Posted by **mike** on Wednesday, May 4, 2011 at 9:30pm.

If 1200 cal of heat are added to 50 g of water initially at a temperature of 15 oC, what is the final temperature of the water?

- physics -
**Jai**, Wednesday, May 4, 2011 at 10:00pm
the energy needed to increase or decrease the temperature of a given substance is given by

Q = mc(T2-T1)

where

Q = heat (in J or cal)

m = mass (in g)

c = specific heat capacity (in J/g*K or cal/g*K)

T = temperature (in Kelvin)

**change in temperature can have unit degree Celsius or Kelvin,, thus you can use it interchangeably (what i mean is that the units for c can also be J/(g*C))

signs:

Q: (+) when heat is absorbed by substance

Q: (-) when heat is released from substance

for water, c = 1 cal/g*K.

substituting,

1200 = (50)(1)(T2 - 15)

1200 = 50*(T2) - 750

1950 = 50*(T2)

T2 = 39 deg C

hope this helps~ :)

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