Chapter 3: Q44E (page 576)

An ice-cube tray of negligible mass contains $0.290 k g$ of water at $18 . 0^{0} C$ . How much heat must be removed to cool the water to $0 . 00^{0}$ and freeze it? Express your answer in joules, calories, and Btu.

Short Answer

Expert verified

The heat released will be $- 1.43 \times 10^{5} J = - 3.42 \times 10^{4} cal = 135.5 B t u$ .

Step by step solution

Stages in the process

There will be two stages in the given process, the first stage includes a decrease in the temperature of the water from $18 ° C to 0 ° C$ without any change in the phase, the second stage is the change in the phase from liquid (water) to solid (ice). Hence, the amount of heat that must be removed to cool the water $0 ° C$ to and freeze it can be

$Q_{removed} = {mc}_{water} ΔT - {mL}_{f}$

Here, the negative sign implies the removal of heat energy.

Use the equation to find the heat removed

$\begin{array}{r} Q_{Temoned} = [0.35 \times 4190 \times (0 - 18)] - (0.35 \times 33.4 \times 10^{4}) \\ Q_{renoved} = - 1.43 \times 10^{5} J \end{array}$

The values in calories and Btu will be

\begin{aligned} Q_{renюегed} = - 1.43 \times 10^{5} J \times \frac{1 cal}{4.186 J} = 3.42 \times 10^{4} cal \\ Q_{remored} = - 1.43 \times 10^{5} J \times \frac{1 B t u}{1055 J} = - 135.5 Btu \end{aligned}

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An ice-cube tray of negligible mass contains $0.290 k g$ of water at $18 . 0^{0} C$ . How much heat must be removed to cool the water to $0 . 00^{0}$ and freeze it? Express your answer in joules, calories, and Btu.

Short Answer

Step by step solution

Stages in the process

Use the equation to find the heat removed

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An ice-cube tray of negligible mass contains0.290kgof water at18.00C. How much heat must be removed to cool the water to0.000and freeze it? Express your answer in joules, calories, and Btu.

Short Answer

Step by step solution

Stages in the process

Use the equation to find the heat removed

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Engineering Physics

Dynamics

Modern Physics

Force

Turning Points in Physics

Oscillations

Study anywhere. Anytime. Across all devices.

An ice-cube tray of negligible mass contains $0.290 k g$ of water at $18 . 0^{0} C$ . How much heat must be removed to cool the water to $0 . 00^{0}$ and freeze it? Express your answer in joules, calories, and Btu.