Considering the Boyle's law, the new pressure of the sample is 1,776 mmHg.
<h3>What is Boyle's law</h3>
Boyle's law establishes the relationship between the pressure and the volume of a gas when the temperature is constant.
Boyle's law states that the volume occupied by a given mass of gas at constant temperature is inversely proportional to the pressure. This means that if the pressure increases, the volume decreases, while if the pressure decreases, the volume increases.
Boyle's law is expressed mathematically as:
P×V=k
Now it is possible to assume that you have a certain volume of gas V1 which is at a pressure P1 at the beginning of the experiment. If you vary the volume of gas to a new value V2, then the pressure will change to P2, and the following will be true:
P1×V1=P2×V2
<h3>New pressure</h3>
In this case, you know:
- P1= 740 mmHg
- V1= 3 L
- P2= ?
- V2= 1.25 L
Replacing in Boyle's law:
740 mmHg× 3 L=P2× 1.25 L
Solving:
P2= (740 mmHg× 3 L) ÷ 1.25 L
P2= 1,776 mmHg
Finally, the new pressure of the sample is 1,776 mmHg.
Learn more about Boyle's law:
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