The volume of sample when the gas is heated to 303 K is
\(\boxed{{\text{(2)6}}{\text{.2 L}}}\)
Further explanation:
Charles’s law:
Charles’s work showed that at constant pressure, the volume-temperature relationship for a fixed amount of gas is linear. In other words, Charles’s law can be stated that at constant pressure, the volume occupied by a fixed amount of a gas is directly proportional to its absolute temperature (Kelvin). This relationship is known as Charles’s law.
The mathematical representation of Charles’s law is,
\({\mathbf{V}}\propto{\mathbf{T}}\) [P and n are constant]
Where,
⦁ V is volume occupied by the fixed quantity of gas.
⦁ T is the temperature of a gas.
⦁ P is the pressure of a gas.
⦁ n denotes the number of moles of gas.
The relationship can also be expressed as,
\(\frac{{\text{V}}}{{\text{T}}} = {\text{constant}}\) [P and n are constant]
Or it can also be expressed as follows:
\(\frac{{{{\text{V}}_{\text{1}}}}}{{{{\text{T}}_{\text{1}}}}} = \frac{{{{\text{V}}_{\text{2}}}}}{{{{\text{T}}_{\text{2}}}}}\) …… (1)
Here,
\({{\text{V}}_1}\) is the initial volume of gas.
\({{\text{V}}_2}\) is the final volume of gas.
\({{\text{T}}_1}\) is the initial temperature of the gas.
\({{\text{T}}_2}\) is the final temperature of the gas.
Rearrange equation (1) to calculate \({{\text{V}}_2}\) .
\({{\text{V}}_{\text{2}}} = \frac{{{{\text{V}}_{\text{1}}}{{\text{T}}_{\text{2}}}}}{{{{\text{T}}_{\text{1}}}}}\) …… (2)
The value of \({{\text{V}}_1}\) is 6 L.
The value of \({{\text{T}}_1}\) is 293 K.
The value of \({{\text{T}}_2}\) is 303 K.
Substitute these values in equation (2).
\(\begin{aligned}{{\text{V}}_{\text{2}}}&=\frac{{\left({{\text{6 L}}}\right)\left( {{\text{303 K}}}\right)}}{{\left( {{\text{293 K}}}\right)}}\\&={\text{6}}{\text{.20477 L}}\\&\approx{\mathbf{6}}{\mathbf{.2 L}}\\\end{aligned}\)
So option (2) is the correct answer.
Learn more:
1. Law of conservation of matter states: https://brainly.com/question/2190120
2. Calculation of volume of gas: https://brainly.com/question/3636135
Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Ideal gas equation
Keywords: Charles’s law, volume, temperature, pressure, volume temperature relationship, absolute temperature, constant pressure, relationship, V directly proportional to T, ideal gas, ideal gas equation number of moles, moles, P, n, V, T, volume of gas, 6.2 L, 303 K, 293 K, 6 L.
