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1. A gas sample has a volume of 13.5 L at a pressure of 1.23 atm and a temperature of 34°C. How much pressure will the gas exert if it is compressed into a 10.5 L container at 45°C?

a. 3.64 atm

b. 2.64 atm

c. 1.64 atm

d. 4.64 atm

Sagot :

SOLUTION:

Step 1: List the given values.

To convert the temperature from degree Celsius to kelvin, add 273 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 K} \\ V_2 & = \text{10.5 L} \\ T_2 & = 45^{\circ}\text{C} = \text{318 K} \end{aligned}[/tex]

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

[tex]\begin{aligned} P_2 & = \frac{P_1V_1T_2}{V_2T_1} \\ & = \frac{(\text{1.23 atm})(\text{13.5 L})(\text{318 K})}{(\text{10.5 L})(\text{307 K})} \\ & = \boxed{\text{1.64 atm}} \end{aligned}[/tex]

Hence, the answer is c. 1.64 atm.

[tex]\\[/tex]

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