You have two equivalent pots a and b with one liter and three liters of water respectively. both pots begin at 25 c then the same amount of heat is added to each pot. the three liter pot's final temperature is 35
c. what is the final temperature of the one liter pot?

55 C

Explanation:

When a certain substance is heated, the temperature of the substance increases according to the equation

where

Q is the heat supplied to the substance

m is the mass of the substance

C is the specific heat of the substance

is the change in temperature of the substance

The equation can be rewritten as

In this problem, the two pots both contain water, so the specific heat (C) is the same. Also, the same amount of heat is supplied, so Q is the same.

However, pot A contains 1 liter of water, while pot B containes 3 liters: this means that the mass of water in pot B is 3 times the mass of water in pot A,

Since is inversely proportional to the mass, this means that

The change in temperature of the water in pot B is

So, the change in temperature of the water in pot A is

So, the final temperature of pot A is

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