Question

In: Physics

What is the temperature on the winter day? On a warm summer day (33 ∘C), it...

What is the temperature on the winter day?

On a warm summer day (33 ∘C), it takes 4.70 s for an echo to return from a cliff across a lake. On a winter day, it takes 5.10 s . The speed of sound in air is v≈(331+0.60T)m/s, where T is the temperature in ∘C.

Solutions

Expert Solution

Concepts and reason

The concept used to solve this problem is the change in velocity of sound with the change in temperature.

Use the temperature of a warm summer day to find the distance.

Use the relation of speed of sound and the temperature to find the value of temperature.

Fundamentals

The given expression for the velocity of sound and the temperature is as follows:

Here, is the velocity of sound and is the temperature of the surrounding.

The expression for speed, distance, and time is as follows:

Here, is the distance, speed of sound is , and is the times.

For summer,

The given expression for the velocity of sound and the temperature is as follows:

Substitute for .

The expression for speed, distance, and time is as follows:

Substitute for and for .

For winter,

The expression for speed, distance, and time is as follows:

Substitute for, for , and for .

Rearrange for .

Ans:

The winter temperature is .

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

On a warm summer day (33 ∘C), it takes 4.90 s for an echo to return...
On a warm summer day (33 ∘C), it takes 4.90 s for an echo to return from a cliff across a lake. On a winter day, it takes 5.30 s . The speed of sound in air is v≈(331+0.60T)m/s, where T is the temperature in ∘C. Part A What is the temperature on the winter day? Express your answer to two significant figures and include the appropriate units. Tw Tw = ∘C SubmitPrevious AnswersRequest Answer
The temperature on a winter day is 23℉. (a) What is this temperature in ℃? (b)...
The temperature on a winter day is 23℉. (a) What is this temperature in ℃? (b) In K? In general, materials will expand with increasing temperature. What is an important everyday exception to this rule? Does it really help to run hot water over a tight metal lid on a glass jar before trying to open it? Explain. A steel rod has a length of 2.5 m. It is then heated by 44C°. What is its new length? A rectangular...
On a particular summer day, the temperature is 30 degrees Celsius and the relative humidity is...
On a particular summer day, the temperature is 30 degrees Celsius and the relative humidity is 80% (which means that the partial pressure of water vapor in the ambient air is 80% of the equilibrium vapor pressure of water). A sample of this air is placed in a 1 Liter flask which is then closed and cooled to 5 degrees Celsius. What is the mass in grams of water that still exists as vapor in the flask? How much liquid...
A. On a day with a temperature of 15 ∘C and a pressure of 785.0 torr...
A. On a day with a temperature of 15 ∘C and a pressure of 785.0 torr , how many grams of peroxyacyl nitrates are found in the air above Los Angeles (1500. km3) if the concentration is 30.0 ppb by moles? The molar mass of the major peroxyacyl nitrate, peroxyacetyl nitrate, is 118.03 g/mol. Express your answer to three significant figures and include the appropriate units. B. Peroxyacyl nitrates contain two relatively weak bonds that can be broken by low-energy...
On a day with a temperature of 15 ∘C and a pressure of 792.0 torr ,...
On a day with a temperature of 15 ∘C and a pressure of 792.0 torr , how many grams of peroxyacyl nitrates are found in the air above Los Angeles (1500. km3) if the concentration is 30.0 ppb by moles? The molar mass of the major peroxyacyl nitrate, peroxyacetyl nitrate, is 118.03 g/mol.
A 56 g ice cube at -57°C is placed in a lake whose temperature is 33°C....
A 56 g ice cube at -57°C is placed in a lake whose temperature is 33°C. Calculate the change in entropy of the cube-lake system as the ice cube comes to thermal equilibrium with the lake. The specific heat of ice is 2220 J/kg·K. (Hint: Will the ice cube affect the temperature of the lake?)
2. On a winter day, suppose your breath has T = 30°C with Td = 28°C,...
2. On a winter day, suppose your breath has T = 30°C with Td = 28°C, and it mixes with the ambient air of temperature T = –10°C and Td = –11°C. Will you see your breath? Assume you are at sea level, and that your breath and the environment mix in proportions of (breath : environment): a. 1:9 b. 2:8 c. 3:7 d. 4:6
What is the effect of cold, warm, and room temperature earthworm ringer on the smooth muscle...
What is the effect of cold, warm, and room temperature earthworm ringer on the smooth muscle of an earthworm? What is the effect of KCI on the smooth muscle contraction? What is the effect of pilocarpine on a smooth muscle earthworm contraction?
On a hot summer day, the density of air at atmospheric pressure at 32.0°C is 1.1346...
On a hot summer day, the density of air at atmospheric pressure at 32.0°C is 1.1346 kg/m3. (a) What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? mol (b) Avogadro's number of air molecules has a mass of 2.88 ✕ 10−2 kg. What is the mass of 1.00 m3 of air? (Assume air is an ideal gas.) kg (c) Does the value calculated in part (b) agree with the stated...
Part A A balloon is floating around outside your window. The temperature outside is 33 ∘C...
Part A A balloon is floating around outside your window. The temperature outside is 33 ∘C , and the air pressure is 0.800 atm . Your neighbor, who released the balloon, tells you that he filled it with 3.90 moles of gas. What is the volume of gas inside this balloon? Express your answer to three significant figures and include the appropriate units. Part B A 20.0 L gas cylinder is filled with 6.60 moles of gas. The tank is...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT