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Avogadro's law states that at a given temperature and pressure, what quantity is constant?
7. Gases
Chemistry Gas Laws
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A sample of gas has an initial volume of 5.6 L at a pressure of 735 mmHg. If the volume of the gas is increased to 9.4 L, what is its pressure, assuming temperature and amount of gas remain constant?
A
1230 mmHg
B
735 mmHg
C
920 mmHg
D
438 mmHg
Verified step by step guidance1
Identify the relationship between pressure and volume for a gas when temperature and amount of gas are constant. This is described by Boyle's Law, which states that the product of pressure and volume is constant: \( P_1V_1 = P_2V_2 \).
Write down the known values from the problem: \( P_1 = 735 \) mmHg, \( V_1 = 5.6 \) L, and \( V_2 = 9.4 \) L. We need to find \( P_2 \).
Rearrange Boyle's Law to solve for the unknown pressure \( P_2 \): \( P_2 = \frac{P_1V_1}{V_2} \).
Substitute the known values into the equation: \( P_2 = \frac{735 \text{ mmHg} \times 5.6 \text{ L}}{9.4 \text{ L}} \).
Perform the calculation to find \( P_2 \). This will give you the pressure of the gas after the volume has increased.
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