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Chapter 7: Problem 1057

Maximum density of \(\mathrm{H}_{2} \mathrm{O}\) is at the temperature. (A) \(32^{\circ} \mathrm{F}\) (B) \(39.2^{\circ} \mathrm{F}\) (C) \(42^{\circ} \mathrm{F}\) (D) \(4^{\circ} \mathrm{F}\)

Short Answer

Expert verified
The correct answer is (B) \(39.2^{\circ} \mathrm{F}\), as it is closest to the maximum density of water at 4°C.

Step by step solution

01

Recall basic fact about water's density

Water achieves its maximum density at 4°C. As the temperature increases or decreases from this point, water's density decreases. Now, we need to convert the given options from Fahrenheit to Celsius and identify the closest one to 4°C.
02

Convert the given options to Celsius

To convert Fahrenheit to Celsius, we need to use the formula: Celsius = (Fahrenheit - 32) × 5/9. Now let's convert the given options. (A) \(32^{\circ} F\) C = (32 - 32) × 5/9 C = 0°C (B) \(39.2^{\circ} F\) C = (39.2 - 32) × 5/9 C = 7.2 × 5/9 C ≈ 4°C (C) \(42^{\circ} F\) C = (42 - 32) × 5/9 C = 10 × 5/9 C ≈ 5.56°C (D) \(4^{\circ} F\) C = (4 - 32) × 5/9 C = -28 × 5/9 C ≈ -15.56°C
03

Identify the correct option

As we can see from the conversions above, option (B) 39.2°F is the closest to 4°C, which is the temperature at which water's density is maximum. So, the correct answer is: (B) \(39.2^{\circ} \mathrm{F}\)

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