Question

Determine which law is appropriate for solving the following problem. Carbon dioxide is in a steel tank at 20°C, 10 liters and 1 atm. What is the pressure on the gas when the tank is heated to 100°C? Law used:

Answer 1

Answer : The final pressure will be, 1.27 atm

Explanation :

Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.

`P\propto T`

or,

`(P_1)/(T_1)=(P_2)/(T_2)`

where,

`P_1` = initial pressure of gas = 1 atm

`P_2` = final pressure of gas = ?

`T_1` = initial temperature of gas =
`20^oC=273+20=293K`

`T_2` = final temperature of gas =
`100^oC=273+100=373K`

Now put all the given values in the above equation, we get:

`(1atm)/(293K)=(P_2)/(373K)`

`P_2=1.27atm`

Thus, the final pressure will be, 1.27 atm

Answer 2

Law used: Combined Gas Law

Step-by-step explanation:

We are given the following problem:

Carbon dioxide is in a steel tank at 20°C, 10 liters and 1 atm. What is the pressure on the gas when the tank is heated to 100°C?

To solve this, the most appropriate law that can be used it Combined Gas Law, which is the result of combining the Boyle's law, Charles' law, and Gay-Lussac's law together.