Question

The volume of a gas is 2.0 L when the temperature is 2.0°C. If the temperature is increased to 10.0°C without changing the pressure, what is the new volume?1.94 L0.40 L10.0 L2.06 L

Answer 1

Answer:

2.06L

Explanations:

According to charle's law, the volume of a given mass of gas is directly proportional to its temperature provided that the temperature is constant. Mathematically;

$\begin{gathered} V\alpha T \\ V=kT \\ k=\frac{V_1}{T_1}=\frac{V_2}{T_2} \end{gathered}$

Given the following parameters

Initial volume V1 = 2.0L

Initial temperature T1 = 2.0°C = 2 + 273 = 275K

Final temperature T2 = 10 + 273 = 283K

Required

New/Final volume of the gas V2

Substitute

$\begin{gathered} V_2=\frac{V_1T_2}{T_1} \\ V_2=\frac{2\times283}{275} \\ V_2=\frac{566}{275} \\ V_2=2.06L \end{gathered}$

Hence the new volume of the gas is 2.06L