A 2.00-kg block of copper at 22.0°C is dropped into a large vessel of liquid nitrogen at 77.3 K. How many kilograms of nitrogen boil away by the time the copper reaches 77.3 K? (The specific heat of copper is 0.092 0 cal/g °C, and the latent heat of vaporization of nitrogen is 48.0 cal/g.) kg

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Chapter20: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 20.10OQ: A 100-g piece of copper, initially at 95.0C, is dropped into 200 g of water contained in a 280-g...
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A 2.00-kg block of copper at 22.0°C is dropped into a large vessel of liquid nitrogen at 77.3 K. How many kilograms of nitrogen
boil away by the time the copper reaches 77.3 K? (The specific heat of copper is 0.092 0 cal/g °C, and the latent heat of
vaporization of nitrogen is 48.0 cal/g.)
kg
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Transcribed Image Text:A 2.00-kg block of copper at 22.0°C is dropped into a large vessel of liquid nitrogen at 77.3 K. How many kilograms of nitrogen boil away by the time the copper reaches 77.3 K? (The specific heat of copper is 0.092 0 cal/g °C, and the latent heat of vaporization of nitrogen is 48.0 cal/g.) kg Need Help? Read It Watch It
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Step 1

When a hot body is connected to a cold body then there occurs a transfer of heat between the two objects until here occurs a thermal equilibrium. The total heat amount gained by the cold body, as per the calorimetry principle, is equal to the heat amount lost by the hot body.

Now the formula to calculate the amount of heat lost by the copper is given by

Qlost=mct

where m is the copper block's mass, c is the specific heat and t is the temperature change.

The initial temperature of the block is

Ti=22.0C

Final temperature of the block is

Tf=77.3-273.15C    =-195.85C

As it can be seen that Ti>Tf thus the temperature of the block drops.

Now the formula to calculate the change in temperature is given by

T=Ti-Tf

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