Transcribed TextTranscribed Text

How much liquid nitrogen (at its boiling point of - -196°C) is needed to make 225 mL of ice cream? We are going to assume that this is a premium ice cream with a density of 0.850 g/mL. We will start with a liquid mixture of cream, sugar, etc. that has a freezing point of -3.5°C. Our ice cream mixture is initially in a steel bowl that has a mass of 0.400 kg. The bowl and mixture are at 1.0°C, initially. To be able to be served as ice cream, the mixture must be cooled to - -12.0°C. (Possibly useful information: specific heat of liquid ice cream mixture, 3.50 X J/(kg-°C); specific heat of frozen ice cream, 1.75 X 10³ J/(kg-°C); specific heat of steel: 502 J/(kg-°C); latent heat of fusion of steel, 2.90 X 105 J/kg; latent heat of fusion of ice cream mixture, 2.10 X 105 J/kg; latent heat of fusion of nitrogen, 2.55 X 104 J/kg; latent heat of vaporization of nitrogen, 2.01 X 105 J/kg) What mass (in kg) of liquid nitrogen at - -196°C will be needed to turn our 1.0°C liquid ice cream mixture in a 0.400 kg steel bowl (also at 1.0°C into 225 mL of ice cream at - -12.0°C? The bowl and ice cream stay in thermal contact throughout the problem. Assume no other heat is added or escapes to the environment.

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:

    for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available General Physics Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Upload a file
    Continue without uploading

    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats