I have a project about moles..no idea if i did the math right. If someone could let me know if I did it correctly, and if not, tell me what's wrong? Shoutout to m w who answered my other mole question AWESOMELY! Thanks so much for that great answer! I picked you for the best answer on that one and rated it 5 stars but I think it didn't save for some reason...Anyways. Here's the problem.
A mole of Saturn cars (you pick the model) would stretch around the planet Saturn how many times?
i picked the Saturn Sky which is 4092 mm long. The planet Saturn has a circumference of 378 680 km.
So first i did 6.022 x 10^23 x 4092mm = 2.462 x 10^27mm which I then converted to km so it would be compatible with the measurements for the planet. so the exponent changed to 24 but the number was otherwise the same.
Then I took the circumference of Saturn and divided it by the mole of Saturn Sky cars.
378 680 km x 1/2.462 x 10^24 = 1.538 x9 10^29.
So that was my answer to the problem..it would stretch around the planet Saturn 1.538 x9 10^29 times. Is that correct?
A mole of Saturn cars (you pick the model) would stretch around the planet Saturn how many times?
i picked the Saturn Sky which is 4092 mm long. The planet Saturn has a circumference of 378 680 km.
So first i did 6.022 x 10^23 x 4092mm = 2.462 x 10^27mm which I then converted to km so it would be compatible with the measurements for the planet. so the exponent changed to 24 but the number was otherwise the same.
Then I took the circumference of Saturn and divided it by the mole of Saturn Sky cars.
378 680 km x 1/2.462 x 10^24 = 1.538 x9 10^29.
So that was my answer to the problem..it would stretch around the planet Saturn 1.538 x9 10^29 times. Is that correct?
-
You had the right idea Emma, but did one conversion incorrectly. If the Saturn vehicle is 4092 mm long, that converts to 4.092 m and 0.004292-km in length. But let's start back where you did: multiplying the length of 1 car by the number in a mole, then we'll convert it to km.
4092 mm x 6.023 x 10^23 Saturns /mol = 2.46 x 10^27 mm/mol Saturns x 1m / 1000 mm x 1 km / 1000 m = 2.46 x 10^21 Km/ mol Saturns
To find the number of times this length would wrap around Saturn, we should divide the length of the mole of cars by the circumference of Saturn. (Since the mole of Saturn cars is greater than the circumference of the planet, we need to divide the large number by the smaller.)
2.46 x 10^21 km / 378 680 km = 6.50 x 10^15 times - that's 6.50 quadrillion or 6.50 million billion times!
There is an error in your calculation: 378 680-km x (1 / 2.462 x 10^24-km ) = 1.538 x 10^-19. This very small number (0.0000000000000000001538) represents the fraction of the length of the mole of Saturn vehicles needed to wrap Saturn one time!
4092 mm x 6.023 x 10^23 Saturns /mol = 2.46 x 10^27 mm/mol Saturns x 1m / 1000 mm x 1 km / 1000 m = 2.46 x 10^21 Km/ mol Saturns
To find the number of times this length would wrap around Saturn, we should divide the length of the mole of cars by the circumference of Saturn. (Since the mole of Saturn cars is greater than the circumference of the planet, we need to divide the large number by the smaller.)
2.46 x 10^21 km / 378 680 km = 6.50 x 10^15 times - that's 6.50 quadrillion or 6.50 million billion times!
There is an error in your calculation: 378 680-km x (1 / 2.462 x 10^24-km ) = 1.538 x 10^-19. This very small number (0.0000000000000000001538) represents the fraction of the length of the mole of Saturn vehicles needed to wrap Saturn one time!
-
It's incorrect.
Look at your first equation.
Look at your first equation.