Question

Complete the third row of the table.Express your answer in atmospheres using three significant figures.

Answer 1

`P_1\text{ = 0.434 atm}`

Step-by-step explanation:

Here, using the combined gas laws, we want to get the value of the initial pressure

We start by writing the combined gas law formula as follows:

`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`

We have the terms with subscript 1 as initial values while the terms with subscript 2 are final values

Now, let us write out the given values. Kindly understand that the temperature in degrees celsius will be converted to Kelvin by adding 273.15 k to the celsius temperature

We proceed as follows:

`\begin{gathered} P_1\text{ = ?} \\ V_1\text{ = }1.874\text{ L} \\ T_1\text{ = }21.4\text{ + 273.15 = 294.55 K} \\ P_2\text{ = }0.422\text{ atm} \\ V_2\text{ = }2.10\text{ L} \\ T_2\text{ = }47.7\text{ + 273.15 = 320.85 K} \end{gathered}`

Now, we can rewrite the formula in terms of the missing value before proceeding to substitute as follows:

`P_1\text{ = }(P_2V_2T_1)/(V_1T_2)\text{ = }(0.422*2.1*294.55)/(1.874*320.85)\text{ = }0.434\text{ atm}`