A Sample of Gas: Temperature Calculation Using Charles' Law

Charles' Law is an important principle in the study of gases, which states that the volume of a gas is directly proportional to its temperature in Kelvin when pressure remains constant. In this scenario, we have a sample of gas with an initial volume of 45ml, a pressure of 750 mmHg, and a temperature of 50°C. After changes are made to the system, the new volume becomes 65ml at a pressure of 785 mmHg. The question is, what is the new temperature of the gas?

Calculating the New Temperature

To calculate the new temperature using Charles' Law, we can use the formula:

V₂ = V₁ / T₁ × T₂

where V₂ is the final volume, V₁ is the initial volume, T₁ is the initial temperature, and T₂ is the new temperature.

Substituting the given values into the equation, we get:

65 = 45 / 50 × T₂

T₂ = 50/45 × 65

T₂ = 72 °C

Understanding Charles' Law

Charles' Law emphasizes the relationship between the volume and temperature of a gas under constant pressure conditions. As the temperature increases, the volume of the gas also increases proportionally. This law is crucial in analyzing the behavior of gases and predicting their properties.

What is the new temperature of the gas sample after the changes made to the system?

The new temperature of the gas sample with an initial temperature of 50°C is 72°C.