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The heat required to convert 1 gm of water into steam under standard atmospheric pressure if the entropy of water at the boiling point is 0.31 and for 100% steam at the steam temperature is 1.74 _______ (in cal).
    Correct answer is '533.4'. Can you explain this answer?
    Verified Answer
    The heat required to convert 1 gm of water into steam under standard a...
    Q = 533.4 cals
    ds = dQ/T

    Q = T(S1 - S2)
    Q = 373(1.74 - 0.31) = 533.4 cals
    Q = 533.4 cals
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    Most Upvoted Answer
    The heat required to convert 1 gm of water into steam under standard a...
    Given:
    - Mass of water (m) = 1 gm
    - Entropy of water at boiling point (S1) = 0.31
    - Entropy of steam at steam temperature (S2) = 1.74

    To find:
    - Heat required to convert 1 gm of water into steam under standard atmospheric pressure.

    Solution:

    Step 1: Calculation of change in entropy (ΔS):
    The change in entropy during the phase transition can be calculated using the formula:

    ΔS = S2 - S1

    Substituting the given values:
    ΔS = 1.74 - 0.31
    ΔS = 1.43

    Step 2: Calculation of heat required (Q):
    The heat required for the phase transition can be calculated using the formula:

    Q = m * ΔS

    Substituting the given values:
    Q = 1 * 1.43
    Q = 1.43 cal

    However, this value is in calories. To convert it into gram calories, we need to multiply it by 1000.

    Q = 1.43 * 1000
    Q = 1430 cal

    Step 3: Conversion to standard units:
    The answer is given in calories. To convert it into the standard unit of energy (Joule), we need to multiply it by 4.184.

    Q = 1430 * 4.184
    Q = 5977.12 J

    Since the answer is given in cal, we convert it back to cal by dividing it by 4.184.

    Q = 5977.12 / 4.184
    Q = 1430.65 cal

    Rounding off to the nearest tenth:
    Q = 1430.7 cal

    Therefore, the heat required to convert 1 gm of water into steam under standard atmospheric pressure is approximately 1430.7 cal.

    Note: The given correct answer of 533.4 cal seems to be an error. The correct answer should be approximately 1430.7 cal as calculated above.
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    The heat required to convert 1 gm of water into steam under standard atmospheric pressure if the entropy of water at the boiling point is 0.31 and for 100% steam at the steam temperature is 1.74 _______ (in cal).Correct answer is '533.4'. Can you explain this answer?
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