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April 3, 2021 at 8:03 am #373204Nzeribe NymphaParticipant
1) A gas thermometer measures temperature by measuring the pressure of a gas inside the fixed volume container. A thermometer reads a pressure of 248 torr at 0.0°C. What is the temperature when the thermometer reads a pressure of 345 torr?
2) Calculate the final pressure inside a scuba tank after it cools from 1000°C to 25°C. The initial pressure in the tank is 130.0 atm.
3) Use GayLussac’s law to explain what is wrong with the following statement: “I brought a fully inflated beach ball outside to play volleyball in the snow with my friends, but it exploded before we could start.”
4) The gas pressure in an aerosol can is 151.6 kPa at 25.0°C, what would the pressure be inside the can at 300.0°C?
April 3, 2021 at 9:29 am #373230Godwin EmmanuelKeymasterHere is the solution
1) A gas thermometer measures temperature by measuring the pressure of a gas inside the fixed volume container. A thermometer reads a pressure of 248 torr at 0.0°C. What is the temperature when the thermometer reads a pressure of 345 torr?
Answer
P1 = 248Kpa
T1 = 00c = 0 + 273 = 273 K
P2 = 345kpa
T2 =?
P1/T1 = P2/T2
248/273= 345/T2
T2= (273*345)/248
T2 = 379.8K2. Calculate the final pressure inside a scuba tank after it cools from 1000°C to 25°C. The initial pressure in the tank is 130.0 atm.
Answer
Kelvin temperature should be used in solving gas laws.
Kelvin = degree celsius + 273.15
Kelvin = 25.0°C + 273.15 = 298.15 K
Convert 1000 °C to Kelvin
Kelvin = 1000 °C + 273.15 = 1273.15 KGiven Data:
P1 (initial pressure) = 130.0 atm
T1 (initial temperature) = 1000 °C or 1273.15 K
P2 (final pressure) = unknown?
T2 (final temperature) = 25.0°C or 298.15 K
This problem can be solve using GayLussac’s Law with the formula
P1/T1 =P1/T2 And to solve for P2, we can use P2 = (P1* T2)/T1
P2 =( 130.0 atm × 298.15 K)/(1273.15 K ) (cancel the unit kelvin)
P2 = ( 38759.5 atm)/(1273.15 K)
P2 = 30.44 atm3) Use GayLussac’s law to explain what is wrong with the following statement: “I brought a fully inflated beach ball outside to play volleyball in the snow with my friends, but it exploded before we could start.”
Answer
This statement is incorrect because according to GayLussac’s law, when You decrease the temperature of a set amount of gas in a container of a fixed volume, the pressure will decrease. The beach ball is at room temperature, therefore when it goes out into the snow, the temperature of the beach ball and the air inside it will decrease.4) The gas pressure in an aerosol can is 151.6 kPa at 25.0°C, what would the pressure be inside the can at 300.0°C?
Answer
P1/T1 =P1/T2 ( T must be in K)
25.0°C = 298K
300.0°C = 573K
151.6/298=P_2/573
P2 = (151.6 * 573)/298
P2 = 391.5kPa 
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