Question

a sample of neon has a volume of 40.81 m3 at 23.5C. St what temperature, in Kelvins, would the gas occupy 50.00 cubic meter? assume pressure is constant?

Answer 1

Answer:

 363.3 degrees K to the nearest tenth.

Explanation:

Apply Charles' Law which states that the volume of a gas at constant pressure is directly proportional to the Kelvin temperature.

23.5 C = 273 + 23.5 = 296.5 degrees K.

40.81 / 296.5 = 50 / x   where x is the required temperature.

x = 296.5 * 50 / 40.81

=   363.27 degrees.

Answer 2

Answer: The final temperature is 363.27 K.

Explanation:

To calculate the final temperature 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,

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

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:

$V_1=40.81m^3\\T_1=23.5^oC=(23.5+273)K=296.5K\\V_2=50.00m^3\\T_2=?$

Putting values in above equation, we get:

$\frac{40.81m^3}{296.5K}=\frac{50.00m^3}{T_2}\\\\T_2=363.27K$

Hence, the final temperature is 363.27 K.