If a cup of tea at room temperature, 24°C is heated until it has twice the internal energy, unlike a piece of metal, its temperature will be

Question

Quizplus · Accepted Answer

When the internal energy is doubled, the temperature of the cup of tea is increased. This can be calculated using the formula:

ΔU = mCΔT

Where ΔU is the change in internal energy, m is the mass of the tea, C is the specific heat capacity of the tea, and ΔT is the change in temperature.

Since the specific heat capacity of water (and hence, tea) is approximately constant, we can write:

ΔU ∝ ΔT

Therefore, if the internal energy is doubled, the temperature must also double. The initial temperature of the tea is 24°C, so the final temperature will be:

24°C x 2 = 48°C

Therefore, the correct answer is B.

If a Cup of Tea at Room Temperature, 24°C Is