Question

What will be the volume of a gas in liters of a sample at 375 K if a sample at 298 K is 2.7 L? Roundyour answer to 1 digit after the decimal point. Include proper units (abbreviated).

Answer 1

3.4 L

Step-by-step explanation

Given:

Initial temperature T₁ = 375 K

Final volume of the gas, V₂ = 2.7 L

Final temperature, T₂ = 298 K

What to find:

The volume of the gas in liters at 375 K

Step-by-step solution:

The volume of the gas in liters at 375 K can be calculated using Charle's law formula.

`\begin{gathered} (V_1)/(T_1)=(V_2)/(T_2) \\ \\ \Rightarrow V_1=(T_1V_2)/(T_2) \end{gathered}`

Putting the values of the parameters into the formula, we have;

`V_1=\frac{375\text{ }K*2.7\text{ }L}{298\text{ }K}=3.4\text{ }L`

The volume of the gas in liters at 375 K is 3.4 L