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A 46g ice cube at its melting point is dropped into an insulated container of li

ID: 1294404 • Letter: A

Question

A 46g ice cube at its melting point is dropped into an insulated container of liquid nitrogen. Assume for simplicity that the specific heat of ice is a constant and is equal to 2100 J/kg?C?.

Part A

How much nitrogen evaporates if it is at its boiling point of 77 K and has a latent heat of vaporization of 200 kJ/kg?

A 46g ice cube at its melting point is dropped into an insulated container of liquid nitrogen. Assume for simplicity that the specific heat of ice is a constant and is equal to 2100 J/kg?C?.

Part A

How much nitrogen evaporates if it is at its boiling point of 77 K and has a latent heat of vaporization of 200 kJ/kg?

Explanation / Answer

Energey required to evoporate the nitrogen is

m_ice c_ice ( 273K - 77 K )= m _N L_v

(0.046 kg ) ( 2100 J /kg )(196 K ) = m_N ( 200000 J /kg )

m_N = 0.094 kg

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