I need help with this Chemistry problem, how do I do this?

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1 Answer
Mar 8, 2018

See below

Explanation:

662C is pretty hot, but I'm going to assume the water didn't sizzle (vaporize) when the metal was placed into the water - this would mess up the calculations a bit.

Metal cools - and loses a bunch of heat.
#Q = cmΔT# This the basic energy change equation that uses specific heat
#Q = 0.897J/"gC"xx3.0gxx(90.3-662)# = -1583.4 J

This 1583.4 J came out of the metal (that is why it is negative)

This 1583.4 J will go into the water to heat it up (positive)
#Q = cmΔT#
we'll solve for m...mass c for water is 4.184 J/gC
#m = Q/"cΔT"#
#m = "1583.4J"/"4.184J/gC"(90.3-15)"#
m = 5.03 grams water

volume = 5.03g(1mL/g) = 5.03 mL water