Question

A gas has a temperature of 14 °C, and a volume of 4.5 L. If the temperature is raised to 29 °C and the pressure is not changed, what is the new volume of the gas? A. 4.7 L B. 4.9 L C. 5.3 L D. 5.5 L

Answer 1

Charles law gives the relationship between temperature and volume

it states that at constant pressure, volume is directly proportional to temperature

V/T = k

where V - volume T - temperature in kelvin and k - constant

`(V1)/(T1) = (V2)/(T2)`

where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation

T1 - 14 °C + 273 = 287 K

T2 - 29 °C + 273 = 302 K

substituting the values in the equation

`(4.5L)/(287K) = (V)/(302 K)`

V = 4.7 L

answer is A. 4.7 L