It says solve by factoring.
2 answers:
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The first question asks to find a change in temperature. To find this, we subtract the first temperature from the last. The final temperature here is 35.65 C, while the initial is 24.85 C. Finding the change, we end up with
To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have
as the heat absorbed by the water.
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or
as the heat absorbed by the calorimeter.
Feel free to ask further questions!
To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or
Feel free to ask further questions!
Let the first integer be . So, the next even number is
Let's translate the formula: the square of the second is , twice the first is
. So, the equation is
Expand the square to get
The solutions to this equations are
So, the possible consecutive even numbers are