Optics: How much light required to heat water?

[Feodalherren]

Homework Statement

How many grams of water could have its temperature raised by 1.13 °C by a mole of photons that have a wavelength of 510 nm?

Homework Equations

E=hf

λf=c

The Attempt at a Solution

(3x10^8) / (510 x 10^-9) = 5.88 x 10^14 Hz

multiply by Planck's constant to get E= 3.8977x10^-19 J/photon.

Now multiply by avogadro's number to get 234719J

234,719J = m (4.18J/g C)(1.13 C)

m = 49693g

supposedly not the correct answer. I don't know the correct answer but the input thing for online homework tells me it wants 3 significant figures in grams and since you can't enter any powers of ten the answer must be less than a kg.
Any ideas?

 

[TSny]

Your work looks correct to me.

It could be that they want you to round to three significant figures without using scientific notation (powers of 10). Zeros on the right end of the number would be assumed non-significant.

 

[Feodalherren]

Hah! You were right. That just doesn't seem like the correct way to do it to me though.

Thank you.

 

[TSny]

Good. I agree with you. Zeros on the right of an integer are generally ambiguous in regard to being significant figures.