Question

When a gas is heated from 25 °C to 45 °C, its volume reaches 359 cm^3. What was the original volume of this gas, assuming the pressure remains constant?

A. 339 cm^3
B. 359 cm^3
C. 379 cm^3
D. 399 cm^3

Answer 1

The original volume of the gas was approximately 339 cm³, calculated using Charles's Law which states that the volume of a gas is directly proportional to its temperature in Kelvin, assuming constant pressure.

Step-by-step explanation:

When a gas is heated from 25 °C to 45 °C and its volume reaches 359 cm3, we can find the original volume of the gas assuming the pressure remains constant by applying Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its temperature on the Kelvin scale, which means V1/T1 = V2/T2 where V1 and V2 are the volumes at temperatures T1 and T2 respectively.

First, convert the temperatures from Celsius to Kelvin: T1 = 25 °C + 273 = 298 K and T2 = 45 °C + 273 = 318 K. Then, rearrange the equation to solve for V1: V1 = V2 × (T1/T2). Now, plug in the values: V1 = 359 cm3 × (298 K / 318 K). After calculation, the original volume comes out to be approximately 339 cm3, which corresponds to option A.