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

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=(V_1)/(T_1)=(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=(V_1T_2)/(T_1) \\ V_2=(2*283)/(275) \\ V_2=(566)/(275) \\ V_2=2.06L \end{gathered}`

Hence the new volume of the gas is 2.06L