# Solve this questions in gas laws chemistry

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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 Gay-Lussac’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?

#373230

Here 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?

P1 = 248Kpa
T1 = 00c = 0 + 273 = 273 K
P2 = 345kpa
T2 =?
P1/T1 = P2/T2
248/273= 345/T2
T2= (273*345)/248
T2 = 379.8K

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.

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 K

Given 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 Gay-Lussac’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 atm

3) Use Gay-Lussac’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.”

This statement is incorrect because according to Gay-Lussac’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?