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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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Most popular questions from this chapter

A beaker of radius \(15 \mathrm{~cm}\) is filled with liquid of surface tension \(0.075 \mathrm{~N} / \mathrm{m}\). Force across an imaginary diameter on the surface of liquid is (A) \(0.075 \mathrm{~N}\) (B) \(1.5 \times 10^{-2} \mathrm{~N}\) (C) \(0.225 \mathrm{~N}\) (D) \(2.25 \times 10^{-2} \mathrm{~N}\)

A capillary tube of radius \(\mathrm{R}\) is immersed in water and water rises in it to a height \(\mathrm{H}\). Mass of water in the capillary tube is M. If the radius of the tube is doubled. Mass of water that will rise in the capillary tube will now be (A) \(\mathrm{M}\) (B) \(2 \mathrm{M}\) (C) \((\mathrm{M} / 2)\) (D) \(4 \mathrm{M}\)

A vesel whose bottom has round holes with diameter of \(0.1 \mathrm{~mm}\) is filled with water. The maximum height to which the water can be filled without leakage is (S.T. of water \(=[(75\) dyne $\left.\\} / \mathrm{cm}], \mathrm{g}=1000 \mathrm{~m} / \mathrm{s}^{2}\right)$ (A) \(100 \mathrm{~cm}\) (B) \(75 \mathrm{~cm}\) (C) \(50 \mathrm{~cm}\) (D) \(30 \mathrm{~cm}\)

The surface tension of a liquid is \(5 \mathrm{~N} / \mathrm{m}\). If a thin film of the area \(0.02 \mathrm{~m}^{2}\) is formed on a loop, then its surface energy will be (A) \(5 \times 10^{-2} \mathrm{~J}\) (B) \(2.5 \times 10^{-2} \mathrm{~J}\) (C) \(2 \times 10^{-1} \mathrm{~J}\) (D) \(5 \times 10^{-1} \mathrm{~J}\)

Read the assertion and reason carefully and mark the correct option given below. (a) If both assertion and reason are true and the reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not the correct explanation of the assertion. (c) If assertion is true but reason is false. (d) If the assertion and reason both are false. Assertion: Tiny drops of liquid resist deforming forces better than bigger drops. Reason: Excess pressure inside a drop is directly proportional to surface tension. (A) a (B) \(b\) (C) (D) d
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