chemistry

how do i convert these
0.25g = how many cgs
400 cm^3 = how many Ls
and 400 cm^3 = how many m^3s?

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asked by JOSE
  1. 1g = 100 cg --> 0.25g x 100cg/g = 25 cg

    1mL = 1 cm^3, 1L = 1000mL, you figure the rest out.

    1 m = 100 cm, 1 m^2 = (100 cm)^2 = 10,000 cm^2, you figure the rest out.

    Good luck!

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  2. i have no idea what to do for the last 2 and what you did

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    posted by JOSE
  3. Use conversion factors.
    10 dimes = $1.00
    How many dimes in $10.00?
    # dimes = $10.00 x (10 dimes/$1.00) = 100.
    Note that the unit we want to change cancels (the dollar in the numerator--that's the $10.00 in the numerator and the $1.00 in the denominator. The unit cancels, not the quantity. Then the unit we want to change TO is kept--it doesn't cancel.). It always works that way. Now to the g to cg problem you have.
    1 g = 100 cg so we can get two conversion factors out of that. One is
    1g/100 cg. The other one is
    100 cg/1g. Now all we need to do is to figure which conversion factor to use. Let's try them both and see if we know which to use.
    0.25 g x (1g/100 cg) = ??
    OR
    0.25 g x (100 cg/1 g)= ??
    Look at the units. For the first one we have g*g/cg which is g^2/cg. That can't be right. We wanted cg for units. Try the second one.
    The units for the second one are g*cg/g = ??.The g in the top cancels with g in the bottom and we are left with cg. That's what we wanted. So 0.25 g x (100 cg/g) = 25 cg.

    400 cm^3 = 400 cc (cc is easier to write than cm^3).
    1 cc = mL. 1000 mL = 1 L
    400 cc x (1 mL/1 cc) x (1 L/1000 mL) = ??
    See the first factor converts cc to mL and the second factor converts mL to L. The answer is 0.400 L.

    The last one. 400 cm^3 to m^3
    There are 100 cm in 1 m so the conversion factor is (100 cm/1 m) OR (1 m/100 cm). But note this is cubic meters and cubic centimeters whereas 100 cm/1m is a linear term, not a volume term. But we can fix that.
    400 cm^3 x (1 m/100 cm) x (1 m/100cm) x (1 m/100 cm) = ??
    If we just focus on the units (not worry about the numbers just yet), we have
    cm^3 x (1m/100cm)*(1m/100cm)*(1m/100cm)=
    cm*cm*cm (that's what cm^3 is) (m*m*m/cm*cm*cm) = m*m*m or m^3. So the cm^3 cancels and is replaced with m^3. The numbers are 400*1*1*1/100*100*100 = 4 x 10^-4 m^3 = 0.0004 m^3
    Check my work and my thinking.

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