Question

A gas in a container is at a pressure of 12pa, a volume of 23cm³ and a temperature of 200k . the pressure is measured to 300k. what is the new volume of the gas?​

a) 34.5 cm³
b) 46.0 cm³
c) 51.3 cm³
d) 62.1 cm³

Answer 1

To find the new volume of a gas when its temperature changes, use Charles's Law, V1/T1 = V2/T2. The initial values are V1 = 23 cm³ and T1 = 200K, and the final temperature T2 = 300K. Solving for V2, the new volume is 34.5 cm³.

Step-by-step explanation:

To determine the new volume of the gas when the temperature increases, we use Charles's Law which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when the pressure is held constant. Charles's Law is expressed as V1/T1 = V2/T2, with V1 and V2 being the initial and final volumes, and T1 and T2 being the initial and final temperatures respectively.

In this case, the initial volume V1 is 23 cm³, the initial temperature T1 is 200K, and the final temperature T2 is 300K. We need to solve for the new volume V2. By rearranging the equation and plugging in the values we get V2 = (V1 × T2) / T1 = (23 cm³ × 300K) / 200K which equals 34.5 cm³.