Question

A sample of He gas (2.35 mol) occupies 57.9 L at 300.0 K and 1.00 atm. The volume of this sample is __________ L at 423 K and 1.00 atm.

Answer 1

Considering the combined law, the volume of the sample is 81.639 L at 423 K and 1.00 atm.

Charles's law

Charles's law establishes the relationship between the temperature and the volume of a gas when the pressure is constant. This law says that the volume is directly proportional to the temperature of the gas: if the temperature increases, the volume of the gas increases while if the temperature of the gas decreases, the volume decreases.

Mathematically, Charles's law states:

$\frac{V}{T}=k$

Boyle's law

Boyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. That is, if the pressure increases, the volume decreases while if the pressure decreases, the volume increases.

Mathematically, this law is expressed as:

P×V= k

Gay-Lussac's law

Gay-Lussac's law establishes the relationship between the temperature and pressure of a gas when the volume is constant. This law says that the pressure of a gas is directly proportional to its temperature: if the temperature increases, the pressure will increase, while if the temperature decreases, the pressure will decrease.

Mathematically, Gay-Lussac's law states:

$\frac{P}{T}=k$

Combined law equation

Combined law equation is the combination of three gas laws called Boyle's, Charlie's and Gay-Lusac's law:

$\frac{VxP}{T}=k$

Considering an initial state 1 and a final state 2, it is fulfilled:

$\frac{V1xP1}{T1}=\frac{V2xP2}{T2}$

Volume of the sample

In this case, you know:

• V1= 57.9 L
• P1= 1 atm
• T1= 300 K
• V2= ?
• P2= 1 atm
• T2= 423 K

Replacing in combined law equation:

$\frac{57.9 Lx1 atm}{300 K}=\frac{V2x1 atm}{423 K}$

Solving:

$V2= \frac{423 K}{1 atm} \frac{57.9 Lx1 atm}{300 K}$

V2= 81.639 L

Finally, the volume of the sample is 81.639 L at 423 K and 1.00 atm.

Learn more about combined law equation:

brainly.com/question/4147359

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