January 15, 2025, 05:47:49 PM
Forum Rules: Read This Before Posting


Topic: Mass of Antifreeze  (Read 3996 times)

0 Members and 1 Guest are viewing this topic.

Offline Sis290025

  • Full Member
  • ****
  • Posts: 206
  • Mole Snacks: +13/-17
  • Gender: Female
  • Thou shall not fall.
Mass of Antifreeze
« on: May 11, 2009, 12:26:11 PM »
Please tell me if my calculations are correct and if I expressed the answer with the correct number of significant figures.

What will be the mass of antifreeze in tons added to a car when the radiator is filled with antifreeze (d = 1.12 g/mL) if the radiator has a capacity of 6.84 gallons?

m/V = 1.12 g/mL

m = d*V

V = 6.84 gal*(3.7854 L /1 gal)*(1000 mL/1L) = 25892.136 mL

m_antifreeze = (1.12 g/mL)* (25892.136 mL)*(1 kg / 1000 g)*(1 ton / 1000 kg) = 2.90*10^-2 tons of antifreeze

Offline sjb

  • Global Moderator
  • Sr. Member
  • ***
  • Posts: 3653
  • Mole Snacks: +222/-42
  • Gender: Male
Re: Mass of Antifreeze
« Reply #1 on: May 11, 2009, 01:01:06 PM »
Please tell me if my calculations are correct and if I expressed the answer with the correct number of significant figures.

What will be the mass of antifreeze in tons added to a car when the radiator is filled with antifreeze (d = 1.12 g/mL) if the radiator has a capacity of 6.84 gallons?

m/V = 1.12 g/mL

m = d*V

V = 6.84 gal*(3.7854 L /1 gal)*(1000 mL/1L) = 25892.136 mL

m_antifreeze = (1.12 g/mL)* (25892.136 mL)*(1 kg / 1000 g)*(1 ton / 1000 kg) = 2.90*10^-2 tons of antifreeze

I disagree, personally, if only to be pedantic and say that for me a gallon is not 3.7854 litres. See e.g. http://en.wikipedia.org/w/index.php?title=Gallon&oldid=280878132 for various definitions.

Offline Sis290025

  • Full Member
  • ****
  • Posts: 206
  • Mole Snacks: +13/-17
  • Gender: Female
  • Thou shall not fall.
Re: Mass of Antifreeze
« Reply #2 on: May 12, 2009, 07:31:37 PM »
Thank you very much for your input.

Offline sjb

  • Global Moderator
  • Sr. Member
  • ***
  • Posts: 3653
  • Mole Snacks: +222/-42
  • Gender: Male
Re: Mass of Antifreeze
« Reply #3 on: May 13, 2009, 02:25:14 AM »
That said, if you've used an appropriate gallon, then the maths looks right.

Sponsored Links