- #1

- 7

- 0

## Homework Statement

The specific heat of a substance varies with temperature according to:

*c*= 0.20 + 0.14

*T*+ 0.023

*T[tex]^{2}[/tex]*,

*T*in deg-C and

*c*in cal/gK. Find the energy required to raise the temperature of 2.0g of this substance from 5.0C to 15C.

## Homework Equations

Q=mc[tex]\Delta[/tex]T

K= C + 273.15

## The Attempt at a Solution

Given:

m= 2.0g

Q=?

Q=mc[tex]\Delta[/tex]T

Q=m[tex]\int[/tex](0.2 + 1.4T + .023T[tex]^{2}[/tex])dt

Convert C to Kelvin:

T1: K = 5.0 + 273.15 = 278.15K

T1: K = 15 + 273.15 = 288.15K

Solve for heat:

Q = [2.0g(0.2 + 1.4(288.15) + 0.23(288.15[tex]^{2}[/tex])] -

[2.0g(0.2 + 1.4(278.15) + 0.23(278.15[tex]^{2}[/tex])]

Q=2792.98

I don't think I did the math correctly can anyone please check it for me and tell me what I did wrong? Thank you in advanced.

-Raihn