Steam is passed into 22 gm of water at 20 degree C . The mass of water...
Solution:
Given, Mass of water = 22 gm
Initial temperature of water = 20°C
Final temperature of water = 90°C
Latent heat of steam = 540 cal/gm
To solve this problem, we need to apply the principle of calorimetry which states that the heat gained by one body is equal to the heat lost by the other body.
Let's assume that the mass of steam required to raise the temperature of water from 20°C to 90°C is m gm.
Heat gained by steam = Heat lost by water
m * 540 cal/gm = 22 gm * specific heat of water * (90°C - 20°C)
We know that the specific heat of water is 1 cal/gm°C.
m * 540 = 22 * 1 * 70
m = (22 * 70)/540 = 2.85 gm
Therefore, the mass of water present after steam condenses at 90°C is:
Mass of water = Initial mass of water + Mass of steam condensed
Mass of water = 22 gm + 2.85 gm = 24.85 gm
Hence, the answer is option (a) 24.83 gm.
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Solution:
Given,
Mass of water = 22 gm
Initial temperature of water = 20°C
Final temperature of water = 90°C
Latent heat of steam = 540 cal/gm
To solve this problem, we need to apply the principle of calorimetry which states that the heat gained by one body is equal to the heat lost by the other body.
Let's assume that the mass of steam required to raise the temperature of water from 20°C to 90°C is m gm.
Heat gained by steam = Heat lost by water
m * 540 cal/gm = 22 gm * specific heat of water * (90°C - 20°C)
We know that the specific heat of water is 1 cal/gm°C.
m * 540 = 22 * 1 * 70
m = (22 * 70)/540 = 2.85 gm
Therefore, the mass of water present after steam condenses at 90°C is:
Mass of water = Initial mass of water + Mass of steam condensed
Mass of water = 22 gm + 2.85 gm = 24.85 gm
Hence, the answer is option (a) 24.83 gm.