Question

Complete the first row of the table.Express the volume in liters to three significant figures.

Answer 1

`V_2\text{ = 149 L}`

Step-by-step explanation:

Here, we want to get the missing volume

From Charles' law, we know that volume and temperature are directly proportional at constant pressure

Mathematically, we know that:

`(V_1)/(T_1)=(V_2)/(T_2)_{}`

We have to rewrite the formula in terms of the missing value as follows:

`V_2\text{ = }(V_1T_2)/(T_1)`

Before we proceed to input the values, we have to convert the temperatures in celsius to kelvin by adding 273.15 K to the celsius temperature

Thus, we have it that:

`\begin{gathered} V_1\text{ = 112L} \\ V_2\text{ = ?} \\ T_1\text{ = 10.2 + 273.15 = 283.35 K} \\ T_2\text{ = 106.1 + 273.15 = 379.25 K} \end{gathered}`

We can now proceed to substitute these values into the rewritten formula as follows:

`V_2\text{ = }(112*379.25)/(283.35)\text{ = 149 L}`