Answer :
A specific heat capacity of 0.52 J/g°C for argon, the temperature of the sample would decrease by approximately 2.00°C during the deposition process.
The heat of deposition is the amount of heat released when a substance changes from a gas to a solid at constant pressure. For argon, the heat of deposition is approximately 1,050 J/g.
First, we need to convert the mass of argon from kg to grams. Since 1 kg is equal to 1000 grams, the 99 kg sample of argon is equal to 99,000 grams.
Next, we can calculate the heat released during deposition using the formula:
Heat released = mass of argon (in grams) x heat of deposition
Heat released = 99,000 g x 1,050 J/g
Heat released = 103,950,000 J
The temperature change during the deposition process can be calculated using the equation:
Heat released = mass of argon x specific heat capacity x change in temperature
Since the specific heat capacity of argon is not given, we cannot determine the exact temperature change without that information.
However, if we assume a specific heat capacity of 0.52 J/g°C for argon, we can estimate the temperature change.
103,950,000 J = 99,000 g x 0.52 J/g°C x change in temperature
Dividing both sides of the equation by (99,000 g x 0.52 J/g°C), we get:
change in temperature = 103,950,000 J / (99,000 g x 0.52 J/g°C)
change in temperature ≈ 2.00°C
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