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A container of gas has an initial pressure of 750 mmHg and an initial volume of 100 cm³. If the pressure is decreased to 100 mmHg while the temperature remains constant, what is the final volume of th

April 13, 2026Physics

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Answer

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B. $750 \text{ cm}^3$

Identify the given values.
Initial pressure, $P_1 = 750 \text{ mmHg}$
Initial volume, $V_1 = 100 \text{ cm}^3$
Final pressure, $P_2 = 100 \text{ mmHg}$
The temperature is constant.
Apply Boyle's Law.
Since the temperature is constant, Boyle's Law applies, which states that $P_1V_1 = P_2V_2$ .
Substitute the values into the formula.
$(750 \text{ mmHg}) \times (100 \text{ cm}^3) = (100 \text{ mmHg}) \times V_2$
Solve for $V_2$ .
$V_2 = \frac{(750 \text{ mmHg}) \times (100 \text{ cm}^3)}{100 \text{ mmHg}}$ $V_2 = 750 \text{ cm}^3$
The final volume of the gas is $750 \text{ cm}^3$ .

The correct option is B.

$\boxed{\text{B. } 750 \text{ cm}^3}$