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At a depth of X metres,the temperature of the water is an ocean is T°C. At depths below 900 meters, T is inversely proportional to X. T is given by T=4500/X. Work out the difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 3750 metres.

Respuesta :

MarkV
Hi there! The answer is 2.55°C

To find our answer we must plug in the values of X into the formula.
Depth = 1200 metres --> x = 1200 --> T = 4500 / 1200 = 3.75°C
Depth = 3750 metres --> x = 3750 --> T = 4500 / 3750 = 1.2 °C

The difference of the temperatures is 3.75°C - 1.2°C = 2.55°C

The difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 3750 metres is [tex]\rm 2.55^\circ C[/tex] .

Given :

  • At a depth of X metres, the temperature of the water in an ocean is [tex]\rm T^\circ C[/tex].
  • At depths below 900 meters, T is inversely proportional to X.
  • [tex]\rm T = \dfrac{4500}{X}[/tex]   ---- (1)

Solution :

Let [tex]\rm T_1[/tex] be the temperature of the water at a depth of 1200 metres and [tex]\rm T_2[/tex] be the temperature of the water at a depth of 3750 metres.

To find the unknown temperature [tex]\rm T_1[/tex] of the water at a depth of 1200 meters we have to use equation (1).

[tex]\rm T_1 = \dfrac{4500}{1200}[/tex]

[tex]\rm T_1 = 3.75^\circ C[/tex]

Now, to find the unknown temperature [tex]\rm T_2[/tex] of the water at a depth of 3750 meters we have to again use equation (1).

[tex]\rm T_2 = \dfrac{4500}{3750}[/tex]

[tex]\rm T_2 = 1.2^\circ C[/tex]

Now, the Temperature Differerence = [tex]\rm T_2-T_1[/tex] = 3.75 - 1.2 = [tex]\rm 2.55^\circ C[/tex].

Therefore, the temperature difference of the water at a depth of 1200 metres and the water at a depth of 3750 metres is [tex]\rm 2.55^\circ C[/tex] .

For more information, refer the link given below

https://brainly.com/question/3606487

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