What is the final temperature of 100g of water at -15°C added to a styrofoam cup filled with 220 g of water at 32°C?

Explanation:

First off, let's call the -15 degree water solution1, and the 32 degree water solution2. The formula for this is

where spheat is specific heat of water that I found to be 4182 J/(kgC). This means that we need our masses in kg and they are currently in g.

100 g = .100 kg and

220 g = .220 kg. Now we're ready to plug everything in:

and

and

so

°C

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.