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With the temperature and amount of gas remaining constant, the new pressure for a sample of gas with a volume of 5.75 l at 425 mmHg is 562 mmHg. We can use gas constant.
The force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure (symbol: p or P). The pressure relative to the surrounding air is known as gauge pressure, sometimes spelled gauge pressure. The sign R or R stands for the molar gas constant, also known as the gas constant, universal gas constant, or ideal gas constant. It is the Boltzmann constant's molar equivalent, measured in units of energy per degree of temperature increment and amount of substance. According to Boyle's rule, pressure and volume are inversely related at constant temperature and gas volume, hence P1V1 = P2V2 P2=P1V1 /V2 V1 = beginning gas volume = 5.75 L V2 = final gas volume = 7.60 L.
P1 = 425 mmHg initial gas pressure
If we plug the value P2= 425*7.60/5.75 = 561.7 mmHg, the answer is the fourth choice at 562 mmHg.
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