How much heat is needed to raise the temperature of 25 g of a substance by 15°C when the specific heat is .92 J/g-°C?

1 Answer
Meave60
Mar 18, 2018

It will require #"350 J"# of heat energy to raise the temperature of the substance under the given conditions.

Explanation:

Use the following equation:

#q=cmDeltat,#

where:

#q# is heat energy, #c# is specific heat, #m# is mass, and #Deltat# is the change in temperature. #Deltat=T_"final"-T_"initial"#

Organize the data:

Known

#c=("0.92 J")/("g"*""^@"C")#

#m="25 g"#

#Deltat="15"^@"C"#

Unknown

#q#

Solution

Plug in the known values and solve for #q#.

#q=("0.92 J")/(color(red)cancel(color(black)("g"))*""^@color(red)cancel(color(black)("C")))xx25color(red)cancel(color(black)("g"))xx"15"^@color(red)cancel(color(black)("C"))="350 J"# (rounded to two significant figures)

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