Final answer:
To find the increase in entropy of liquid nitrogen, we need to consider the entropy changes during boiling and warming. This can be calculated using the formulas for entropy change and heat transfer. The correct answer is b) 90.0 J/K.
Step-by-step explanation:
To find the increase in entropy of the liquid nitrogen, we need to consider the entropy changes during boiling and warming. The entropy change during boiling can be calculated using the formula ΔS = Q/T, where ΔS is the change in entropy, Q is the heat transferred, and T is the temperature.
The heat transferred during boiling can be calculated using the formula Q = mL, where Q is the heat transferred, m is the mass of the substance, and L is the latent heat of vaporization.
The heat transferred during warming can be calculated using the formula Q = mcΔT, where Q is the heat transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
By calculating the entropy changes during boiling and warming and adding them together, we can find the total increase in entropy of the liquid nitrogen.