cubic centimeter) at STP of He: (6.646477×10^6 g)/1 × (1 cm^3)/(1.785×10^-4 g) = 3.724×10^10 cm^3 Convert to milliliters using the relation 1 cm^3 (cubic centimeter) = 1 mL (milliliter): (3.724×10^10 cm^3)/1 × (1 mL)/(1 cm^3) = 3.724×10^10 mL Convert to liters using the relation 1000 mL (milliliters) = 1 L (liter): Answer: | | (3.724×10^10 mL)/1 × (1 L)/(1000 mL) = 3.724×10^7 L](../image_source/4bc4695b93a891187981e2abb21e8d56.png)
Convert from atoms into liters: 1×10^30 atoms of He (helium) Divide by 1 atom/molecule to convert to molecules: (1×10^30 atoms)/1 × (1 molecule)/(1 atom) = 1×10^30 molecules Look up Avogadro's constant, N_A, to find the number of molecules in a mole: N_A = 6.022×10^23 molecules/mol Divide the number of moles by N_A to convert to moles: (1×10^30 molecules)/1 × (1 mol)/(6.022×10^23 molecules) = 1.661×10^6 mol The amount of substance, n, is: n = 1.661×10^6 mol The molar mass of He equals 4.002602 g/mol (grams per mole). The mass, m, in grams equals n multiplied by M: m = n M = (1.661×10^6 mol)/1 × (4.002602 g)/(1 mol) = 6.646477×10^6 g Convert from grams to cubic centimeters using the relation 1 cm^3 (cubic centimeter) = 1 mL (milliliter)[[2]] and the density 1.785×10^-4 g/cm^3 (grams per cubic centimeter) at STP of He: (6.646477×10^6 g)/1 × (1 cm^3)/(1.785×10^-4 g) = 3.724×10^10 cm^3 Convert to milliliters using the relation 1 cm^3 (cubic centimeter) = 1 mL (milliliter): (3.724×10^10 cm^3)/1 × (1 mL)/(1 cm^3) = 3.724×10^10 mL Convert to liters using the relation 1000 mL (milliliters) = 1 L (liter): Answer: | | (3.724×10^10 mL)/1 × (1 L)/(1000 mL) = 3.724×10^7 L
Unit conversions
![37240 m^3 (cubic meters)](../image_source/b4500232bc33d16650c9febfdc81dec9.png)
37240 m^3 (cubic meters)
![9.836×10^6 gallons](../image_source/0c72de907f2b117fecb6255dc264e1a1.png)
9.836×10^6 gallons
![1.315×10^6 ft^3 (cubic feet)](../image_source/071dc1112e93957a88b1f098424f63f2.png)
1.315×10^6 ft^3 (cubic feet)
Comparisons as volume
![≈ ( 0.1 ≈ 1/9 ) × volume of oil that can be carried by a Very Large Crude Carrier supertanker ( ≈ 2 MMbbl )](../image_source/137c805d24f7e9d183a5573cc3ed70ee.png)
≈ ( 0.1 ≈ 1/9 ) × volume of oil that can be carried by a Very Large Crude Carrier supertanker ( ≈ 2 MMbbl )
![≈ ( 0.2 ≈ 1/5 ) × volume of the Hindenburg Zeppelin ( ≈ 200000 m^3 )](../image_source/187e2257b5d2fcaa26b6650fa8e696b5.png)
≈ ( 0.2 ≈ 1/5 ) × volume of the Hindenburg Zeppelin ( ≈ 200000 m^3 )
![≈ 0.63 × volume of steel used in the construction of the Three Gorges Dam ( ≈ 58900 m^3 )](../image_source/ae5e1fb2eb099926c6beca0ba98bf09b.png)
≈ 0.63 × volume of steel used in the construction of the Three Gorges Dam ( ≈ 58900 m^3 )
Interpretations
![volume](../image_source/16c3f020315bd1d213c95e1fe0549e4b.png)
volume
![section modulus](../image_source/be58dcd97c1bb0fd13b2299cb3a05421.png)
section modulus
Basic unit dimensions
![[length]^3](../image_source/b676a084adf842a81bc28fecb92c5196.png)
[length]^3
Corresponding quantities
![Radius r of a sphere from V = 4πr^3/3: | 21 meters | 68 feet](../image_source/73b6c4dbfecb4608b406ad1a564cdb50.png)
Radius r of a sphere from V = 4πr^3/3: | 21 meters | 68 feet
![Edge length a of a cube from V = a^3: | 33 meters | 110 feet](../image_source/2f92aa4bd38fcf5d84a9490a0a7a95dd.png)
Edge length a of a cube from V = a^3: | 33 meters | 110 feet