
Concept explainers
Interpretation: A gas sample has an initial pressure of 547 mmHg and an initial volume of 0.500 L the pressure in atm should be determined when the volume of the sample is decreased by 225 mL assume constant temperature and constant number of moles of gas.
Concept introduction: According to Boyle’s law, at constant temperature and constant number of moles of ideal gas the pressure of the gas is inversely proportional to its volume.
P1V1 = P2V2
Where P is pressure and V is the volume of the gas in state 1 and 2 respectively.
Correct answer:
Correct answer is (d) option (a), (b) and (c) incorrect answer

Explanation of Solution
Reason for correct option: According to Boyle’s law
P1V1 = P2V2
Here the initial pressure (P1) is 547mmHg, initial volume (V1)is 0.500 L and final volume is (V2) is 225 mL .
Converting 225 mL to L:
V2=225 mL×1 L1000 mL(1 L = 1000 mL)= 0.225 L
To calculate the final pressure (P2) :
P1V1 = P2V2P2=V1V2P1= 0.500 L0.225 L×547 mmHg=1215.5 mmHg×1 atm760 mmHg(1 atm=760mm Hg)=1.60 atm
Thus the pressure will be 1.60 atm and the correct answer will be option (d).
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Chapter 11 Solutions
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