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
848
102

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 ?

 
Physics news on Phys.org
  • #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.
 
  • Like
Likes Jahnavi

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.

Similar threads

1 kg of ice at -20°C is mixed with 1kg steam at 200°C......
    • Introductory Physics Homework Help
Replies
9
Views
7K
Mixing water with steam, find equilibrim
    • Introductory Physics Homework Help
Replies
14
Views
2K
Heat Transfer. Ice and steam in a container (easy)
    • Introductory Physics Homework Help
Replies
2
Views
3K
Mixing Ice and Water: Final Temp & Composition
    • Introductory Physics Homework Help
Replies
1
Views
1K
Mix steam with colder water, what is final temp?
    • Introductory Physics Homework Help
Replies
2
Views
5K
Calculating Equilibrium Temperature of Ice and Water Mixture
    • Introductory Physics Homework Help
Replies
1
Views
1K
Heat required to heat water and ice
    • Introductory Physics Homework Help
Replies
2
Views
1K
Calculating Energy and Mass in Espresso Machine and Analyzing Cooling of Coffee
    • Introductory Physics Homework Help
Replies
33
Views
7K
Solving 0.02 kg Ice and 0.10 kg Water at 0°C to Melted State
    • Introductory Physics Homework Help
Replies
8
Views
2K
How Much Steam Is Needed to Heat Water in a Calorimeter to 50°C?
    • Introductory Physics Homework Help
Replies
7
Views
13K

Hot Threads

Recent Insights

Back
Top