How Much Steam Is Needed to Heat Water from 24°C to 90°C?

In summary, to raise the temperature of 100 gm of water from 24°C to 90°C, 12 gm of steam is required, using the equation 550m = 6600. This calculation takes into account the latent heat of vaporisation of steam, which is 540 Cal/g, and the heat released by condensed water as it moves from 100°C to 90°C.
  • #1
Jahnavi
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Homework Statement



The temperature of 100 gm of water is to be raised from 24°C to 90°C by adding steam to it .Calculate the mass of the steam required for this purpose .

Homework Equations



Latent heat of vaporisation of steam = 540 Cal/g

The Attempt at a Solution


[/B]
Let 'm' be the mass of steam added.

Heat released by steam as it condenses into
water = 540m

Heat released by condensed water as it moves
from 100°C to 90°C = mx1x10 = 10m

Total heat released = 540m+10m= 550m

Heat required by 100gm water to raise its temp from
24°C to 90°C = 100x1x66

Equating the two , 550m = 6600

m = 12gm

Is it correct ?

 
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  • #2
Jahnavi said:

Homework Statement



The temperature of 100 gm of water is to be raised from 24°C to 90°C by adding steam to it .Calculate the mass of the steam required for this purpose .

Homework Equations



Latent heat of vaporisation of steam = 540 Cal/g

The Attempt at a Solution


[/B]
Let 'm' be the mass of steam added.

Heat released by steam as it condenses into
water = 540m

Heat released by condensed water as it moves
from 100°C to 90°C = mx1x10 = 10m

Total heat released = 540m+10m= 550m

Heat required by 100gm water to raise its temp from
24°C to 90°C = 100x1x66

Equating the two , 550m = 6600

m = 12gm

Is it correct ?
Looks good.
 
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FAQ: How Much Steam Is Needed to Heat Water from 24°C to 90°C?

What is the process of mixing steam and water?

The process of mixing steam and water is known as condensation. This occurs when steam, which is a gaseous form of water, comes into contact with cooler water and turns back into its liquid state.

What happens when steam and water are mixed?

When steam and water are mixed, the steam loses its heat energy to the cooler water and condenses. This results in a decrease in volume and an increase in temperature of the water.

Can steam and water be mixed in any proportion?

Yes, steam and water can be mixed in any proportion. The resulting mixture will have properties that are a combination of both steam and water, such as a higher temperature and lower density compared to pure water.

What is the purpose of mixing steam and water?

The purpose of mixing steam and water is to transfer heat energy. Steam, which is produced by boiling water, contains a large amount of heat. By mixing it with cooler water, this heat can be transferred and utilized for various applications, such as heating or powering machinery.

Are there any safety precautions when mixing steam and water?

Yes, there are safety precautions that should be taken when mixing steam and water. The high temperature of steam can cause burns, so proper protective gear should be worn when handling it. Additionally, the process of steam condensation can create sudden bursts of hot water, so caution should be taken to avoid any potential hazards.

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