Question

Which of the following is true regarding a bucket of boiling water and a cup of boiling water.
I.The temperature of the two is the same.
II.The heat content of the two is the same.
III. The bucket of water contains more heat and is therefore hotter

• A. I only
• B. II only
• C. I and III only
• D. II and III only
• E. I, II and III only

Answer 1

Answer: (A)

I only

The water is boiling In bucket and in cup, we have same liquid in bucket and cup, the water ,since the boiling point of water is ${100}^{o}C$ therefore temperature is same in both .

The heat given $\Delta Q$ to the mass $m$ of substance to raise the temperature by $\Delta \theta$ is

$\Delta Q=mc\Delta \theta$ where $c$ is the specific heat of substance

The mass of water in bucket is larger therefore it has larger heat content by above relation.

now $\Delta \theta =\Delta Q/mc$

The bucket of water contains more heat but on the other hand it also has larger mass ,therefore $\Delta Q/m$ is constant for both and hence both are at same temperature

$\Delta \theta =\Delta Q/mc$

here, $c$ is constant because both pots have same liquid (water) .