High School

When 100 g of liquid A at 100 degrees Celsius is added to 50 g of liquid B at 275 degrees Celsius, what is the final temperature?

A. 60 degrees Celsius
B. 80 degrees Celsius
C. 70 degrees Celsius
D. 85 degrees Celsius

Answer :

The physics problem asks for the final equilibrium temperature of two mixed liquids. By applying heat transfer equations and conservation of energy principles, we determine the final temperature to be 70 degrees Celsius. So the correct option is C.

The student is asking about the final equilibrium temperature when two liquids at different temperatures are mixed. This is a physics problem related to the concept of heat transfer and thermodynamics, specifically the conservation of energy in heat exchange.

To solve this, we need to use the formula for heat transfer [tex]Q =mc{\delta}T[/tex], where Q is the heat energy transferred, m is the mass, c is the specific heat capacity, and [tex]\delta}T[/tex] is the change in temperature.

Assuming the liquids have the same specific heat capacity as water, which is approximately 4.18 J/g°C, we can set the heat lost by liquid A equal to the heat gained by liquid [tex]B: mAc{\delta}TA = mBc{\delta}TB[/tex].

By substituting and solving for the final temperature, we find that the correct option is 70 degrees Celsius. So the correct option is C.