An unknown volume of water at 18.2°C is added to 24.4 mL

Chapter 5, Problem 29P

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

An unknown volume of water at \(18.2^{\circ} \mathrm{C}\) is added to 24.4 mL of water at \(35.0^{\circ} \mathrm{C}\). If the final temperature is \(23.5^{\circ} \mathrm{C}\), what was the unknown volume? (Assume that no heat is lost to the surroundings; \(d\) of water = 1.00 g/mL.)

Questions & Answers

QUESTION:

An unknown volume of water at \(18.2^{\circ} \mathrm{C}\) is added to 24.4 mL of water at \(35.0^{\circ} \mathrm{C}\). If the final temperature is \(23.5^{\circ} \mathrm{C}\), what was the unknown volume? (Assume that no heat is lost to the surroundings; \(d\) of water = 1.00 g/mL.)

ANSWER:

Step 1 of 3

Here, we are going to determine the unknown volume of water at \(23.5^{\circ} \mathrm{C}\).

The heat capacity is directly related to the temperature change.

                                                   \(q=c m \Delta T\)

Where \(c\) is the heat capacity, \(q\) is the heat absorbed by the object \(m\) is the mass of the object

\(\Delta T\) is the change in temperature \(=\left(T_{\text {final }}-T_{\text {initial }}\right)\)

Therefore,

                                                    \(q=c m \Delta T\)

                                              \(\Rightarrow\left(T_{\text {final }}-T_{\text {initial }}\right)=\frac{q}{c m} \ldots(1)\)

 

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back