Question

A sample of neon initially has a volume of 2.00 L at 16 ∘C. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if pressure and amount of gas do not change?Part A) 6.00 L

Answer 1

To do this problem we will use Charles' law. Charles law states that the volume of a given mass of gas varies directly with the absolute temperature of a gas when pressure is kept constant.

Charles law:

`\begin{gathered} (V_1)/(T_1)=(V_2)/(T_2) \\ V_1:inital\text{ }volume\text{ }(L)=2.00L \\ T_1:initial\text{ }temperature\text{ }(K)=16\degree C \\ V_2:final\text{ }volume\text{ }(L)=6.00L \\ T_2:final\text{ }temperature\text{ }(K)=x \end{gathered}`

By substituting what is given into the formula to determine the unknown we have:

`\begin{gathered} (2.00L)/(16\degree C)=(6.00L)/(x) \\ \\ x=(6.00L*16\degree C)/2.00L \\ x=48\degree C \end{gathered}`

Answer: The final temperature of the gas is 48 degrees celcius.