Heat Transfer Calculus: Gas State Change Formula and Q Value Calculation

chawki
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Homework Statement


The heat transfer into and from a gas, in one change in the condition of state is described with
following formula: see attachments.



Homework Equations


Calculate the value of the heat content Q, when the values are V1=0,1 and V2=0,3. Give the
answer in whole number.

The Attempt at a Solution


I found Q=26853.55.
 

Attachments

  • Calculus.JPEG
    Calculus.JPEG
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Please say if it's true taking into account units.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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