Answered

1. A gas sample has a volume of 13.5 L at a pressure of 1.23 atm and a temperature of 34°C. What volume will the gas sample occupy at standard temperature and pressure (STP)? STP is 273.15 K and 1 atm, respectively.

a. 12.8 L

b. 14.8 L

c. L

d. 11.8 L

Sagot :

SOLUTION:

Step 1: List the given values.

To convert the temperature from degree Celsius to kelvin, add 273.15 to the temperature expressed in degree Celsius.

[tex]\begin{aligned} P_1 & = \text{1.23 atm} \\ V_1 & = \text{13.5 L} \\ T_1 & = = 34^{\circ}\text{C} = \text{307.15 K} \\ P_2 & = \text{1.00 atm} \\ T_2 & = \text{273.15 K} \end{aligned}[/tex]

Step 2: Calculate the final volume using combined gas law.

[tex]\begin{aligned} V_2 & = \frac{V_1P_1T_2}{P_2T_1} \\ & = \frac{(\text{13.5 L})(\text{1.23 atm})(\text{273.15 K})}{(\text{1.00 atm})(\text{307.15 K})} \\ & = \boxed{\text{14.8 L}} \end{aligned}[/tex]

Hence, the answer is b. 14.8 L.

[tex]\\[/tex]

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