Calories Required to Raise the Temp of Aluminum

[Drakkith]

Homework Statement

How many calories are required to raise the temperature of 26 grams of aluminum from 20°C to 115°C?

Homework Equations

Specific heat of aluminum is 0.22 cal / g x °C

Amount of heat = SH x mass x (T2-T1)

The Attempt at a Solution

Plugging numbers into the 2nd equation gives me:

cal = 0.22 x 26 x 95
cal = 543.4

So I get 543.4 calories as the answer, or 5.4 x 10² calories. However, my workbook only has the following as possible answers:

5.4 x 10⁺¹
5.4 x 10^-1
5.4 x 10⁺³
5.4 x 10^-3

Have I missed something here, or is my workbook wrong?

 

[berkeman]

I'm no expert in this, but your numbers look okay to me.

 

[Mark44]

I agree with your answer, Drakkith. It seems to me that your workbook has a typo, unless you copied some of the information incorrectly.

 

[Drakkith]

I agree with your answer, Drakkith. It seems to me that your workbook has a typo, unless you copied some of the information incorrectly.

Nope, that's exactly what it says.
Thanks guys.

 

[HalfLostAndSearching]

Your calculation is correct. It is possible that the answers in your workbook are rounded to the nearest significant figure, so the answer of 543.4 calories would be rounded to 5.4 x 10+2 calories. It is also possible that there is an error in the workbook. I suggest double-checking your calculation and if it is correct, you can assume that the answer in your workbook is also correct.