Question

What will be the new volume of a 250 mL sample of gas at 300 K and 1 atm if heated to 350 K at 1 atm? Law used:

Answer 1

Answer: The final volume of the system is 291.66 mL.

Step-by-step explanation:

To calculate the final volume of the system, we use the equation given by Charles' Law.

This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1\text{ and }T_1` are the initial volume and temperature of the gas.

`V_2\text{ and }T_2` are the final volume and temperature of the gas.

We are given:

`V_1=250mL\\T_1=300K\\V_2=?mL\\T_2=350K`

Putting values in above equation, we get:

`(250)/(300K)=(V_2)/(350K)\\\\V_2=291.66mL`

Hence, the final volume of the system is 291.66 mL.

Answer 2

Using Charles's law; which states that the volume of an ideal gas is directly proportional to the absolute temperature at constant pressure.
That is; V α T
Hence; V1/T1 = V2/T2 = constant
V2 = V1 × (T2/T1)
= 250 × (350/300) = 291.67 mL
Therefore; the new volume will be 291.67 mL