Question

A sample of Carbon dioxide in a pump has a volume of 21.5 mL and it is at 2 points
50.0 °C. When the amount of gas and pressure remain constant, find the
new volume of Carbon dioxide in the pump if the temperature is increased
to 75.0 °C.​

Answer 1

Answer:

Created in the early 17th century, the gas laws have been around to assist scientists in finding volumes, amount, pressures and temperature when coming to matters of gas. The gas laws consist of three primary laws: Charles' Law, Boyle's Law and Avogadro's Law (all of which will later combine into the General Gas Equation and Ideal Gas Law).

Introduction

The three fundamental gas laws discover the relationship of pressure, temperature, volume and amount of gas. Boyle's Law tells us that the volume of gas increases

Answer 2

The new volume of Carbon-di-oxide in the pump if the temperature is increased to 75.0°C is 23.2ml.

Given:

Volume of CO₂ (V₁) = 21.5ml

T₁ = 50°C = 50 +273.15 K = 323.15 K

T₂ = 75°C = 75 + 273.15 K = 348.15 K

To Find:

The new volume V₂ if the temperature is increased to 75°C with the pressure of the gas remained as constant.

Solution:

According to Charles Law, for a fixed amount of gas at constant pressure, the volume occupied by the gas is directly proportional to absolute temperature K.

That is,

V α T

V = kT

This could also be written as,

V₁/V₂ = T₁/T₂

V₂ = V₁(T₂/T₁)

V₂ = 348.15(21.5/323.15)

V₂ = 7485.225/323.15

V₂ = 23.16ml

Therefore, the new occupied volume of CO₂ if the temperature is increased to 75°C is 23.16ml.

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