Answered

The initial pressure of the gas is 457 mmHg, the final volume is 750 mL, with a final pressure of 650 mmHg. What is the initial volume of the gas?

Sagot :

SOLUTION:

Step 1: List the given values.

[tex]\begin{aligned} P_2 & = \text{650 mmHg} \\ V_2 & = \text{750 mL} \\ P_1 & = \text{457 mmHg} \end{aligned}[/tex]

Step 2: Calculate the initial volume by using Boyle's law.

[tex]\begin{aligned} P_1V_1 & = P_2V_2 \\ \frac{P_1V_1}{P_1} & = \frac{P_2V_2}{P_1} \\ V_1 & = \frac{P_2V_2}{P_1} \\ & = \frac{(\text{650 mmHg})(\text{750 mL})}{\text{457 mmHg}} \\ & = \text{1,066.74 mL} \\ & \approx \boxed{\text{1,067 mL}} \end{aligned}[/tex]

Hence, the initial volume of the gas is 1,067 mL.

[tex]\\[/tex]

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